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---- 4D ----

This page is available sorted by point-group symmetry (below)
or by complexity (only including[[:space:]]starry[[:space:]]cases for quasiregular linear diagrams)
or by similarity.


Terse Overview

Indepted to the mere quantity of cases the following overview table links to additional pages too; only parts are listed in details below.

Linear Dynkin Graphs Tridental Dynkin Graphs Loop-n-Tail Dynkin Graphs Loop Dynkin Graphs Two-Loop Dynkin Graphs Simplical Dynkin Graphs Others



  o-P-o-Q-o-R-o  



o-P-o-Q-o *b-R-o  =

  o_
     -P_
         >o---R---o  
     _Q-
  o-
o-P-o-Q-o-R-o-S-*b  =

  o_
  |  -Q_
  R      >o---P---o
  |  _S-
  o-
o-P-o-Q-o-R-o-S-*a  =

  o---P---o
  |       |
  S       Q
  |       |
  o---R---o
o-P-o-Q-o-R-o-S-*a-T-*c  =

         _o_
     _P-  |  -S_
  o<      T      >o
     -Q_  |  _R-
         -o-
o-P-o-Q-o-R-o-S-*a-T-*c  *b-U-*d  =

        o
      / T \
     P _o_ S
   /_Q     R_\
  o-----U-----o

In the following symmetry listings "etc." means replacments according to 33/2, to 44/3, to 55/4, or to 5/25/3.

Polychora with Grünbaumian elements so far are not investigated any further. Those are Grünbaumian a priori, usually because of some subgraph -x-n/d-x-, where d is even. Others, which come out as being Grünbaumian a posteriori will be given none the less.

*) not even a scaliform representation does exist, just occures as pure faceting
**) not uniform, but at least scaliform



loop-n-tail ones
o-P-o-Q-o-R-o-S-*b   =

  o_
  |  -Q_
  R      >o---P---o
  |  _S-
  o-

Pentachoral ("pentic") Symmetries   (up)

  o3o3o3/2o3*b (µ=2) o3o3o3o3/2*b (µ=3) o3/2o3o3o3/2*b (µ=7)
quasiregulars
x3o3o3/2o3*b - 2pen (?)
   (contains "2tet" as verf)
o3x3o3/2o3*b - (contains "2tet")
o3o3x3/2o3*b - (contains "2tet")
x3o3o3o3/2*b - 2pen (?)
   (contains "2tet" as verf)
o3x3o3o3/2*b - (contains "2tet")
o3o3x3o3/2*b - (contains "2tet")
o3o3o3x3/2*b - (contains "2tet")
x3/2o3o3o3/2*b - 2pen (?)
   (contains "2tet" as verf)
o3/2x3o3o3/2*b - (contains "2tet")
o3/2o3x3o3/2*b - (contains "2tet")
o3/2o3o3x3/2*b - (contains "2tet")
other
Wythoffians
x3x3o3/2o3*b - (contains "2tet")
x3o3x3/2o3*b - (contains "2tet")
o3x3x3/2o3*b - rawvtip
o3o3x3/2x3*b - [Grünbaumian]
x3x3x3/2o3*b - pittip
x3o3x3/2x3*b - [Grünbaumian]
o3x3x3/2x3*b - [Grünbaumian]
x3x3x3/2x3*b - [Grünbaumian]
x3x3o3o3/2*b - (contains "2tet")
x3o3x3o3/2*b - piphid+10tet (?)
   (contains "2tet")
x3o3o3x3/2*b - (contains "2tet")
o3x3x3o3/2*b - rawvtip
o3x3o3x3/2*b - [Grünbaumian]
o3o3x3x3/2*b - duhd
x3x3x3o3/2*b - pittip
x3x3o3x3/2*b - [Grünbaumian]
x3o3x3x3/2*b - (contains "2thah")
o3x3x3x3/2*b - [Grünbaumian]
x3x3x3x3/2*b - [Grünbaumian]
x3/2x3o3o3/2*b - [Grünbaumian]
x3/2o3x3o3/2*b - (contains "2tet")
x3/2o3o3x3/2*b - (contains "2tet")
o3/2x3x3o3/2*b - rawvtip
o3/2x3o3x3/2*b - [Grünbaumian]
o3/2o3x3x3/2*b - duhd
x3/2x3x3o3/2*b - [Grünbaumian]
x3/2x3o3x3/2*b - [Grünbaumian]
x3/2o3x3x3/2*b - (contains "2thah")
o3/2x3x3x3/2*b - [Grünbaumian]
x3/2x3x3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o3/2o3o3/2o3*b (µ=8) o3o3/2o3/2o3/2*b (µ=12) o3/2o3/2o3/2o3/2*b (µ=18)
quasiregulars
x3/2o3o3/2o3*b - 2pen (?)
   (contains "2tet" as verf)
o3/2x3o3/2o3*b - (contains "2tet")
o3/2o3x3/2o3*b - (contains "2tet")
x3o3/2o3/2o3/2*b - 2pen (?)
   (contains "2tet" as verf)
o3x3/2o3/2o3/2*b - (contains "2tet")
o3o3/2x3/2o3/2*b - (contains "2tet")
x3/2o3/2o3/2o3/2*b - 2pen (?)
   (contains "2tet" as verf)
o3/2x3/2o3/2o3/2*b - (contains "2tet")
o3/2o3/2x3/2o3/2*b - (contains "2tet")
other
Wythoffians
x3/2x3o3/2o3*b - [Grünbaumian]
x3/2o3x3/2o3*b - (contains "2tet")
o3/2x3x3/2o3*b - rawvtip
o3/2o3x3/2x3*b - [Grünbaumian]
x3/2x3x3/2o3*b - [Grünbaumian]
x3/2o3x3/2x3*b - [Grünbaumian]
o3/2x3x3/2x3*b - [Grünbaumian]
x3/2x3x3/2x3*b - [Grünbaumian]
x3x3/2o3/2o3/2*b - (contains "2tet")
x3o3/2x3/2o3/2*b - (contains "2tet")
o3x3/2x3/2o3/2*b - [Grünbaumian]
o3o3/2x3/2x3/2*b - [Grünbaumian]
x3x3/2x3/2o3/2*b - [Grünbaumian]
x3o3/2x3/2x3/2*b - [Grünbaumian]
o3x3/2x3/2x3/2*b - [Grünbaumian]
x3x3/2x3/2x3/2*b - [Grünbaumian]
x3/2x3/2o3/2o3/2*b - [Grünbaumian]
x3/2o3/2x3/2o3/2*b - (contains "2tet")
o3/2x3/2x3/2o3/2*b - [Grünbaumian]
o3/2o3/2x3/2x3/2*b - [Grünbaumian]
x3/2x3/2x3/2o3/2*b - [Grünbaumian]
x3/2o3/2x3/2x3/2*b - [Grünbaumian]
o3/2x3/2x3/2x3/2*b - [Grünbaumian]
x3/2x3/2x3/2x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Tesseractic ("tessic") Symmetries – type o3o3/2o4o4*b   (up)

  o3o3/2o4o4*b (µ=3) o3o3o4/3o4*b (µ=5) o3o3o4o4/3*b (µ=11) o3/2o3/2o4o4*b (µ=13)
quasiregulars
x3o3/2o4o4*b - hex+8oct (?)
   (contains "oct+6{4}" as verf)
o3x3/2o4o4*b - (contains "oct+6{4}")
o3o3/2x4o4*b - (contains "oct+6{4}")
o3o3/2o4x4*b - (contains "2cube")
x3o3o4/3o4*b - hex+8oct (?)
   (contains "oct+6{4}" as verf)
o3x3o4/3o4*b - (contains "oct+6{4}")
o3o3x4/3o4*b - (contains "oct+6{4}")
o3o3o4/3x4*b - (contains "2cube")
x3o3o4o4/3*b - hex+8oct (?)
   (contains "oct+6{4}" as verf)
o3x3o4o4/3*b - (contains "oct+6{4}")
o3o3x4o4/3*b - (contains "oct+6{4}")
o3o3o4x4/3*b - (contains "2cube")
x3/2o3/2o4o4*b - hex+8oct (?)
   (contains "oct+6{4}" as verf)
o3/2x3/2o4o4*b - (contains "oct+6{4}")
o3/2o3/2x4o4*b - (contains "oct+6{4}")
o3/2o3/2o4x4*b - (contains "2cube")
other
Wythoffians
x3x3/2o4o4*b - (contains "oct+6{4}")
x3o3/2x4o4*b - (contains "oct+6{4}")
x3o3/2o4x4*b - (contains "2cube")
o3x3/2x4o4*b - [Grünbaumian]
o3x3/2o4x4*b - rawvatoth
o3o3/2x4x4*b - steth
x3x3/2x4o4*b - [Grünbaumian]
x3x3/2o4x4*b - sichado
x3o3/2x4x4*b - 
o3x3/2x4x4*b - [Grünbaumian]
x3x3/2x4x4*b - [Grünbaumian]
x3x3o4/3o4*b - (contains "oct+6{4}")
x3o3x4/3o4*b - (contains "oct+6{4}")
x3o3o4/3x4*b - (contains "2cube")
o3x3x4/3o4*b - (contains "2cho")
o3x3o4/3x4*b - rawvatoth
o3o3x4/3x4*b - gittith
x3x3x4/3o4*b - (contains "2cho")
x3x3o4/3x4*b - sichado
x3o3x4/3x4*b - skiviphado
o3x3x4/3x4*b - thatoth
x3x3x4/3x4*b - thatpath
x3x3o4o4/3*b - (contains "oct+6{4}")
x3o3x4o4/3*b - (contains "oct+6{4}")
x3o3o4x4/3*b - (contains "2cube")
o3x3x4o4/3*b - (contains "2cho")
o3x3o4x4/3*b - wavitoth
o3o3x4x4/3*b - steth
x3x3x4o4/3*b - (contains "2cho")
x3x3o4x4/3*b - gichado
x3o3x4x4/3*b - gikviphado
o3x3x4x4/3*b - thaquitoth
x3x3x4x4/3*b - thaquitpath
x3/2x3/2o4o4*b - [Grünbaumian]
x3/2o3/2x4o4*b - (contains "oct+6{4}")
x3/2o3/2o4x4*b - (contains "2cube")
o3/2x3/2x4o4*b - [Grünbaumian]
o3/2x3/2o4x4*b - rawvatoth
o3/2o3/2x4x4*b - steth
x3/2x3/2x4o4*b - [Grünbaumian]
x3/2x3/2o4x4*b - [Grünbaumian]
x3/2o3/2x4x4*b - gikviphado
o3/2x3/2x4x4*b - [Grünbaumian]
x3/2x3/2x4x4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o3/2o3o4o4/3*b (µ=21) o3/2o3o4/3o4*b (µ=27) o3o3/2o4/3o4/3*b (µ=45) o3/2o3/2o4/3o4/3*b (µ=67)
quasiregulars
x3/2o3o4o4/3*b - hex+8oct (?)
   (contains "oct+6{4}" as verf)
o3/2x3o4o4/3*b - (contains "oct+6{4}")
o3/2o3x4o4/3*b - (contains "oct+6{4}")
o3/2o3o4x4/3*b - (contains "2cube")
x3/2o3o4/3o4*b - hex+8oct (?)
   (contains "oct+6{4}" as verf)
o3/2x3o4/3o4*b - (contains "oct+6{4}")
o3/2o3x4/3o4*b - (contains "oct+6{4}")
o3/2o3o4/3x4*b - (contains "2cube")
x3o3/2o4/3o4/3*b - hex+8oct (?)
   (contains "oct+6{4}" as verf)
o3x3/2o4/3o4/3*b - (contains "oct+6{4}")
o3o3/2x4/3o4/3*b - (contains "oct+6{4}")
o3o3/2o4/3x4/3*b - (contains "2cube")
x3/2o3/2o4/3o4/3*b - hex+8oct (?)
   (contains "oct+6{4}" as verf)
o3/2x3/2o4/3o4/3*b - (contains "oct+6{4}")
o3/2o3/2x4/3o4/3*b - (contains "oct+6{4}")
o3/2o3/2o4/3x4/3*b - (contains "2cube")
other
Wythoffians
x3/2x3o4o4/3*b - [Grünbaumian]
x3/2o3x4o4/3*b - (contains "oct+6{4}")
x3/2o3o4x4/3*b - (contains "2cube")
o3/2x3x4o4/3*b - (contains "2cho")
o3/2x3o4x4/3*b - wavitoth
o3/2o3x4x4/3*b - steth
x3/2x3x4o4/3*b - [Grünbaumian]
x3/2x3o4x4/3*b - [Grünbaumian]
x3/2o3x4x4/3*b - (contains "2thah")
o3/2x3x4x4/3*b - thaquitoth
x3/2x3x4x4/3*b - [Grünbaumian]
x3/2x3o4/3o4*b - [Grünbaumian]
x3/2o3x4/3o4*b - (contains "oct+6{4}")
x3/2o3o4/3x4*b - (contains "2cube")
o3/2x3x4/3o4*b - (contains "2cho")
o3/2x3o4/3x4*b - rawvatoth
o3/2o3x4/3x4*b - gittith
x3/2x3x4/3o4*b - [Grünbaumian]
x3/2x3o4/3x4*b - [Grünbaumian]
x3/2o3x4/3x4*b - (contains "2thah")
o3/2x3x4/3x4*b - thatoth
x3/2x3x4/3x4*b - [Grünbaumian]
x3x3/2o4/3o4/3*b - (contains "oct+6{4}")
x3o3/2x4/3o4/3*b - (contains "oct+6{4}")
x3o3/2o4/3x4/3*b - (contains "2cube")
o3x3/2x4/3o4/3*b - [Grünbaumian]
o3x3/2o4/3x4/3*b - wavitoth
o3o3/2x4/3x4/3*b - gittith
x3x3/2x4/3o4/3*b - [Grünbaumian]
x3x3/2o4/3x4/3*b - gichado
x3o3/2x4/3x4/3*b - (contains "2thah")
o3x3/2x4/3x4/3*b - [Grünbaumian]
x3x3/2x4/3x4/3*b - [Grünbaumian]
x3/2x3/2o4/3o4/3*b - [Grünbaumian]
x3/2o3/2x4/3o4/3*b - (contains "oct+6{4}")
x3/2o3/2o4/3x4/3*b - (contains "2cube")
o3/2x3/2x4/3o4/3*b - [Grünbaumian]
o3/2x3/2o4/3x4/3*b - wavitoth
o3/2o3/2x4/3x4/3*b - gittith
x3/2x3/2x4/3o4/3*b - [Grünbaumian]
x3/2x3/2o4/3x4/3*b - [Grünbaumian]
x3/2o3/2x4/3x4/3*b - skiviphado
o3/2x3/2x4/3x4/3*b - [Grünbaumian]
x3/2x3/2x4/3x4/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Tesseractic ("tessic") Symmetries – type o4o3o3/2o3*b   (up)

  o4o3o3/2o3*b (µ=2) o4o3o3o3/2*b (µ=6) o4/3o3o3o3/2*b (µ=26)
quasiregulars
x4o3o3/2o3*b - 2tes (?)
   (contains q-"2tet" as verf)
o4x3o3/2o3*b - (contains "2tet")
o4o3x3/2o3*b - (contains "2tet")
x4o3o3o3/2*b - 2tes (?)
   (contains q-"2tet" as verf)
o4x3o3o3/2*b - (contains "2tet")
o4o3x3o3/2*b - (contains "2tet")
o4o3o3x3/2*b - (contains "2tet")
x4/3o3o3o3/2*b - 2tes (?)
   (contains q-"2tet" as verf)
o4/3x3o3o3/2*b - (contains "2tet")
o4/3o3x3o3/2*b - (contains "2tet")
o4/3o3o3x3/2*b - (contains "2tet")
other
Wythoffians
x4x3o3/2o3*b - (contains "2tet")
x4o3x3/2o3*b - (contains "2tet")
o4x3x3/2o3*b - rawvhitto
o4o3x3/2x3*b - [Grünbaumian]
x4x3x3/2o3*b - siphado
x4o3x3/2x3*b - [Grünbaumian]
o4x3x3/2x3*b - [Grünbaumian]
x4x3x3/2x3*b - [Grünbaumian]
x4x3o3o3/2*b - (contains "2tet")
x4o3x3o3/2*b - (contains "2tet")
x4o3o3x3/2*b - (contains "2tet")
o4x3x3o3/2*b - rawvhitto
o4x3o3x3/2*b - [Grünbaumian]
o4o3x3x3/2*b - 2oh (?)
x4x3x3o3/2*b - siphado
x4x3o3x3/2*b - [Grünbaumian]
x4o3x3x3/2*b - kaviphdit
o4x3x3x3/2*b - [Grünbaumian]
x4x3x3x3/2*b - [Grünbaumian]
x4/3x3o3o3/2*b - (contains "2tet")
x4/3o3x3o3/2*b - (contains "2tet")
x4/3o3o3x3/2*b - (contains "2tet")
o4/3x3x3o3/2*b - rawvhitto
o4/3x3o3x3/2*b - [Grünbaumian]
o4/3o3x3x3/2*b - 2oh (?)
x4/3x3x3o3/2*b - giphado
x4/3x3o3x3/2*b - [Grünbaumian]
x4/3o3x3x3/2*b - kaviphdit
o4/3x3x3x3/2*b - [Grünbaumian]
x4/3x3x3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o4/3o3o3/2o3*b (µ=30) o4o3/2o3/2o3/2*b (µ=34) o4/3o3/2o3/2o3/2*b (µ=62)
quasiregulars
x4/3o3o3/2o3*b - 2tes (?)
   (contains q-"2tet" as verf)
o4/3x3o3/2o3*b - (contains "2tet")
o4/3o3x3/2o3*b - (contains "2tet")
x4o3/2o3/2o3/2*b - 2tes (?)
   (contains q-"2tet" as verf)
o4x3/2o3/2o3/2*b - (contains "2tet")
o4o3/2x3/2o3/2*b - (contains "2tet")
x4/3o3/2o3/2o3/2*b - 2tes (?)
   (contains q-"2tet" as verf)
o4/3x3/2o3/2o3/2*b - (contains "2tet")
o4/3o3/2x3/2o3/2*b - (contains "2tet")
other
Wythoffians
x4/3x3o3/2o3*b - (contains "2tet")
x4/3o3x3/2o3*b - (contains "2tet")
o4/3x3x3/2o3*b - rawvhitto
o4/3o3x3/2x3*b - [Grünbaumian]
x4/3x3x3/2o3*b - giphado
x4/3o3x3/2x3*b - [Grünbaumian]
o4/3x3x3/2x3*b - [Grünbaumian]
x4/3x3x3/2x3*b - [Grünbaumian]
x4x3/2o3/2o3/2*b - (contains "2tet")
x4o3/2x3/2o3/2*b - (contains "2tet")
o4x3/2x3/2o3/2*b - [Grünbaumian]
o4o3/2x3/2x3/2*b - [Grünbaumian]
x4x3/2x3/2o3/2*b - [Grünbaumian]
x4o3/2x3/2x3/2*b - [Grünbaumian]
o4x3/2x3/2x3/2*b - [Grünbaumian]
x4x3/2x3/2x3/2*b - [Grünbaumian]
x4/3x3/2o3/2o3/2*b - (contains "2tet")
x4/3o3/2x3/2o3/2*b - (contains "2tet")
o4/3x3/2x3/2o3/2*b - [Grünbaumian]
o4/3o3/2x3/2x3/2*b - [Grünbaumian]
x4/3x3/2x3/2o3/2*b - [Grünbaumian]
x4/3o3/2x3/2x3/2*b - [Grünbaumian]
o4/3x3/2x3/2x3/2*b - [Grünbaumian]
x4/3x3/2x3/2x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Icositetrachoral ("icoic") Symmetries   (up)

  o3o4o3/2o4*b (µ=2) o3o4o3o4/3*b (µ=22) o3/2o4o3/2o4*b (µ=46)
quasiregulars
x3o4o3/2o4*b - 2ico (?)
   (contains "2cube" as verf)
o3x4o3/2o4*b - (contains "2cube")
o3o4x3/2o4*b - (contains "oct+6{4}")
x3o4o3o4/3*b - 2ico (?)
   (contains "2cube" as verf)
o3x4o3o4/3*b - (contains "2cube")
o3o4x3o4/3*b - (contains "oct+6{4}")
o3o4o3x4/3*b - (contains "oct+6{4}")
x3/2o4o3/2o4*b - 2ico (?)
   (contains "2cube" as verf)
o3/2x4o3/2o4*b - (contains "2cube")
o3/2o4x3/2o4*b - (contains "oct+6{4}")
other
Wythoffians
x3x4o3/2o4*b - (contains "2cube")
x3o4x3/2o4*b - (contains "oct+6{4}")
o3x4x3/2o4*b - rawvaty
o3o4x3/2x4*b - [Grünbaumian]
x3x4x3/2o4*b - sipti
x3o4x3/2x4*b - [Grünbaumian]
o3x4x3/2x4*b - [Grünbaumian]
x3x4x3/2x4*b - [Grünbaumian]
x3x4o3o4/3*b - (contains "2cube")
x3o4x3o4/3*b - (contains "oct+6{4}")
x3o4o3x4/3*b - (contains "oct+6{4}")
o3x4x3o4/3*b - rawvaty
o3x4o3x4/3*b - wavaty
o3o4x3x4/3*b - (contains "2cho")
x3x4x3o4/3*b - sipti
x3x4o3x4/3*b - gipti
x3o4x3x4/3*b - (contains "2cho")
o3x4x3x4/3*b - iquatoc
x3x4x3x4/3*b - iquatpic
x3/2x4o3/2o4*b - [Grünbaumian]
x3/2o4x3/2o4*b - (contains "oct+6{4}")
o3/2x4x3/2o4*b - rawvaty
o3/2o4x3/2x4*b - [Grünbaumian]
x3/2x4x3/2o4*b - [Grünbaumian]
x3/2o4x3/2x4*b - [Grünbaumian]
o3/2x4x3/2x4*b - [Grünbaumian]
x3/2x4x3/2x4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o3/2o4o3o4/3*b (µ=74) o3o4/3o3/2o4/3*b (µ=146) o3/2o4/3o3/2o4/3*b (µ=190)
quasiregulars
x3/2o4o3o4/3*b - 2ico (?)
   (contains "2cube" as verf)
o3/2x4o3o4/3*b - (contains "2cube")
o3/2o4x3o4/3*b - (contains "oct+6{4}")
o3/2o4o3x4/3*b - (contains "oct+6{4}")
x3o4/3o3/2o4/3*b - 2ico (?)
   (contains "2cube" as verf)
o3x4/3o3/2o4/3*b - (contains "2cube")
o3o4/3x3/2o4/3*b - (contains "oct+6{4}")
x3/2o4/3o3/2o4/3*b - 2ico (?)
   (contains "2cube" as verf)
o3/2x4/3o3/2o4/3*b - (contains "2cube")
o3/2o4/3x3/2o4/3*b - (contains "oct+6{4}")
other
Wythoffians
x3/2x4o3o4/3*b - [Grünbaumian]
x3/2o4x3o4/3*b - (contains "oct+6{4}")
x3/2o4o3x4/3*b - (contains "oct+6{4}")
o3/2x4x3o4/3*b - rawvaty
o3/2x4o3x4/3*b - wavaty
o3/2o4x3x4/3*b - (contains "2cho")
x3/2x4x3o4/3*b - [Grünbaumian]
x3/2x4o3x4/3*b - [Grünbaumian]
x3/2o4x3x4/3*b - (contains "2cho")
o3/2x4x3x4/3*b - iquatoc
x3/2x4x3x4/3*b - [Grünbaumian]
x3x4/3o3/2o4/3*b - (contains "2cube")
x3o4/3x3/2o4/3*b - (contains "oct+6{4}")
o3x4/3x3/2o4/3*b - wavaty
o3o4/3x3/2x4/3*b - [Grünbaumian]
x3x4/3x3/2o4/3*b - gipti
x3o4/3x3/2x4/3*b - [Grünbaumian]
o3x4/3x3/2x4/3*b - [Grünbaumian]
x3x4/3x3/2x4/3*b - [Grünbaumian]
x3/2x4/3o3/2o4/3*b - [Grünbaumian]
x3/2o4/3x3/2o4/3*b - (contains "oct+6{4}")
o3/2x4/3x3/2o4/3*b - wavaty
o3/2o4/3x3/2x4/3*b - [Grünbaumian]
x3/2x4/3x3/2o4/3*b - [Grünbaumian]
x3/2o4/3x3/2x4/3*b - [Grünbaumian]
o3/2x4/3x3/2x4/3*b - [Grünbaumian]
x3/2x4/3x3/2x4/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o3/2o5*b   (up)

  o3o3o3/2o5*b (µ=39) o3o3/2o3o5*b (µ=81) o3o3o3o5/4*b (µ=561) o3/2o3/2o3o5*b (µ=639)
quasiregulars
x3o3o3/2o5*b - gidtixhi
o3x3o3/2o5*b - riggidtixhi
o3o3x3/2o5*b - (contains "2gike")
o3o3o3/2x5*b - giddatady
x3o3/2o3o5*b - gidtixhi
o3x3/2o3o5*b - riggidtixhi
o3o3/2x3o5*b - (contains "2gike")
o3o3/2o3x5*b - giddatady
x3o3o3o5/4*b - gidtixhi
o3x3o3o5/4*b - riggidtixhi
o3o3x3o5/4*b - (contains "2gike")
o3o3o3x5/4*b - giddatady
x3/2o3/2o3o5*b - gidtixhi
o3/2x3/2o3o5*b - riggidtixhi
o3/2o3/2x3o5*b - (contains "2gike")
o3/2o3/2o3x5*b - giddatady
other
Wythoffians
x3x3o3/2o5*b - tiggidtixhi
x3o3x3/2o5*b - (contains "2gike")
x3o3o3/2x5*b - sadtef pixady
o3x3x3/2o5*b - grawvixady
o3x3o3/2x5*b - (contains "2seihid")
o3o3x3/2x5*b - [Grünbaumian]
x3x3x3/2o5*b - giphixhi
x3x3o3/2x5*b - (contains "2seihid")
x3o3x3/2x5*b - [Grünbaumian]
o3x3x3/2x5*b - [Grünbaumian]
x3x3x3/2x5*b - [Grünbaumian]
x3x3/2o3o5*b - tiggidtixhi
x3o3/2x3o5*b - (contains "2gike")
x3o3/2o3x5*b - sadtef pixady
o3x3/2x3o5*b - [Grünbaumian]
o3x3/2o3x5*b - (contains "2seihid")
o3o3/2x3x5*b - gohihix
x3x3/2x3o5*b - [Grünbaumian]
x3x3/2o3x5*b - (contains "2seihid")
x3o3/2x3x5*b - (contains "2thah")
o3x3/2x3x5*b - [Grünbaumian]
x3x3/2x3x5*b - [Grünbaumian]
x3x3o3o5/4*b - tiggidtixhi
x3o3x3o5/4*b - (contains "2gike")
x3o3o3x5/4*b - (contains gicdatrid)
o3x3x3o5/4*b - grawvixady
o3x3o3x5/4*b - [Grünbaumian]
o3o3x3x5/4*b - gohihix
x3x3x3o5/4*b - giphixhi
x3x3o3x5/4*b - [Grünbaumian]
x3o3x3x5/4*b - (contains gicdatrid)
o3x3x3x5/4*b - [Grünbaumian]
x3x3x3x5/4*b - [Grünbaumian]
x3/2x3/2o3o5*b - [Grünbaumian]
x3/2o3/2x3o5*b - (contains "2gike")
x3/2o3/2o3x5*b - (contains gicdatrid)
o3/2x3/2x3o5*b - [Grünbaumian]
o3/2x3/2o3x5*b - (contains "2seihid")
o3/2o3/2x3x5*b - gohihix
x3/2x3/2x3o5*b - [Grünbaumian]
x3/2x3/2o3x5*b - [Grünbaumian]
x3/2o3/2x3x5*b - (contains gicdatrid)
o3/2x3/2x3x5*b - [Grünbaumian]
x3/2x3/2x3x5*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o3/2o3o3/2o5*b (µ=681) o3/2o3o3o5/4*b (µ=1119) o3o3/2o3/2o5/4*b (µ=1719) o3/2o3/2o3/2o5/4*b (µ=2361)
quasiregulars
x3/2o3o3/2o5*b - gidtixhi
o3/2x3o3/2o5*b - riggidtixhi
o3/2o3x3/2o5*b - (contains "2gike")
o3/2o3o3/2x5*b - giddatady
x3/2o3o3o5/4*b - gidtixhi
o3/2x3o3o5/4*b - riggidtixhi
o3/2o3x3o5/4*b - (contains "2gike")
o3/2o3o3x5/4*b - giddatady
x3o3/2o3/2o5/4*b - gidtixhi
o3x3/2o3/2o5/4*b - riggidtixhi
o3o3/2x3/2o5/4*b - (contains "2gike")
o3o3/2o3/2x5/4*b - giddatady
x3/2o3/2o3/2o5/4*b - gidtixhi
o3/2x3/2o3/2o5/4*b - riggidtixhi
o3/2o3/2x3/2o5/4*b - (contains "2gike")
o3/2o3/2o3/2x5/4*b - giddatady
other
Wythoffians
x3/2x3o3/2o5*b - [Grünbaumian]
x3/2o3x3/2o5*b - (contains "2gike")
x3/2o3o3/2x5*b - (contains gicdatrid)
o3/2x3x3/2o5*b - grawvixady
o3/2x3o3/2x5*b - (contains "2seihid")
o3/2o3x3/2x5*b - [Grünbaumian]
x3/2x3x3/2o5*b - [Grünbaumian]
x3/2x3o3/2x5*b - [Grünbaumian]
x3/2o3x3/2x5*b - [Grünbaumian]
o3/2x3x3/2x5*b - [Grünbaumian]
x3/2x3x3/2x5*b - [Grünbaumian]
x3/2x3o3o5/4*b - [Grünbaumian]
x3/2o3x3o5/4*b - (contains "2gike")
x3/2o3o3x5/4*b - sadtef pixady
o3/2x3x3o5/4*b - grawvixady
o3/2x3o3x5/4*b - [Grünbaumian]
o3/2o3x3x5/4*b - gohihix
x3/2x3x3o5/4*b - [Grünbaumian]
x3/2x3o3x5/4*b - [Grünbaumian]
x3/2o3x3x5/4*b - (contains "2thah")
o3/2x3x3x5/4*b - [Grünbaumian]
x3/2x3x3x5/4*b - [Grünbaumian]
x3x3/2o3/2o5/4*b - tiggidtixhi
x3o3/2x3/2o5/4*b - (contains "2gike")
x3o3/2o3/2x5/4*b - (contains gicdatrid)
o3x3/2x3/2o5/4*b - [Grünbaumian]
o3x3/2o3/2x5/4*b - [Grünbaumian]
o3o3/2x3/2x5/4*b - [Grünbaumian]
x3x3/2x3/2o5/4*b - [Grünbaumian]
x3x3/2o3/2x5/4*b - [Grünbaumian]
x3o3/2x3/2x5/4*b - [Grünbaumian]
o3x3/2x3/2x5/4*b - [Grünbaumian]
x3x3/2x3/2x5/4*b - [Grünbaumian]
x3/2x3/2o3/2o5/4*b - [Grünbaumian]
x3/2o3/2x3/2o5/4*b - (contains "2gike")
x3/2o3/2o3/2x5/4*b - sadtef pixady
o3/2x3/2x3/2o5/4*b - [Grünbaumian]
o3/2x3/2o3/2x5/4*b - [Grünbaumian]
o3/2o3/2x3/2x5/4*b - [Grünbaumian]
x3/2x3/2x3/2o5/4*b - [Grünbaumian]
x3/2x3/2o3/2x5/4*b - [Grünbaumian]
x3/2o3/2x3/2x5/4*b - [Grünbaumian]
o3/2x3/2x3/2x5/4*b - [Grünbaumian]
x3/2x3/2x3/2x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o3o5/2*b   (up)

  o3o3o3o5/2*b (µ=9) o3/2o3o3o5/2*b (µ=231) o3o3o3/2o5/3*b (µ=591) o3o3/2o3/2o5/2*b (µ=831)
quasiregulars
x3o3o3o5/2*b - sidtixhi
o3x3o3o5/2*b - rissidtixhi
o3o3x3o5/2*b - (contains "2ike")
o3o3o3x5/2*b - dattady
x3/2o3o3o5/2*b - sidtixhi
o3/2x3o3o5/2*b - rissidtixhi
o3/2o3x3o5/2*b - (contains "2ike")
o3/2o3o3x5/2*b - dattady
x3o3o3/2o5/3*b - sidtixhi
o3x3o3/2o5/3*b - rissidtixhi
o3o3x3/2o5/3*b - (contains "2ike")
o3o3o3/2x5/3*b - dattady
x3o3/2o3/2o5/2*b - sidtixhi
o3x3/2o3/2o5/2*b - rissidtixhi
o3o3/2x3/2o5/2*b - (contains "2ike")
o3o3/2o3/2x5/2*b - dattady
other
Wythoffians
x3x3o3o5/2*b - tissidtixhi
x3o3x3o5/2*b - (contains "2ike")
x3o3o3x5/2*b - (contains sicdatrid)
o3x3x3o5/2*b - swavixady
o3x3o3x5/2*b - [Grünbaumian]
o3o3x3x5/2*b - shihix
x3x3x3o5/2*b - sphixhi
x3x3o3x5/2*b - [Grünbaumian]
x3o3x3x5/2*b - (contains sicdatrid)
o3x3x3x5/2*b - [Grünbaumian]
x3x3x3x5/2*b - [Grünbaumian]
x3/2x3o3o5/2*b - [Grünbaumian]
x3/2o3x3o5/2*b - (contains "2ike")
x3/2o3o3x5/2*b - gadtef pixady
o3/2x3x3o5/2*b - swavixady
o3/2x3o3x5/2*b - [Grünbaumian]
o3/2o3x3x5/2*b - shihix
x3/2x3x3o5/2*b - [Grünbaumian]
x3/2x3o3x5/2*b - [Grünbaumian]
x3/2o3x3x5/2*b - (contains "2thah")
o3/2x3x3x5/2*b - [Grünbaumian]
x3/2x3x3x5/2*b - [Grünbaumian]
x3x3o3/2o5/3*b - tissidtixhi
x3o3x3/2o5/3*b - (contains "2ike")
x3o3o3/2x5/3*b - gadtef pixady
o3x3x3/2o5/3*b - swavixady
o3x3o3/2x5/3*b - (contains "2geihid")
o3o3x3/2x5/3*b - [Grünbaumian]
x3x3x3/2o5/3*b - sphixhi
x3x3o3/2x5/3*b - (contains "2geihid")
x3o3x3/2x5/3*b - [Grünbaumian]
o3x3x3/2x5/3*b - [Grünbaumian]
x3x3x3/2x5/3*b - [Grünbaumian]
x3x3/2o3/2o5/2*b - tissidtixhi
x3o3/2x3/2o5/2*b - (contains "2ike")
x3o3/2o3/2x5/2*b - (contains sicdatrid)
o3x3/2x3/2o5/2*b - [Grünbaumian]
o3x3/2o3/2x5/2*b - [Grünbaumian]
o3o3/2x3/2x5/2*b - [Grünbaumian]
x3x3/2x3/2o5/2*b - [Grünbaumian]
x3x3/2o3/2x5/2*b - [Grünbaumian]
x3o3/2x3/2x5/2*b - [Grünbaumian]
o3x3/2x3/2x5/2*b - [Grünbaumian]
x3x3/2x3/2x5/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o3o3/2o3o5/3*b (µ=969) o3/2o3/2o3o5/3*b (µ=1191) o3/2o3o3/2o5/3*b (µ=1569) o3/2o3/2o3/2o5/2*b (µ=1809)
quasiregulars
x3o3/2o3o5/3*b - sidtixhi
o3x3/2o3o5/3*b - rissidtixhi
o3o3/2x3o5/3*b - (contains "2ike")
o3o3/2o3x5/3*b - dattady
x3/2o3/2o3o5/3*b - sidtixhi
o3/2x3/2o3o5/3*b - rissidtixhi
o3/2o3/2x3o5/3*b - (contains "2ike")
o3/2o3/2o3x5/3*b - dattady
x3/2o3o3/2o5/3*b - sidtixhi
o3/2x3o3/2o5/3*b - rissidtixhi
o3/2o3x3/2o5/3*b - (contains "2ike")
o3/2o3o3/2x5/3*b - dattady
x3/2o3/2o3/2o5/2*b - sidtixhi
o3/2x3/2o3/2o5/2*b - rissidtixhi
o3/2o3/2x3/2o5/2*b - (contains "2ike")
o3/2o3/2o3/2x5/2*b - dattady
other
Wythoffians
x3x3/2o3o5/3*b - tissidtixhi
x3o3/2x3o5/3*b - (contains "2ike")
x3o3/2o3x5/3*b - gadtef pixady
o3x3/2x3o5/3*b - [Grünbaumian]
o3x3/2o3x5/3*b - (contains "2geihid")
o3o3/2x3x5/3*b - shihix
x3x3/2x3o5/3*b - [Grünbaumian]
x3x3/2o3x5/3*b - (contains "2geihid")
x3o3/2x3x5/3*b - (contains "2thah")
o3x3/2x3x5/3*b - [Grünbaumian]
x3x3/2x3x5/3*b - [Grünbaumian]
x3/2x3/2o3o5/3*b - [Grünbaumian]
x3/2o3/2x3o5/3*b - (contains "2ike")
x3/2o3/2o3x5/3*b - (contains sicdatrid)
o3/2x3/2x3o5/3*b - [Grünbaumian]
o3/2x3/2o3x5/3*b - (contains "2geihid")
o3/2o3/2x3x5/3*b - shihix
x3/2x3/2x3o5/3*b - [Grünbaumian]
x3/2x3/2o3x5/3*b - [Grünbaumian]
x3/2o3/2x3x5/3*b - (contains sicdatrid)
o3/2x3/2x3x5/3*b - [Grünbaumian]
x3/2x3/2x3x5/3*b - [Grünbaumian]
x3/2x3o3/2o5/3*b - [Grünbaumian]
x3/2o3x3/2o5/3*b - (contains "2ike")
x3/2o3o3/2x5/3*b - (contains sicdatrid)
o3/2x3x3/2o5/3*b - swavixady
o3/2x3o3/2x5/3*b - (contains "2geihid")
o3/2o3x3/2x5/3*b - [Grünbaumian]
x3/2x3x3/2o5/3*b - [Grünbaumian]
x3/2x3o3/2x5/3*b - [Grünbaumian]
x3/2o3x3/2x5/3*b - [Grünbaumian]
o3/2x3x3/2x5/3*b - [Grünbaumian]
x3/2x3x3/2x5/3*b - [Grünbaumian]
x3/2x3/2o3/2o5/2*b - [Grünbaumian]
x3/2o3/2x3/2o5/2*b - (contains "2ike")
x3/2o3/2o3/2x5/2*b - gadtef pixady
o3/2x3/2x3/2o5/2*b - [Grünbaumian]
o3/2x3/2o3/2x5/2*b - [Grünbaumian]
o3/2o3/2x3/2x5/2*b - [Grünbaumian]
x3/2x3/2x3/2o5/2*b - [Grünbaumian]
x3/2x3/2o3/2x5/2*b - [Grünbaumian]
x3/2o3/2x3/2x5/2*b - [Grünbaumian]
o3/2x3/2x3/2x5/2*b - [Grünbaumian]
x3/2x3/2x3/2x5/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5o3/2*b   (up)

  o3o3o5o3/2*b (µ=218) o3o3o5/4o3*b (µ=382) o3/2o3o5o3/2*b (µ=502)
quasiregulars
x3o3o5o3/2*b - 2gax (?)
   (contains "2gike" as verf)
o3x3o5o3/2*b - (contains "2gike")
o3o3x5o3/2*b - gadtaxhi
o3o3o5x3/2*b - gadtaxhi
x3o3o5/4o3*b - 2gax (?)
   (contains "2gike" as verf)
o3x3o5/4o3*b - (contains "2gike")
o3o3x5/4o3*b - gadtaxhi
x3/2o3o5o3/2*b - 2gax (?)
   (contains "2gike" as verf)
o3/2x3o5o3/2*b - (contains "2gike")
o3/2o3x5o3/2*b - gadtaxhi
o3/2o3o5x3/2*b - gadtaxhi
other
Wythoffians
x3x3o5o3/2*b - (contains "2gike")
x3o3x5o3/2*b - getit phiddix
x3o3o5x3/2*b - (contains "2thah")
o3x3x5o3/2*b - rawvhiddix
o3x3o5x3/2*b - [Grünbaumian]
o3o3x5x3/2*b - (contains "2seihid")
x3x3x5o3/2*b - giphiddix
x3x3o5x3/2*b - [Grünbaumian]
x3o3x5x3/2*b - (contains "2seihid")
o3x3x5x3/2*b - [Grünbaumian]
x3x3x5x3/2*b - [Grünbaumian]
x3x3o5/4o3*b - (contains "2gike")
x3o3x5/4o3*b - getit phiddix
o3x3x5/4o3*b - rawvhiddix
o3o3x5/4x3*b - [Grünbaumian]
x3x3x5/4o3*b - giphiddix
x3o3x5/4x3*b - [Grünbaumian]
o3x3x5/4x3*b - [Grünbaumian]
x3x3x5/4x3*b - [Grünbaumian]
x3/2x3o5o3/2*b - [Grünbaumian]
x3/2o3x5o3/2*b - (contains "2thah")
x3/2o3o5x3/2*b - getit phiddix
o3/2x3x5o3/2*b - rawvhiddix
o3/2x3o5x3/2*b - [Grünbaumian]
o3/2o3x5x3/2*b - (contains "2seihid")
x3/2x3x5o3/2*b - [Grünbaumian]
x3/2x3o5x3/2*b - [Grünbaumian]
x3/2o3x5x3/2*b - (contains "2thah")
o3/2x3x5x3/2*b - [Grünbaumian]
x3/2x3x5x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o3/2o3o5/4o3*b (µ=1298) o3o3/2o5/4o3/2*b (µ=1582) o3/2o3/2o5/4o3/2*b (µ=2498)
quasiregulars
x3/2o3o5/4o3*b - 2gax (?)
   (contains "2gike" as verf)
o3/2x3o5/4o3*b - (contains "2gike")
o3/2o3x5/4o3*b - gadtaxhi
x3o3/2o5/4o3/2*b - 2gax (?)
   (contains "2gike" as verf)
o3x3/2o5/4o3/2*b - (contains "2gike")
o3o3/2x5/4o3/2*b - gadtaxhi
x3/2o3/2o5/4o3/2*b - 2gax (?)
   (contains "2gike" as verf)
o3/2x3/2o5/4o3/2*b - (contains "2gike")
o3/2o3/2x5/4o3/2*b - gadtaxhi
other
Wythoffians
x3/2x3o5/4o3*b - [Grünbaumian]
x3/2o3x5/4o3*b - (contains "2thah")
o3/2x3x5/4o3*b - rawvhiddix
o3/2o3x5/4x3*b - [Grünbaumian]
x3/2x3x5/4o3*b - [Grünbaumian]
x3/2o3x5/4x3*b - [Grünbaumian]
o3/2x3x5/4x3*b - [Grünbaumian]
x3/2x3x5/4x3*b - [Grünbaumian]
x3x3/2o5/4o3/2*b - (contains "2gike")
x3o3/2x5/4o3/2*b - (contains "2thah")
o3x3/2x5/4o3/2*b - [Grünbaumian]
o3o3/2x5/4x3/2*b - [Grünbaumian]
x3x3/2x5/4o3/2*b - [Grünbaumian]
x3o3/2x5/4x3/2*b - [Grünbaumian]
o3x3/2x5/4x3/2*b - [Grünbaumian]
x3x3/2x5/4x3/2*b - [Grünbaumian]
x3/2x3/2o5/4o3/2*b - [Grünbaumian]
x3/2o3/2x5/4o3/2*b - getit phiddix
o3/2x3/2x5/4o3/2*b - [Grünbaumian]
o3/2o3/2x5/4x3/2*b - [Grünbaumian]
x3/2x3/2x5/4o3/2*b - [Grünbaumian]
x3/2o3/2x5/4x3/2*b - [Grünbaumian]
o3/2x3/2x5/4x3/2*b - [Grünbaumian]
x3/2x3/2x5/4x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5/2o3*b   (up)

  o3o3o5/2o3*b (µ=2) o3/2o3o5/2o3*b (µ=238) o3o3o5/3o3/2*b (µ=598)
quasiregulars
x3o3o5/2o3*b - 2ex (?)
   (contains "2ike" as verf)
o3x3o5/2o3*b - (contains "2ike")
o3o3x5/2o3*b - sidtaxhi
x3/2o3o5/2o3*b - 2ex (?)
   (contains "2ike" as verf)
o3/2x3o5/2o3*b - (contains "2ike")
o3/2o3x5/2o3*b - sidtaxhi
x3o3o5/3o3/2*b - 2ex (?)
   (contains "2ike" as verf)
o3x3o5/3o3/2*b - (contains "2ike")
o3o3x5/3o3/2*b - sidtaxhi
o3o3o5/3x3/2*b - sidtaxhi
other
Wythoffians
x3x3o5/2o3*b - (contains "2ike")
x3o3x5/2o3*b - stut phiddix
o3x3x5/2o3*b - wavhiddix
o3o3x5/2x3*b - [Grünbaumian]
x3x3x5/2o3*b - sphiddix
x3o3x5/2x3*b - [Grünbaumian]
o3x3x5/2x3*b - [Grünbaumian]
x3x3x5/2x3*b - [Grünbaumian]
x3/2x3o5/2o3*b - [Grünbaumian]
x3/2o3x5/2o3*b - (contains "2thah")
o3/2x3x5/2o3*b - wavhiddix
o3/2o3x5/2x3*b - [Grünbaumian]
x3/2x3x5/2o3*b - [Grünbaumian]
x3/2o3x5/2x3*b - [Grünbaumian]
o3/2x3x5/2x3*b - [Grünbaumian]
x3/2x3x5/2x3*b - [Grünbaumian]
x3x3o5/3o3/2*b - (contains "2ike")
x3o3x5/3o3/2*b - stut phiddix
x3o3o5/3x3/2*b - (contains "2thah")
o3x3x5/3o3/2*b - wavhiddix
o3x3o5/3x3/2*b - [Grünbaumian]
o3o3x5/3x3/2*b - (contains "2geihid")
x3x3x5/3o3/2*b - sphiddix
x3x3o5/3x3/2*b - [Grünbaumian]
x3o3x5/3x3/2*b - (contains "2thah")
o3x3x5/3x3/2*b - [Grünbaumian]
x3x3x5/3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o3o3/2o5/2o3/2*b (µ=1202) o3/2o3/2o5/2o3/2*b (µ=1438) o3/2o3o5/3o3/2*b (µ=1562)
quasiregulars
x3o3/2o5/2o3/2*b - 2ex (?)
   (contains "2ike" as verf)
o3x3/2o5/2o3/2*b - (contains "2ike")
o3o3/2x5/2o3/2*b - sidtaxhi
x3/2o3/2o5/2o3/2*b - 2ex (?)
   (contains "2ike" as verf)
o3/2x3/2o5/2o3/2*b - (contains "2ike")
o3/2o3/2x5/2o3/2*b - sidtaxhi
x3/2o3o5/3o3/2*b - 2ex (?)
   (contains "2ike" as verf)
o3/2x3o5/3o3/2*b - (contains "2ike")
o3/2o3x5/3o3/2*b - sidtaxhi
o3/2o3o5/3x3/2*b - sidtaxhi
other
Wythoffians
x3x3/2o5/2o3/2*b - (contains "2ike")
x3o3/2x5/2o3/2*b - (contains "2thah")
o3x3/2x5/2o3/2*b - [Grünbaumian]
o3o3/2x5/2x3/2*b - [Grünbaumian]
x3x3/2x5/2o3/2*b - [Grünbaumian]
x3o3/2x5/2x3/2*b - [Grünbaumian]
o3x3/2x5/2x3/2*b - [Grünbaumian]
x3x3/2x5/2x3/2*b - [Grünbaumian]
x3/2x3/2o5/2o3/2*b - [Grünbaumian]
x3/2o3/2x5/2o3/2*b - stut phiddix
o3/2x3/2x5/2o3/2*b - [Grünbaumian]
o3/2o3/2x5/2x3/2*b - [Grünbaumian]
x3/2x3/2x5/2o3/2*b - [Grünbaumian]
x3/2o3/2x5/2x3/2*b - [Grünbaumian]
o3/2x3/2x5/2x3/2*b - [Grünbaumian]
x3/2x3/2x5/2x3/2*b - [Grünbaumian]
x3/2x3o5/3o3/2*b - [Grünbaumian]
x3/2o3x5/3o3/2*b - (contains "2thah")
x3/2o3o5/3x3/2*b - stut phiddix
o3/2x3x5/3o3/2*b - wavhiddix
o3/2x3o5/3x3/2*b - [Grünbaumian]
o3/2o3x5/3x3/2*b - (contains "2geihid")
x3/2x3x5/3o3/2*b - [Grünbaumian]
x3/2x3o5/3x3/2*b - [Grünbaumian]
x3/2o3x5/3x3/2*b - (contains "2thah")
o3/2x3x5/3x3/2*b - [Grünbaumian]
x3/2x3x5/3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o3/2o5o5*b   (up)

  o3o3/2o5o5*b (µ=3) o3o3o5/4o5*b (µ=117) o3/2o3/2o5o5*b (µ=237) o3o3o5o5/4*b (µ=483)
quasiregulars
x3o3/2o5o5*b - ex+fix (?)
   (contains cid as verf)
o3x3/2o5o5*b - (contains cid)
o3o3/2x5o5*b - (contains cid)
o3o3/2o5x5*b - (contains "2doe")
x3o3o5/4o5*b - ex+fix (?)
   (contains cid as verf)
o3x3o5/4o5*b - (contains cid)
o3o3x5/4o5*b - (contains cid)
o3o3o5/4x5*b - (contains "2doe")
x3/2o3/2o5o5*b - ex+fix (?)
   (contains cid as verf)
o3/2x3/2o5o5*b - (contains cid)
o3/2o3/2x5o5*b - (contains cid)
o3/2o3/2o5x5*b - (contains "2doe")
x3o3o5o5/4*b - ex+fix (?)
   (contains cid as verf)
o3x3o5o5/4*b - (contains cid)
o3o3x5o5/4*b - (contains cid)
o3o3o5x5/4*b - (contains "2doe")
other
Wythoffians
x3x3/2o5o5*b - (contains cid)
x3o3/2x5o5*b - (contains cid)
x3o3/2o5x5*b - (contains "2doe")
o3x3/2x5o5*b - [Grünbaumian]
o3x3/2o5x5*b - srawvixady
o3o3/2x5x5*b - sixhihy
x3x3/2x5o5*b - [Grünbaumian]
x3x3/2o5x5*b - spixady
x3o3/2x5x5*b - (contains "2thah")
o3x3/2x5x5*b - [Grünbaumian]
x3x3/2x5x5*b - [Grünbaumian]
x3x3o5/4o5*b - (contains cid)
x3o3x5/4o5*b - (contains cid)
x3o3o5/4x5*b - (contains "2doe")
o3x3x5/4o5*b - (contains "2gidhei")
o3x3o5/4x5*b - srawvixady
o3o3x5/4x5*b - [Grünbaumian]
x3x3x5/4o5*b - (contains "2gidhei")
x3x3o5/4x5*b - spixady
x3o3x5/4x5*b - [Grünbaumian]
o3x3x5/4x5*b - [Grünbaumian]
x3x3x5/4x5*b - [Grünbaumian]
x3/2x3/2o5o5*b - [Grünbaumian]
x3/2o3/2x5o5*b - (contains cid)
x3/2o3/2o5x5*b - (contains "2doe")
o3/2x3/2x5o5*b - [Grünbaumian]
o3/2x3/2o5x5*b - srawvixady
o3/2o3/2x5x5*b - sixhihy
x3/2x3/2x5o5*b - [Grünbaumian]
x3/2x3/2o5x5*b - [Grünbaumian]
x3/2o3/2x5x5*b - (contains gicdatrid)
o3/2x3/2x5x5*b - [Grünbaumian]
x3/2x3/2x5x5*b - [Grünbaumian]
x3x3o5o5/4*b - (contains cid)
x3o3x5o5/4*b - (contains cid)
x3o3o5x5/4*b - (contains "2doe")
o3x3x5o5/4*b - (contains "2gidhei")
o3x3o5x5/4*b - [Grünbaumian]
o3o3x5x5/4*b - sixhihy
x3x3x5o5/4*b - (contains "2gidhei")
x3x3o5x5/4*b - [Grünbaumian]
x3o3x5x5/4*b - (contains gicdatrid)
o3x3x5x5/4*b - [Grünbaumian]
x3x3x5x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o3/2o3o5o5/4*b (µ=717) o3/2o3o5/4o5*b (µ=1083) o3o3/2o5/4o5/4*b (µ=1797) o3/2o3/2o5/4o5/4*b (µ=2763)
quasiregulars
x3/2o3o5o5/4*b - ex+fix (?)
   (contains cid as verf)
o3/2x3o5o5/4*b - (contains cid)
o3/2o3x5o5/4*b - (contains cid)
o3/2o3o5x5/4*b - (contains "2doe")
x3/2o3o5/4o5*b - ex+fix (?)
   (contains cid as verf)
o3/2x3o5/4o5*b - (contains cid)
o3/2o3x5/4o5*b - (contains cid)
o3/2o3o5/4x5*b - (contains "2doe")
x3o3/2o5/4o5/4*b - ex+fix (?)
   (contains cid as verf)
o3x3/2o5/4o5/4*b - (contains cid)
o3o3/2x5/4o5/4*b - (contains cid)
o3o3/2o5/4x5/4*b - (contains "2doe")
x3/2o3/2o5/4o5/4*b - ex+fix (?)
   (contains cid as verf)
o3/2x3/2o5/4o5/4*b - (contains cid)
o3/2o3/2x5/4o5/4*b - (contains cid)
o3/2o3/2o5/4x5/4*b - (contains "2doe")
other
Wythoffians
x3/2x3o5o5/4*b - [Grünbaumian]
x3/2o3x5o5/4*b - (contains cid)
x3/2o3o5x5/4*b - (contains "2doe")
o3/2x3x5o5/4*b - (contains "2gidhei")
o3/2x3o5x5/4*b - [Grünbaumian]
o3/2o3x5x5/4*b - sixhihy
x3/2x3x5o5/4*b - [Grünbaumian]
x3/2x3o5x5/4*b - [Grünbaumian]
x3/2o3x5x5/4*b - (contains "2thah")
o3/2x3x5x5/4*b - [Grünbaumian]
x3/2x3x5x5/4*b - [Grünbaumian]
x3/2x3o5/4o5*b - [Grünbaumian]
x3/2o3x5/4o5*b - (contains cid)
x3/2o3o5/4x5*b - (contains "2doe")
o3/2x3x5/4o5*b - (contains "2gidhei")
o3/2x3o5/4x5*b - srawvixady
o3/2o3x5/4x5*b - [Grünbaumian]
x3/2x3x5/4o5*b - [Grünbaumian]
x3/2x3o5/4x5*b - [Grünbaumian]
x3/2o3x5/4x5*b - [Grünbaumian]
o3/2x3x5/4x5*b - [Grünbaumian]
x3/2x3x5/4x5*b - [Grünbaumian]
x3x3/2o5/4o5/4*b - (contains cid)
x3o3/2x5/4o5/4*b - (contains cid)
x3o3/2o5/4x5/4*b - (contains "2doe")
o3x3/2x5/4o5/4*b - [Grünbaumian]
o3x3/2o5/4x5/4*b - [Grünbaumian]
o3o3/2x5/4x5/4*b - [Grünbaumian]
x3x3/2x5/4o5/4*b - [Grünbaumian]
x3x3/2o5/4x5/4*b - [Grünbaumian]
x3o3/2x5/4x5/4*b - [Grünbaumian]
o3x3/2x5/4x5/4*b - [Grünbaumian]
x3x3/2x5/4x5/4*b - [Grünbaumian]
x3/2x3/2o5/4o5/4*b - [Grünbaumian]
x3/2o3/2x5/4o5/4*b - (contains cid)
x3/2o3/2o5/4x5/4*b - (contains "2doe")
o3/2x3/2x5/4o5/4*b - [Grünbaumian]
o3/2x3/2o5/4x5/4*b - [Grünbaumian]
o3/2o3/2x5/4x5/4*b - [Grünbaumian]
x3/2x3/2x5/4o5/4*b - [Grünbaumian]
x3/2x3/2o5/4x5/4*b - [Grünbaumian]
x3/2o3/2x5/4x5/4*b - [Grünbaumian]
o3/2x3/2x5/4x5/4*b - [Grünbaumian]
x3/2x3/2x5/4x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5/3o5/2*b   (up)

  o3o3o5/3o5/2*b (µ=267) o3o3o5/2o5/3*b (µ=333) o3o3/2o5/2o5/2*b (µ=573) o3/2o3o5/2o5/3*b (µ=867)
quasiregulars
x3o3o5/3o5/2*b - gax+gofix (?)
   (contains gacid as verf)
o3x3o5/3o5/2*b - (contains gacid)
o3o3x5/3o5/2*b - (contains gacid)
o3o3o5/3x5/2*b - (contains "2gissid")
x3o3o5/2o5/3*b - gax+gofix (?)
   (contains gacid as verf)
o3x3o5/2o5/3*b - (contains gacid)
o3o3x5/2o5/3*b - (contains gacid)
o3o3o5/2x5/3*b - (contains "2gissid")
x3o3/2o5/2o5/2*b - gax+gofix (?)
   (contains gacid as verf)
o3x3/2o5/2o5/2*b - (contains gacid)
o3o3/2x5/2o5/2*b - (contains gacid)
o3o3/2o5/2x5/2*b - (contains "2gissid")
x3/2o3o5/2o5/3*b - gax+gofix (?)
   (contains gacid as verf)
o3/2x3o5/2o5/3*b - (contains gacid)
o3/2o3x5/2o5/3*b - (contains gacid)
o3/2o3o5/2x5/3*b - (contains "2gissid")
other
Wythoffians
x3x3o5/3o5/2*b - (contains gacid)
x3o3x5/3o5/2*b - (contains gacid)
x3o3o5/3x5/2*b - (contains "2gissid")
o3x3x5/3o5/2*b - (contains "2sidhei")
o3x3o5/3x5/2*b - [Grünbaumian]
o3o3x5/3x5/2*b - gixhihy
x3x3x5/3o5/2*b - (contains "2sidhei")
x3x3o5/3x5/2*b - [Grünbaumian]
x3o3x5/3x5/2*b - (contains sicdatrid)
o3x3x5/3x5/2*b - [Grünbaumian]
x3x3x5/3x5/2*b - [Grünbaumian]
x3x3o5/2o5/3*b - (contains gacid)
x3o3x5/2o5/3*b - (contains gacid)
x3o3o5/2x5/3*b - (contains "2gissid")
o3x3x5/2o5/3*b - (contains "2sidhei")
o3x3o5/2x5/3*b - gwavixady
o3o3x5/2x5/3*b - [Grünbaumian]
x3x3x5/2o5/3*b - (contains "2sidhei")
x3x3o5/2x5/3*b - gippixady
x3o3x5/2x5/3*b - [Grünbaumian]
o3x3x5/2x5/3*b - [Grünbaumian]
x3x3x5/2x5/3*b - [Grünbaumian]
x3x3/2o5/2o5/2*b - (contains gacid)
x3o3/2x5/2o5/2*b - (contains gacid)
x3o3/2o5/2x5/2*b - (contains "2gissid")
o3x3/2x5/2o5/2*b - [Grünbaumian]
o3x3/2o5/2x5/2*b - [Grünbaumian]
o3o3/2x5/2x5/2*b - [Grünbaumian]
x3x3/2x5/2o5/2*b - [Grünbaumian]
x3x3/2o5/2x5/2*b - [Grünbaumian]
x3o3/2x5/2x5/2*b - [Grünbaumian]
o3x3/2x5/2x5/2*b - [Grünbaumian]
x3x3/2x5/2x5/2*b - [Grünbaumian]
x3/2x3o5/2o5/3*b - [Grünbaumian]
x3/2o3x5/2o5/3*b - (contains gacid)
x3/2o3o5/2x5/3*b - (contains "2gissid")
o3/2x3x5/2o5/3*b - (contains "2sidhei")
o3/2x3o5/2x5/3*b - gwavixady
o3/2o3x5/2x5/3*b - [Grünbaumian]
x3/2x3x5/2o5/3*b - [Grünbaumian]
x3/2x3o5/2x5/3*b - [Grünbaumian]
x3/2o3x5/2x5/3*b - [Grünbaumian]
o3/2x3x5/2x5/3*b - [Grünbaumian]
x3/2x3x5/2x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o3/2o3o5/3o5/2*b (µ=933) o3/2o3/2o5/2o5/2*b (µ=1107) o3o3/2o5/3o5/3*b (µ=1227) o3/2o3/2o5/3o5/3*b (µ=1893)
quasiregulars
x3/2o3o5/3o5/2*b - gax+gofix (?)
   (contains gacid as verf)
o3/2x3o5/3o5/2*b - (contains gacid)
o3/2o3x5/3o5/2*b - (contains gacid)
o3/2o3o5/3x5/2*b - (contains "2gissid")
x3/2o3/2o5/2o5/2*b - gax+gofix (?)
   (contains gacid as verf)
o3/2x3/2o5/2o5/2*b - (contains gacid)
o3/2o3/2x5/2o5/2*b - (contains gacid)
o3/2o3/2o5/2x5/2*b - (contains "2gissid")
x3o3/2o5/3o5/3*b - gax+gofix (?)
   (contains gacid as verf)
o3x3/2o5/3o5/3*b - (contains gacid)
o3o3/2x5/3o5/3*b - (contains gacid)
o3o3/2o5/3x5/3*b - (contains "2gissid")
x3/2o3/2o5/3o5/3*b - gax+gofix (?)
   (contains gacid as verf)
o3/2x3/2o5/3o5/3*b - (contains gacid)
o3/2o3/2x5/3o5/3*b - (contains gacid)
o3/2o3/2o5/3x5/3*b - (contains "2gissid")
other
Wythoffians
x3/2x3o5/3o5/2*b - [Grünbaumian]
x3/2o3x5/3o5/2*b - (contains gacid)
x3/2o3o5/3x5/2*b - (contains "2gissid")
o3/2x3x5/3o5/2*b - (contains "2sidhei")
o3/2x3o5/3x5/2*b - [Grünbaumian]
o3/2o3x5/3x5/2*b - gixhihy
x3/2x3x5/3o5/2*b - [Grünbaumian]
x3/2x3o5/3x5/2*b - [Grünbaumian]
x3/2o3x5/3x5/2*b - (contains "2thah")
o3/2x3x5/3x5/2*b - [Grünbaumian]
x3/2x3x5/3x5/2*b - [Grünbaumian]
x3/2x3/2o5/2o5/2*b - [Grünbaumian]
x3/2o3/2x5/2o5/2*b - (contains gacid)
x3/2o3/2o5/2x5/2*b - (contains "2gissid")
o3/2x3/2x5/2o5/2*b - [Grünbaumian]
o3/2x3/2o5/2x5/2*b - [Grünbaumian]
o3/2o3/2x5/2x5/2*b - [Grünbaumian]
x3/2x3/2x5/2o5/2*b - [Grünbaumian]
x3/2x3/2o5/2x5/2*b - [Grünbaumian]
x3/2o3/2x5/2x5/2*b - [Grünbaumian]
o3/2x3/2x5/2x5/2*b - [Grünbaumian]
x3/2x3/2x5/2x5/2*b - [Grünbaumian]
x3x3/2o5/3o5/3*b - (contains gacid)
x3o3/2x5/3o5/3*b - (contains gacid)
x3o3/2o5/3x5/3*b - (contains "2gissid")
o3x3/2x5/3o5/3*b - [Grünbaumian]
o3x3/2o5/3x5/3*b - gwavixady
o3o3/2x5/3x5/3*b - gixhihy
x3x3/2x5/3o5/3*b - [Grünbaumian]
x3x3/2o5/3x5/3*b - gippixady
x3o3/2x5/3x5/3*b - (contains "2thah")
o3x3/2x5/3x5/3*b - [Grünbaumian]
x3x3/2x5/3x5/3*b - [Grünbaumian]
x3/2x3/2o5/3o5/3*b - [Grünbaumian]
x3/2o3/2x5/3o5/3*b - (contains gacid)
x3/2o3/2o5/3x5/3*b - (contains "2gissid")
o3/2x3/2x5/3o5/3*b - [Grünbaumian]
o3/2x3/2o5/3x5/3*b - gwavixady
o3/2o3/2x5/3x5/3*b - gixhihy
x3/2x3/2x5/3o5/3*b - [Grünbaumian]
x3/2x3/2o5/3x5/3*b - [Grünbaumian]
x3/2o3/2x5/3x5/3*b - (contains sicdatrid)
o3/2x3/2x5/3x5/3*b - [Grünbaumian]
x3/2x3/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5o5/3*b   (up)

  o3o3o5o5/3*b (µ=115) o3o3/2o5o5/2*b (µ=355) o3/2o3o5o5/3*b (µ=365) o3o3o5/4o5/2*b (µ=485)
quasiregulars
x3o3o5o5/3*b - gax+gofix (?)
   (contains gacid as verf)
o3x3o5o5/3*b - (contains gacid)
o3o3x5o5/3*b - (contains cid)
o3o3o5x5/3*b - gadatady
x3o3/2o5o5/2*b - gax+gofix (?)
   (contains gacid as verf)
o3x3/2o5o5/2*b - (contains gacid)
o3o3/2x5o5/2*b - (contains cid)
o3o3/2o5x5/2*b - gadatady
x3/2o3o5o5/3*b - gax+gofix (?)
   (contains gacid as verf)
o3/2x3o5o5/3*b - (contains gacid)
o3/2o3x5o5/3*b - (contains cid)
o3/2o3o5x5/3*b - gadatady
x3o3o5/4o5/2*b - gax+gofix (?)
   (contains gacid as verf)
o3x3o5/4o5/2*b - (contains gacid)
o3o3x5/4o5/2*b - (contains cid)
o3o3o5/4x5/2*b - gadatady
other
Wythoffians
x3x3o5o5/3*b - (contains gacid)
x3o3x5o5/3*b - (contains cid)
x3o3o5x5/3*b - getit pixady
o3x3x5o5/3*b - grawv hixhi
o3x3o5x5/3*b - wavdatixady
o3o3x5x5/3*b - sidthixhi
x3x3x5o5/3*b - giphihix
x3x3o5x5/3*b - gixipady
x3o3x5x5/3*b - gikkiv datapixady
o3x3x5x5/3*b - hixquathix
x3x3x5x5/3*b - hixquitphix
x3x3/2o5o5/2*b - (contains gacid)
x3o3/2x5o5/2*b - (contains cid)
x3o3/2o5x5/2*b - (contains sicdatrid)
o3x3/2x5o5/2*b - [Grünbaumian]
o3x3/2o5x5/2*b - [Grünbaumian]
o3o3/2x5x5/2*b - sidthixhi
x3x3/2x5o5/2*b - [Grünbaumian]
x3x3/2o5x5/2*b - [Grünbaumian]
x3o3/2x5x5/2*b - (contains "2thah")
o3x3/2x5x5/2*b - [Grünbaumian]
x3x3/2x5x5/2*b - [Grünbaumian]
x3/2x3o5o5/3*b - [Grünbaumian]
x3/2o3x5o5/3*b - (contains cid)
x3/2o3o5x5/3*b - (contains sicdatrid)
o3/2x3x5o5/3*b - grawv hixhi
o3/2x3o5x5/3*b - wavdatixady
o3/2o3x5x5/3*b - sidthixhi
x3/2x3x5o5/3*b - [Grünbaumian]
x3/2x3o5x5/3*b - [Grünbaumian]
x3/2o3x5x5/3*b - (contains "2thah")
o3/2x3x5x5/3*b - hixquathix
x3/2x3x5x5/3*b - [Grünbaumian]
x3x3o5/4o5/2*b - (contains gacid)
x3o3x5/4o5/2*b - (contains cid)
x3o3o5/4x5/2*b - (contains sicdatrid)
o3x3x5/4o5/2*b - grawv hixhi
o3x3o5/4x5/2*b - [Grünbaumian]
o3o3x5/4x5/2*b - [Grünbaumian]
x3x3x5/4o5/2*b - giphihix
x3x3o5/4x5/2*b - [Grünbaumian]
x3o3x5/4x5/2*b - [Grünbaumian]
o3x3x5/4x5/2*b - [Grünbaumian]
x3x3x5/4x5/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o3/2o3/2o5o5/2*b (µ=605) o3/2o3o5/4o5/2*b (µ=1435) o3o3/2o5/4o5/3*b (µ=1445) o3/2o3/2o5/4o5/3*b (µ=2395)
quasiregulars
x3/2o3/2o5o5/2*b - gax+gofix (?)
   (contains gacid as verf)
o3/2x3/2o5o5/2*b - (contains gacid)
o3/2o3/2x5o5/2*b - (contains cid)
o3/2o3/2o5x5/2*b - gadatady
x3/2o3o5/4o5/2*b - gax+gofix (?)
   (contains gacid as verf)
o3/2x3o5/4o5/2*b - (contains gacid)
o3/2o3x5/4o5/2*b - (contains cid)
o3/2o3o5/4x5/2*b - gadatady
x3o3/2o5/4o5/3*b - gax+gofix (?)
   (contains gacid as verf)
o3x3/2o5/4o5/3*b - (contains gacid)
o3o3/2x5/4o5/3*b - (contains cid)
o3o3/2o5/4x5/3*b - gadatady
x3/2o3/2o5/4o5/3*b - gax+gofix (?)
   (contains gacid as verf)
o3/2x3/2o5/4o5/3*b - (contains gacid)
o3/2o3/2x5/4o5/3*b - (contains cid)
o3/2o3/2o5/4x5/3*b - gadatady
other
Wythoffians
x3/2x3/2o5o5/2*b - [Grünbaumian]
x3/2o3/2x5o5/2*b - (contains cid)
x3/2o3/2o5x5/2*b - getit pixady
o3/2x3/2x5o5/2*b - [Grünbaumian]
o3/2x3/2o5x5/2*b - [Grünbaumian]
o3/2o3/2x5x5/2*b - sidthixhi
x3/2x3/2x5o5/2*b - [Grünbaumian]
x3/2x3/2o5x5/2*b - [Grünbaumian]
x3/2o3/2x5x5/2*b - gikkiv datapixady
o3/2x3/2x5x5/2*b - [Grünbaumian]
x3/2x3/2x5x5/2*b - [Grünbaumian]
x3/2x3o5/4o5/2*b - [Grünbaumian]
x3/2o3x5/4o5/2*b - (contains cid)
x3/2o3o5/4x5/2*b - getit pixady
o3/2x3x5/4o5/2*b - grawv hixhi
o3/2x3o5/4x5/2*b - [Grünbaumian]
o3/2o3x5/4x5/2*b - [Grünbaumian]
x3/2x3x5/4o5/2*b - [Grünbaumian]
x3/2x3o5/4x5/2*b - [Grünbaumian]
x3/2o3x5/4x5/2*b - [Grünbaumian]
o3/2x3x5/4x5/2*b - [Grünbaumian]
x3/2x3x5/4x5/2*b - [Grünbaumian]
x3x3/2o5/4o5/3*b - (contains gacid)
x3o3/2x5/4o5/3*b - (contains cid)
x3o3/2o5/4x5/3*b - getit pixady
o3x3/2x5/4o5/3*b - [Grünbaumian]
o3x3/2o5/4x5/3*b - wavdatixady
o3o3/2x5/4x5/3*b - [Grünbaumian]
x3x3/2x5/4o5/3*b - [Grünbaumian]
x3x3/2o5/4x5/3*b - gixipady
x3o3/2x5/4x5/3*b - [Grünbaumian]
o3x3/2x5/4x5/3*b - [Grünbaumian]
x3x3/2x5/4x5/3*b - [Grünbaumian]
x3/2x3/2o5/4o5/3*b - [Grünbaumian]
x3/2o3/2x5/4o5/3*b - (contains cid)
x3/2o3/2o5/4x5/3*b - (contains sicdatrid)
o3/2x3/2x5/4o5/3*b - [Grünbaumian]
o3/2x3/2o5/4x5/3*b - wavdatixady
o3/2o3/2x5/4x5/3*b - [Grünbaumian]
x3/2x3/2x5/4o5/3*b - [Grünbaumian]
x3/2x3/2o5/4x5/3*b - [Grünbaumian]
x3/2o3/2x5/4x5/3*b - [Grünbaumian]
o3/2x3/2x5/4x5/3*b - [Grünbaumian]
x3/2x3/2x5/4x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5/3o5*b   (up)

  o3o3o5/3o5*b (µ=5) o3o3/2o5/2o5*b (µ=115) o3/2o3o5/3o5*b (µ=475) o3o3o5/2o5/4*b (µ=595)
quasiregulars
x3o3o5/3o5*b - ex+fix (?)
   (contains cid as verf)
o3x3o5/3o5*b - (contains cid)
o3o3x5/3o5*b - (contains gacid)
o3o3o5/3x5*b - siddatady
x3o3/2o5/2o5*b - ex+fix (?)
   (contains cid as verf)
o3x3/2o5/2o5*b - (contains cid)
o3o3/2x5/2o5*b - (contains gacid)
o3o3/2o5/2x5*b - siddatady
x3/2o3o5/3o5*b - ex+fix (?)
   (contains cid as verf)
o3/2x3o5/3o5*b - (contains cid)
o3/2o3x5/3o5*b - (contains gacid)
o3/2o3o5/3x5*b - siddatady
x3o3o5/2o5/4*b - ex+fix (?)
   (contains cid as verf)
o3x3o5/2o5/4*b - (contains cid)
o3o3x5/2o5/4*b - (contains gacid)
o3o3o5/2x5/4*b - siddatady
other
Wythoffians
x3x3o5/3o5*b - (contains cid)
x3o3x5/3o5*b - (contains gacid)
x3o3o5/3x5*b - stut pixady
o3x3x5/3o5*b - mrawv hixhi
o3x3o5/3x5*b - rawvid tixady
o3o3x5/3x5*b - gidthixhi
x3x3x5/3o5*b - sphihix
x3x3o5/3x5*b - sixipady
x3o3x5/3x5*b - skiv datapixady
o3x3x5/3x5*b - hixthix
x3x3x5/3x5*b - hixtaphix
x3x3/2o5/2o5*b - (contains cid)
x3o3/2x5/2o5*b - (contains gacid)
x3o3/2o5/2x5*b - stut pixady
o3x3/2x5/2o5*b - [Grünbaumian]
o3x3/2o5/2x5*b - rawvid tixady
o3o3/2x5/2x5*b - [Grünbaumian]
x3x3/2x5/2o5*b - [Grünbaumian]
x3x3/2o5/2x5*b - sixipady
x3o3/2x5/2x5*b - [Grünbaumian]
o3x3/2x5/2x5*b - [Grünbaumian]
x3x3/2x5/2x5*b - [Grünbaumian]
x3/2x3o5/3o5*b - [Grünbaumian]
x3/2o3x5/3o5*b - (contains gacid)
x3/2o3o5/3x5*b - (contains gicdatrid)
o3/2x3x5/3o5*b - mrawv hixhi
o3/2x3o5/3x5*b - rawvid tixady
o3/2o3x5/3x5*b - gidthixhi
x3/2x3x5/3o5*b - [Grünbaumian]
x3/2x3o5/3x5*b - [Grünbaumian]
x3/2o3x5/3x5*b - (contains "2thah")
o3/2x3x5/3x5*b - hixthix
x3/2x3x5/3x5*b - [Grünbaumian]
x3x3o5/2o5/4*b - (contains cid)
x3o3x5/2o5/4*b - (contains gacid)
x3o3o5/2x5/4*b - (contains gicdatrid)
o3x3x5/2o5/4*b - mrawv hixhi
o3x3o5/2x5/4*b - [Grünbaumian]
o3o3x5/2x5/4*b - [Grünbaumian]
x3x3x5/2o5/4*b - sphihix
x3x3o5/2x5/4*b - [Grünbaumian]
x3o3x5/2x5/4*b - [Grünbaumian]
o3x3x5/2x5/4*b - [Grünbaumian]
x3x3x5/2x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o3/2o3/2o5/2o5*b (µ=845) o3/2o3o5/2o5/4*b (µ=1325) o3o3/2o5/3o5/4*b (µ=1685) o3/2o3/2o5/3o5/4*b (µ=2155)
quasiregulars
x3/2o3/2o5/2o5*b - ex+fix (?)
   (contains cid as verf)
o3/2x3/2o5/2o5*b - (contains cid)
o3/2o3/2x5/2o5*b - (contains gacid)
o3/2o3/2o5/2x5*b - siddatady
x3/2o3o5/2o5/4*b - ex+fix (?)
   (contains cid as verf)
o3/2x3o5/2o5/4*b - (contains cid)
o3/2o3x5/2o5/4*b - (contains gacid)
o3/2o3o5/2x5/4*b - siddatady
x3o3/2o5/3o5/4*b - ex+fix (?)
   (contains cid as verf)
o3x3/2o5/3o5/4*b - (contains cid)
o3o3/2x5/3o5/4*b - (contains gacid)
o3o3/2o5/3x5/4*b - siddatady
x3/2o3/2o5/3o5/4*b - ex+fix (?)
   (contains cid as verf)
o3/2x3/2o5/3o5/4*b - (contains cid)
o3/2o3/2x5/3o5/4*b - (contains gacid)
o3/2o3/2o5/3x5/4*b - siddatady
other
Wythoffians
x3/2x3/2o5/2o5*b - [Grünbaumian]
x3/2o3/2x5/2o5*b - (contains gacid)
x3/2o3/2o5/2x5*b - (contains gicdatrid)
o3/2x3/2x5/2o5*b - [Grünbaumian]
o3/2x3/2o5/2x5*b - rawvid tixady
o3/2o3/2x5/2x5*b - [Grünbaumian]
x3/2x3/2x5/2o5*b - [Grünbaumian]
x3/2x3/2o5/2x5*b - [Grünbaumian]
x3/2o3/2x5/2x5*b - [Grünbaumian]
o3/2x3/2x5/2x5*b - [Grünbaumian]
x3/2x3/2x5/2x5*b - [Grünbaumian]
x3/2x3o5/2o5/4*b - [Grünbaumian]
x3/2o3x5/2o5/4*b - (contains gacid)
x3/2o3o5/2x5/4*b - stut pixady
o3/2x3x5/2o5/4*b - mrawv hixhi
o3/2x3o5/2x5/4*b - [Grünbaumian]
o3/2o3x5/2x5/4*b - [Grünbaumian]
x3/2x3x5/2o5/4*b - [Grünbaumian]
x3/2x3o5/2x5/4*b - [Grünbaumian]
x3/2o3x5/2x5/4*b - [Grünbaumian]
o3/2x3x5/2x5/4*b - [Grünbaumian]
x3/2x3x5/2x5/4*b - [Grünbaumian]
x3x3/2o5/3o5/4*b - (contains cid)
x3o3/2x5/3o5/4*b - (contains gacid)
x3o3/2o5/3x5/4*b - (contains gicdatrid)
o3x3/2x5/3o5/4*b - [Grünbaumian]
o3x3/2o5/3x5/4*b - [Grünbaumian]
o3o3/2x5/3x5/4*b - gidthixhi
x3x3/2x5/3o5/4*b - [Grünbaumian]
x3x3/2o5/3x5/4*b - [Grünbaumian]
x3o3/2x5/3x5/4*b - (contains "2thah")
o3x3/2x5/3x5/4*b - [Grünbaumian]
x3x3/2x5/3x5/4*b - [Grünbaumian]
x3/2x3/2o5/3o5/4*b - [Grünbaumian]
x3/2o3/2x5/3o5/4*b - (contains gacid)
x3/2o3/2o5/3x5/4*b - stut pixady
o3/2x3/2x5/3o5/4*b - [Grünbaumian]
o3/2x3/2o5/3x5/4*b - [Grünbaumian]
o3/2o3/2x5/3x5/4*b - gidthixhi
x3/2x3/2x5/3o5/4*b - [Grünbaumian]
x3/2x3/2o5/3x5/4*b - [Grünbaumian]
x3/2o3/2x5/3x5/4*b - skiv datapixady
o3/2x3/2x5/3x5/4*b - [Grünbaumian]
x3/2x3/2x5/3x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o5o3o5/3*b   (up)

  o3o5o3o5/3*b (µ=30) o3o5o3/2o5/2*b (µ=90) o3/2o5o3o5/3*b (µ=450) o3o5/4o3o5/2*b (µ=750)
quasiregulars
x3o5o3o5/3*b - dittady
o3x5o3o5/3*b - ridtidohi
o3o5x3o5/3*b - (contains cid)
o3o5o3x5/3*b - (contains gacid)
x3o5o3/2o5/2*b - dittady
o3x5o3/2o5/2*b - ridtidohi
o3o5x3/2o5/2*b - (contains cid)
o3o5o3/2x5/2*b - (contains gacid)
x3/2o5o3o5/3*b - dittady
o3/2x5o3o5/3*b - ridtidohi
o3/2o5x3o5/3*b - (contains cid)
o3/2o5o3x5/3*b - (contains gacid)
x3o5/4o3o5/2*b - dittady
o3x5/4o3o5/2*b - ridtidohi
o3o5/4x3o5/2*b - (contains cid)
o3o5/4o3x5/2*b - (contains gacid)
other
Wythoffians
x3x5o3o5/3*b - tidtidohi
x3o5x3o5/3*b - (contains cid)
x3o5o3x5/3*b - (contains gacid)
o3x5x3o5/3*b - srawv ditathi
o3x5o3x5/3*b - gwav ditathi
o3o5x3x5/3*b - tahi
x3x5x3o5/3*b - sid tipathi
x3x5o3x5/3*b - gid tipathi
x3o5x3x5/3*b - kavipathi
o3x5x3x5/3*b - hihiquatady
x3x5x3x5/3*b - dohitipady
x3x5o3/2o5/2*b - tidtidohi
x3o5x3/2o5/2*b - (contains cid)
x3o5o3/2x5/2*b - (contains gacid)
o3x5x3/2o5/2*b - srawv ditathi
o3x5o3/2x5/2*b - [Grünbaumian]
o3o5x3/2x5/2*b - [Grünbaumian]
x3x5x3/2o5/2*b - sid tipathi
x3x5o3/2x5/2*b - [Grünbaumian]
x3o5x3/2x5/2*b - [Grünbaumian]
o3x5x3/2x5/2*b - [Grünbaumian]
x3x5x3/2x5/2*b - [Grünbaumian]
x3/2x5o3o5/3*b - [Grünbaumian]
x3/2o5x3o5/3*b - (contains cid)
x3/2o5o3x5/3*b - (contains gacid)
o3/2x5x3o5/3*b - srawv ditathi
o3/2x5o3x5/3*b - gwav ditathi
o3/2o5x3x5/3*b - tahi
x3/2x5x3o5/3*b - [Grünbaumian]
x3/2x5o3x5/3*b - [Grünbaumian]
x3/2o5x3x5/3*b - (contains gicdatrid)
o3/2x5x3x5/3*b - hihiquatady
x3/2x5x3x5/3*b - [Grünbaumian]
x3x5/4o3o5/2*b - tidtidohi
x3o5/4x3o5/2*b - (contains cid)
x3o5/4o3x5/2*b - (contains gacid)
o3x5/4x3o5/2*b - [Grünbaumian]
o3x5/4o3x5/2*b - [Grünbaumian]
o3o5/4x3x5/2*b - tahi
x3x5/4x3o5/2*b - [Grünbaumian]
x3x5/4o3x5/2*b - [Grünbaumian]
x3o5/4x3x5/2*b - (contains gicdatrid)
o3x5/4x3x5/2*b - [Grünbaumian]
x3x5/4x3x5/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o3/2o5o3/2o5/2*b (µ=870) o3/2o5/4o3o5/2*b (µ=1170) o3o5/4o3/2o5/3*b (µ=1530) o3/2o5/4o3/2o5/3*b (µ=2310)
quasiregulars
x3/2o5o3/2o5/2*b - dittady
o3/2x5o3/2o5/2*b - ridtidohi
o3/2o5x3/2o5/2*b - (contains cid)
o3/2o5o3/2x5/2*b - (contains gacid)
x3/2o5/4o3o5/2*b - dittady
o3/2x5/4o3o5/2*b - ridtidohi
o3/2o5/4x3o5/2*b - (contains cid)
o3/2o5/4o3x5/2*b - (contains gacid)
x3o5/4o3/2o5/3*b - dittady
o3x5/4o3/2o5/3*b - ridtidohi
o3o5/4x3/2o5/3*b - (contains cid)
o3o5/4o3/2x5/3*b - (contains gacid)
x3/2o5/4o3/2o5/3*b - dittady
o3/2x5/4o3/2o5/3*b - ridtidohi
o3/2o5/4x3/2o5/3*b - (contains cid)
o3/2o5/4o3/2x5/3*b - (contains gacid)
other
Wythoffians
x3/2x5o3/2o5/2*b - [Grünbaumian]
x3/2o5x3/2o5/2*b - (contains cid)
x3/2o5o3/2x5/2*b - (contains gacid)
o3/2x5x3/2o5/2*b - srawv ditathi
o3/2x5o3/2x5/2*b - [Grünbaumian]
o3/2o5x3/2x5/2*b - [Grünbaumian]
x3/2x5x3/2o5/2*b - [Grünbaumian]
x3/2x5o3/2x5/2*b - [Grünbaumian]
x3/2o5x3/2x5/2*b - [Grünbaumian]
o3/2x5x3/2x5/2*b - [Grünbaumian]
x3/2x5x3/2x5/2*b - [Grünbaumian]
x3/2x5/4o3o5/2*b - [Grünbaumian]
x3/2o5/4x3o5/2*b - (contains cid)
x3/2o5/4o3x5/2*b - (contains gacid)
o3/2x5/4x3o5/2*b - [Grünbaumian]
o3/2x5/4o3x5/2*b - [Grünbaumian]
o3/2o5/4x3x5/2*b - tahi
x3/2x5/4x3o5/2*b - [Grünbaumian]
x3/2x5/4o3x5/2*b - [Grünbaumian]
x3/2o5/4x3x5/2*b - kavipathi
o3/2x5/4x3x5/2*b - [Grünbaumian]
x3/2x5/4x3x5/2*b - [Grünbaumian]
x3x5/4o3/2o5/3*b - tidtidohi
x3o5/4x3/2o5/3*b - (contains cid)
x3o5/4o3/2x5/3*b - (contains gacid)
o3x5/4x3/2o5/3*b - [Grünbaumian]
o3x5/4o3/2x5/3*b - gwav ditathi
o3o5/4x3/2x5/3*b - [Grünbaumian]
x3x5/4x3/2o5/3*b - [Grünbaumian]
x3x5/4o3/2x5/3*b - gid tipathi
x3o5/4x3/2x5/3*b - [Grünbaumian]
o3x5/4x3/2x5/3*b - [Grünbaumian]
x3x5/4x3/2x5/3*b - [Grünbaumian]
x3/2x5/4o3/2o5/3*b - [Grünbaumian]
x3/2o5/4x3/2o5/3*b - (contains cid)
x3/2o5/4o3/2x5/3*b - (contains gacid)
o3/2x5/4x3/2o5/3*b - [Grünbaumian]
o3/2x5/4o3/2x5/3*b - gwav ditathi
o3/2o5/4x3/2x5/3*b - [Grünbaumian]
x3/2x5/4x3/2o5/3*b - [Grünbaumian]
x3/2x5/4o3/2x5/3*b - [Grünbaumian]
x3/2o5/4x3/2x5/3*b - [Grünbaumian]
o3/2x5/4x3/2x5/3*b - [Grünbaumian]
x3/2x5/4x3/2x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o5o5/4o5*b   (up)

  o3o5o5/4o5*b (µ=8) o3o5o5o5/4*b (µ=112) o3/2o5o5o5/4*b (µ=608)
quasiregulars
x3o5o5/4o5*b - 2fix (?)
   (contains "2gad" as verf)
o3x5o5/4o5*b - (contains "2gad")
o3o5x5/4o5*b - (contains "2gad")
x3o5o5o5/4*b - 2fix (?)
   (contains "2gad" as verf)
o3x5o5o5/4*b - (contains "2gad")
o3o5x5o5/4*b - (contains "2gad")
o3o5o5x5/4*b - (contains "2gad")
x3/2o5o5o5/4*b - 2fix (?)
   (contains "2gad" as verf)
o3/2x5o5o5/4*b - (contains "2gad")
o3/2o5x5o5/4*b - (contains "2gad")
o3/2o5o5x5/4*b - (contains "2gad")
other
Wythoffians
x3x5o5/4o5*b - (contains "2gad")
x3o5x5/4o5*b - (contains "2gad")
o3x5x5/4o5*b - (contains "2sidhid")
o3o5x5/4x5*b - [Grünbaumian]
x3x5x5/4o5*b - (contains "2sidhid")
x3o5x5/4x5*b - [Grünbaumian]
o3x5x5/4x5*b - [Grünbaumian]
x3x5x5/4x5*b - [Grünbaumian]
x3x5o5o5/4*b - (contains "2gad")
x3o5x5o5/4*b - (contains "2gad")
x3o5o5x5/4*b - (contains "2gad")
o3x5x5o5/4*b - (contains "2sidhid")
o3x5o5x5/4*b - [Grünbaumian]
o3o5x5x5/4*b - (contains "2sidhid")
x3x5x5o5/4*b - (contains "2sidhid")
x3x5o5x5/4*b - [Grünbaumian]
x3o5x5x5/4*b - (contains "2sidhid")
o3x5x5x5/4*b - [Grünbaumian]
x3x5x5x5/4*b - [Grünbaumian]
x3/2x5o5o5/4*b - [Grünbaumian]
x3/2o5x5o5/4*b - (contains "2gad")
x3/2o5o5x5/4*b - (contains "2gad")
o3/2x5x5o5/4*b - (contains "2sidhid")
o3/2x5o5x5/4*b - [Grünbaumian]
o3/2o5x5x5/4*b - (contains "2sidhid")
x3/2x5x5o5/4*b - [Grünbaumian]
x3/2x5o5x5/4*b - [Grünbaumian]
x3/2o5x5x5/4*b - (contains "2sidhid")
o3/2x5x5x5/4*b - [Grünbaumian]
x3/2x5x5x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o3/2o5o5/4o5*b (µ=712) o3o5/4o5/4o5/4*b (µ=2168) o3/2o5/4o5/4o5/4*b (µ=2872)
quasiregulars
x3/2o5o5/4o5*b - 2fix (?)
   (contains "2gad" as verf)
o3/2x5o5/4o5*b - (contains "2gad")
o3/2o5x5/4o5*b - (contains "2gad")
x3o5/4o5/4o5/4*b - 2fix (?)
   (contains "2gad" as verf)
o3x5/4o5/4o5/4*b - (contains "2gad")
o3o5/4x5/4o5/4*b - (contains "2gad")
x3/2o5/4o5/4o5/4*b - 2fix (?)
   (contains "2gad" as verf)
o3/2x5/4o5/4o5/4*b - (contains "2gad")
o3/2o5/4x5/4o5/4*b - (contains "2gad")
other
Wythoffians
x3/2x5o5/4o5*b - [Grünbaumian]
x3/2o5x5/4o5*b - (contains "2gad")
o3/2x5x5/4o5*b - (contains "2sidhid")
o3/2o5x5/4x5*b - [Grünbaumian]
x3/2x5x5/4o5*b - [Grünbaumian]
x3/2o5x5/4x5*b - [Grünbaumian]
o3/2x5x5/4x5*b - [Grünbaumian]
x3/2x5x5/4x5*b - [Grünbaumian]
x3x5/4o5/4o5/4*b - (contains "2gad")
x3o5/4x5/4o5/4*b - (contains "2gad")
o3x5/4x5/4o5/4*b - [Grünbaumian]
o3o5/4x5/4x5/4*b - [Grünbaumian]
x3x5/4x5/4o5/4*b - [Grünbaumian]
x3o5/4x5/4x5/4*b - [Grünbaumian]
o3x5/4x5/4x5/4*b - [Grünbaumian]
x3x5/4x5/4x5/4*b - [Grünbaumian]
x3/2x5/4o5/4o5/4*b - [Grünbaumian]
x3/2o5/4x5/4o5/4*b - (contains "2gad")
o3/2x5/4x5/4o5/4*b - [Grünbaumian]
o3/2o5/4x5/4x5/4*b - [Grünbaumian]
x3/2x5/4x5/4o5/4*b - [Grünbaumian]
x3/2o5/4x5/4x5/4*b - [Grünbaumian]
o3/2x5/4x5/4x5/4*b - [Grünbaumian]
x3/2x5/4x5/4x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o5/2o5/2o5/2*b   (up)

  o3o5/2o5/2o5/2*b (µ=152) o3/2o5/2o5/2o5/2*b (µ=568) o3o5/2o5/3o5/3*b (µ=688)
quasiregulars
x3o5/2o5/2o5/2*b - 2gofix (?)
   (contains "2sissid" as verf)
o3x5/2o5/2o5/2*b - (contains "2sissid")
o3o5/2x5/2o5/2*b - (contains "2sissid")
x3/2o5/2o5/2o5/2*b - 2gofix (?)
   (contains "2sissid" as verf)
o3/2x5/2o5/2o5/2*b - (contains "2sissid")
o3/2o5/2x5/2o5/2*b - (contains "2sissid")
x3o5/2o5/3o5/3*b - 2gofix (?)
   (contains "2sissid" as verf)
o3x5/2o5/3o5/3*b - (contains "2sissid")
o3o5/2x5/3o5/3*b - (contains "2sissid")
o3o5/2o5/3x5/3*b - (contains "2sissid")
other
Wythoffians
x3x5/2o5/2o5/2*b - (contains "2sissid")
x3o5/2x5/2o5/2*b - (contains "2sissid")
o3x5/2x5/2o5/2*b - [Grünbaumian]
o3o5/2x5/2x5/2*b - [Grünbaumian]
x3x5/2x5/2o5/2*b - [Grünbaumian]
x3o5/2x5/2x5/2*b - [Grünbaumian]
o3x5/2x5/2x5/2*b - [Grünbaumian]
x3x5/2x5/2x5/2*b - [Grünbaumian]
x3/2x5/2o5/2o5/2*b - [Grünbaumian]
x3/2o5/2x5/2o5/2*b - (contains "2sissid")
o3/2x5/2x5/2o5/2*b - [Grünbaumian]
o3/2o5/2x5/2x5/2*b - [Grünbaumian]
x3/2x5/2x5/2o5/2*b - [Grünbaumian]
x3/2o5/2x5/2x5/2*b - [Grünbaumian]
o3/2x5/2x5/2x5/2*b - [Grünbaumian]
x3/2x5/2x5/2x5/2*b - [Grünbaumian]
x3x5/2o5/3o5/3*b - (contains "2sissid")
x3o5/2x5/3o5/3*b - (contains "2sissid")
x3o5/2o5/3x5/3*b - (contains "2sissid")
o3x5/2x5/3o5/3*b - [Grünbaumian]
o3x5/2o5/3x5/3*b - (contains "2gidhid")
o3o5/2x5/3x5/3*b - (contains "2gidhid")
x3x5/2x5/3o5/3*b - [Grünbaumian]
x3x5/2o5/3x5/3*b - (contains "2gidhid")
x3o5/2x5/3x5/3*b - (contains sicdatrid)
o3x5/2x5/3x5/3*b - [Grünbaumian]
x3x5/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o3o5/3o5/2o5/3*b (µ=872) o3/2o5/3o5/2o5/3*b (µ=1288) o3/2o5/2o5/3o5/3*b (µ=1472)
quasiregulars
x3o5/3o5/2o5/3*b - 2gofix (?)
   (contains "2sissid" as verf)
o3x5/3o5/2o5/3*b - (contains "2sissid")
o3o5/3x5/2o5/3*b - (contains "2sissid")
x3/2o5/3o5/2o5/3*b - 2gofix (?)
   (contains "2sissid" as verf)
o3/2x5/3o5/2o5/3*b - (contains "2sissid")
o3/2o5/3x5/2o5/3*b - (contains "2sissid")
x3/2o5/2o5/3o5/3*b - 2gofix (?)
   (contains "2sissid" as verf)
o3/2x5/2o5/3o5/3*b - (contains "2sissid")
o3/2o5/2x5/3o5/3*b - (contains "2sissid")
o3/2o5/2o5/3x5/3*b - (contains "2sissid")
other
Wythoffians
x3x5/3o5/2o5/3*b - (contains "2sissid")
x3o5/3x5/2o5/3*b - (contains "2sissid")
o3x5/3x5/2o5/3*b - (contains "2gidhid")
o3o5/3x5/2x5/3*b - [Grünbaumian]
x3x5/3x5/2o5/3*b - (contains "2gidhid")
x3o5/3x5/2x5/3*b - [Grünbaumian]
o3x5/3x5/2x5/3*b - [Grünbaumian]
x3x5/3x5/2x5/3*b - [Grünbaumian]
x3/2x5/3o5/2o5/3*b - [Grünbaumian]
x3/2o5/3x5/2o5/3*b - (contains "2sissid")
o3/2x5/3x5/2o5/3*b - (contains "2gidhid")
o3/2o5/3x5/2x5/3*b - [Grünbaumian]
x3/2x5/3x5/2o5/3*b - [Grünbaumian]
x3/2o5/3x5/2x5/3*b - [Grünbaumian]
o3/2x5/3x5/2x5/3*b - [Grünbaumian]
x3/2x5/3x5/2x5/3*b - [Grünbaumian]
x3/2x5/2o5/3o5/3*b - [Grünbaumian]
x3/2o5/2x5/3o5/3*b - (contains "2sissid")
x3/2o5/2o5/3x5/3*b - (contains "2sissid")
o3/2x5/2x5/3o5/3*b - [Grünbaumian]
o3/2x5/2o5/3x5/3*b - (contains "2gidhid")
o3/2o5/2x5/3x5/3*b - (contains "2gidhid")
x3/2x5/2x5/3o5/3*b - [Grünbaumian]
x3/2x5/2o5/3x5/3*b - [Grünbaumian]
x3/2o5/2x5/3x5/3*b - (contains sicdatrid)
o3/2x5/2x5/3x5/3*b - [Grünbaumian]
x3/2x5/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5o3o3/2o3*b   (up)

  o5o3o3/2o3*b (µ=2) o5o3o3o3/2*b (µ=118) o5/4o3o3o3/2*b (µ=1082)
quasiregulars
x5o3o3/2o3*b - 2hi (?)
   (contains f-"2tet" as verf)
o5x3o3/2o3*b - (contains "2tet")
o5o3x3/2o3*b - (contains "2tet")
x5o3o3o3/2*b - 2hi (?)
   (contains f-"2tet" as verf)
o5x3o3o3/2*b - (contains "2tet")
o5o3x3o3/2*b - (contains "2tet")
o5o3o3x3/2*b - (contains "2tet")
x5/4o3o3o3/2*b - 2hi (?)
   (contains f-"2tet" as verf)
o5/4x3o3o3/2*b - (contains "2tet")
o5/4o3x3o3/2*b - (contains "2tet")
o5/4o3o3x3/2*b - (contains "2tet")
other
Wythoffians
x5x3o3/2o3*b - (contains "2tet")
x5o3x3/2o3*b - sirdtapady+600 2tet
   (contains "2tet")
o5x3x3/2o3*b - srawv hixhi
o5o3x3/2x3*b - [Grünbaumian]
x5x3x3/2o3*b - spixhihy
x5o3x3/2x3*b - [Grünbaumian]
o5x3x3/2x3*b - [Grünbaumian]
x5x3x3/2x3*b - [Grünbaumian]
x5x3o3o3/2*b - (contains "2tet")
x5o3x3o3/2*b - sirdtapady+600 2tet
   (contains "2tet")
x5o3o3x3/2*b - (contains gicdatrid)
o5x3x3o3/2*b - srawv hixhi
o5x3o3x3/2*b - [Grünbaumian]
o5o3x3x3/2*b - 2gifdahihox (?)
x5x3x3o3/2*b - spixhihy
x5x3o3x3/2*b - [Grünbaumian]
x5o3x3x3/2*b - (contains gicdatrid)
o5x3x3x3/2*b - [Grünbaumian]
x5x3x3x3/2*b - [Grünbaumian]
x5/4x3o3o3/2*b - [Grünbaumian]
x5/4o3x3o3/2*b - (contains gicdatrid)
x5/4o3o3x3/2*b - sirdtapady+600 2tet
   (contains "2tet")
o5/4x3x3o3/2*b - srawv hixhi
o5/4x3o3x3/2*b - [Grünbaumian]
o5/4o3x3x3/2*b - 2gifdahihox (?)
x5/4x3x3o3/2*b - [Grünbaumian]
x5/4x3o3x3/2*b - [Grünbaumian]
x5/4o3x3x3/2*b - (contains gicdatrid)
o5/4x3x3x3/2*b - [Grünbaumian]
x5/4x3x3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o5/4o3o3/2o3*b (µ=1198) o5o3/2o3/2o3/2*b (µ=1202) o5/4o3/2o3/2o3/2*b (µ=2398)
quasiregulars
x5/4o3o3/2o3*b - 2hi (?)
   (contains f-"2tet" as verf)
o5/4x3o3/2o3*b - (contains "2tet")
o5/4o3x3/2o3*b - (contains "2tet")
x5o3/2o3/2o3/2*b - 2hi (?)
   (contains f-"2tet" as verf)
o5x3/2o3/2o3/2*b - (contains "2tet")
o5o3/2x3/2o3/2*b - (contains "2tet")
x5/4o3/2o3/2o3/2*b - 2hi (?)
   (contains f-"2tet" as verf)
o5/4x3/2o3/2o3/2*b - (contains "2tet")
o5/4o3/2x3/2o3/2*b - (contains "2tet")
other
Wythoffians
x5/4x3o3/2o3*b - [Grünbaumian]
x5/4o3x3/2o3*b - (contains gicdatrid)
o5/4x3x3/2o3*b - srawv hixhi
o5/4o3x3/2x3*b - [Grünbaumian]
x5/4x3x3/2o3*b - [Grünbaumian]
x5/4o3x3/2x3*b - [Grünbaumian]
o5/4x3x3/2x3*b - [Grünbaumian]
x5/4x3x3/2x3*b - [Grünbaumian]
x5x3/2o3/2o3/2*b - (contains "2tet")
x5o3/2x3/2o3/2*b - (contains gicdatrid)
o5x3/2x3/2o3/2*b - [Grünbaumian]
o5o3/2x3/2x3/2*b - [Grünbaumian]
x5x3/2x3/2o3/2*b - [Grünbaumian]
x5o3/2x3/2x3/2*b - [Grünbaumian]
o5x3/2x3/2x3/2*b - [Grünbaumian]
x5x3/2x3/2x3/2*b - [Grünbaumian]
x5/4x3/2o3/2o3/2*b - [Grünbaumian]
x5/4o3/2x3/2o3/2*b - sirdtapady+600 2tet
   (contains "2tet")
o5/4x3/2x3/2o3/2*b - [Grünbaumian]
o5/4o3/2x3/2x3/2*b - [Grünbaumian]
x5/4x3/2x3/2o3/2*b - [Grünbaumian]
x5/4o3/2x3/2x3/2*b - [Grünbaumian]
o5/4x3/2x3/2x3/2*b - [Grünbaumian]
x5/4x3/2x3/2x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o3o3/2o3*b   (up)

  o5/2o3o3/2o3*b (µ=382) o5/2o3o3o3/2*b (µ=458) o5/3o3o3o3/2*b (µ=742)
quasiregulars
x5/2o3o3/2o3*b - 2gogishi (?)
   (contains v-"2tet" as verf)
o5/2x3o3/2o3*b - (contains "2tet")
o5/2o3x3/2o3*b - (contains "2tet")
x5/2o3o3o3/2*b - 2gogishi (?)
   (contains v-"2tet" as verf)
o5/2x3o3o3/2*b - (contains "2tet")
o5/2o3x3o3/2*b - (contains "2tet")
o5/2o3o3x3/2*b - (contains "2tet")
x5/3o3o3o3/2*b - 2gogishi (?)
   (contains v-"2tet" as verf)
o5/3x3o3o3/2*b - (contains "2tet")
o5/3o3x3o3/2*b - (contains "2tet")
o5/3o3o3x3/2*b - (contains "2tet")
other
Wythoffians
x5/2x3o3/2o3*b - [Grünbaumian]
x5/2o3x3/2o3*b - (contains sicdatrid)
o5/2x3x3/2o3*b - garawv hixhi
o5/2o3x3/2x3*b - [Grünbaumian]
x5/2x3x3/2o3*b - [Grünbaumian]
x5/2o3x3/2x3*b - [Grünbaumian]
o5/2x3x3/2x3*b - [Grünbaumian]
x5/2x3x3/2x3*b - [Grünbaumian]
x5/2x3o3o3/2*b - [Grünbaumian]
x5/2o3x3o3/2*b - (contains sicdatrid)
x5/2o3o3x3/2*b - gadathiphi+600 2tet
   (contains "2tet")
o5/2x3x3o3/2*b - garawv hixhi
o5/2x3o3x3/2*b - [Grünbaumian]
o5/2o3x3x3/2*b - 2sifdahihox (?)
x5/2x3x3o3/2*b - [Grünbaumian]
x5/2x3o3x3/2*b - [Grünbaumian]
x5/2o3x3x3/2*b - (contains sicdatrid)
o5/2x3x3x3/2*b - [Grünbaumian]
x5/2x3x3x3/2*b - [Grünbaumian]
x5/3x3o3o3/2*b - (contains "2tet")
x5/3o3x3o3/2*b - gadathiphi+600 2tet
   (contains "2tet")
x5/3o3o3x3/2*b - (contains sicdatrid)
o5/3x3x3o3/2*b - garawv hixhi
o5/3x3o3x3/2*b - [Grünbaumian]
o5/3o3x3x3/2*b - 2sifdahihox (?)
x5/3x3x3o3/2*b - gippixhihy
x5/3x3o3x3/2*b - [Grünbaumian]
x5/3o3x3x3/2*b - (contains sicdatrid)
o5/3x3x3x3/2*b - [Grünbaumian]
x5/3x3x3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o5/3o3o3/2o3*b (µ=818) o5/2o3/2o3/2o3/2*b (µ=1582) o5/3o3/2o3/2o3/2*b (µ=2018)
quasiregulars
x5/3o3o3/2o3*b - 2gogishi (?)
   (contains v-"2tet" as verf)
o5/3x3o3/2o3*b - (contains "2tet")
o5/3o3x3/2o3*b - (contains "2tet")
x5/2o3/2o3/2o3/2*b - 2gogishi (?)
   (contains v-"2tet" as verf)
o5/2x3/2o3/2o3/2*b - (contains "2tet")
o5/2o3/2x3/2o3/2*b - (contains "2tet")
x5/3o3/2o3/2o3/2*b - 2gogishi (?)
   (contains v-"2tet" as verf)
o5/3x3/2o3/2o3/2*b - (contains "2tet")
o5/3o3/2x3/2o3/2*b - (contains "2tet")
other
Wythoffians
x5/3x3o3/2o3*b - (contains "2tet")
x5/3o3x3/2o3*b - gadathiphi+600 2tet
   (contains "2tet")
o5/3x3x3/2o3*b - garawv hixhi
o5/3o3x3/2x3*b - [Grünbaumian]
x5/3x3x3/2o3*b - gippixhihy
x5/3o3x3/2x3*b - [Grünbaumian]
o5/3x3x3/2x3*b - [Grünbaumian]
x5/3x3x3/2x3*b - [Grünbaumian]
x5/2x3/2o3/2o3/2*b - [Grünbaumian]
x5/2o3/2x3/2o3/2*b - gadathiphi+600 2tet
   (contains "2tet")
o5/2x3/2x3/2o3/2*b - [Grünbaumian]
o5/2o3/2x3/2x3/2*b - [Grünbaumian]
x5/2x3/2x3/2o3/2*b - [Grünbaumian]
x5/2o3/2x3/2x3/2*b - [Grünbaumian]
o5/2x3/2x3/2x3/2*b - [Grünbaumian]
x5/2x3/2x3/2x3/2*b - [Grünbaumian]
x5/3x3/2o3/2o3/2*b - (contains "2tet")
x5/3o3/2x3/2o3/2*b - (contains sicdatrid)
o5/3x3/2x3/2o3/2*b - [Grünbaumian]
o5/3o3/2x3/2x3/2*b - [Grünbaumian]
x5/3x3/2x3/2o3/2*b - [Grünbaumian]
x5/3o3/2x3/2x3/2*b - [Grünbaumian]
o5/3x3/2x3/2x3/2*b - [Grünbaumian]
x5/3x3/2x3/2x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5o3o5/4o3*b   (up)

  o5o3o5/4o3*b (µ=40) o5o3o5o3/2*b (µ=80) o5/4o3o5o3/2*b (µ=640)
quasiregulars
x5o3o5/4o3*b - 2gahi (?)
   (contains f-"2gike" as verf)
o5x3o5/4o3*b - (contains "2gike")
o5o3x5/4o3*b - gitpodady
x5o3o5o3/2*b - 2gahi (?)
   (contains f-"2gike" as verf)
o5x3o5o3/2*b - (contains "2gike")
o5o3x5o3/2*b - gitpodady
o5o3o5x3/2*b - gitpodady
x5/4o3o5o3/2*b - 2gahi (?)
   (contains f-"2gike" as verf)
o5/4x3o5o3/2*b - (contains "2gike")
o5/4o3x5o3/2*b - gitpodady
o5/4o3o5x3/2*b - gitpodady
other
Wythoffians
x5x3o5/4o3*b - (contains "2gike")
x5o3x5/4o3*b - sedit pathi
o5x3x5/4o3*b - grawvathi
o5o3x5/4x3*b - [Grünbaumian]
x5x3x5/4o3*b - ghipady
x5o3x5/4x3*b - [Grünbaumian]
o5x3x5/4x3*b - [Grünbaumian]
x5x3x5/4x3*b - [Grünbaumian]
x5x3o5o3/2*b - (contains "2gike")
x5o3x5o3/2*b - sedit pathi
x5o3o5x3/2*b - (contains gicdatrid)
o5x3x5o3/2*b - grawvathi
o5x3o5x3/2*b - [Grünbaumian]
o5o3x5x3/2*b - (contains "2seihid")
x5x3x5o3/2*b - ghipady
x5x3o5x3/2*b - [Grünbaumian]
x5o3x5x3/2*b - (contains gicdatrid)
o5x3x5x3/2*b - [Grünbaumian]
x5x3x5x3/2*b - [Grünbaumian]
x5/4x3o5o3/2*b - [Grünbaumian]
x5/4o3x5o3/2*b - (contains gicdatrid)
x5/4o3o5x3/2*b - sedit pathi
o5/4x3x5o3/2*b - grawvathi
o5/4x3o5x3/2*b - [Grünbaumian]
o5/4o3x5x3/2*b - (contains "2seihid")
x5/4x3x5o3/2*b - [Grünbaumian]
x5/4x3o5x3/2*b - [Grünbaumian]
x5/4o3x5x3/2*b - (contains gicdatrid)
o5/4x3x5x3/2*b - [Grünbaumian]
x5/4x3x5x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o5o3/2o5/4o3/2*b (µ=1240) o5/4o3o5/4o3*b (µ=1640) o5/4o3/2o5/4o3/2*b (µ=2840)
quasiregulars
x5o3/2o5/4o3/2*b - 2gahi (?)
   (contains f-"2gike" as verf)
o5x3/2o5/4o3/2*b - (contains "2gike")
o5o3/2x5/4o3/2*b - gitpodady
x5/4o3o5/4o3*b - 2gahi (?)
   (contains f-"2gike" as verf)
o5/4x3o5/4o3*b - (contains "2gike")
o5/4o3x5/4o3*b - gitpodady
x5/4o3/2o5/4o3/2*b - 2gahi (?)
   (contains f-"2gike" as verf)
o5/4x3/2o5/4o3/2*b - (contains "2gike")
o5/4o3/2x5/4o3/2*b - gitpodady
other
Wythoffians
x5x3/2o5/4o3/2*b - (contains "2gike")
x5o3/2x5/4o3/2*b - (contains gicdatrid)
o5x3/2x5/4o3/2*b - [Grünbaumian]
o5o3/2x5/4x3/2*b - [Grünbaumian]
x5x3/2x5/4o3/2*b - [Grünbaumian]
x5o3/2x5/4x3/2*b - [Grünbaumian]
o5x3/2x5/4x3/2*b - [Grünbaumian]
x5x3/2x5/4x3/2*b - [Grünbaumian]
x5/4x3o5/4o3*b - [Grünbaumian]
x5/4o3x5/4o3*b - (contains gicdatrid)
o5/4x3x5/4o3*b - grawvathi
o5/4o3x5/4x3*b - [Grünbaumian]
x5/4x3x5/4o3*b - [Grünbaumian]
x5/4o3x5/4x3*b - [Grünbaumian]
o5/4x3x5/4x3*b - [Grünbaumian]
x5/4x3x5/4x3*b - [Grünbaumian]
x5/4x3/2o5/4o3/2*b - [Grünbaumian]
x5/4o3/2x5/4o3/2*b - sedit pathi
o5/4x3/2x5/4o3/2*b - [Grünbaumian]
o5/4o3/2x5/4x3/2*b - [Grünbaumian]
x5/4x3/2x5/4o3/2*b - [Grünbaumian]
x5/4o3/2x5/4x3/2*b - [Grünbaumian]
o5/4x3/2x5/4x3/2*b - [Grünbaumian]
x5/4x3/2x5/4x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o3o5/2o3*b   (up)

  o5/2o3o5/2o3*b (µ=40) o5/3o3o5/2o3*b (µ=200) o5/2o3o5/3o3/2*b (µ=800)
quasiregulars
x5/2o3o5/2o3*b - 2gishi (?)
   (contains v-"2ike" as verf)
o5/2x3o5/2o3*b - (contains "2ike")
o5/2o3x5/2o3*b - sitpodady
x5/3o3o5/2o3*b - 2gishi (?)
   (contains v-"2ike" as verf)
o5/3x3o5/2o3*b - (contains "2ike")
o5/3o3x5/2o3*b - sitpodady
x5/2o3o5/3o3/2*b - 2gishi (?)
   (contains v-"2ike" as verf)
o5/2x3o5/3o3/2*b - (contains "2ike")
o5/2o3x5/3o3/2*b - sitpodady
o5/2o3o5/3x3/2*b - sitpodady
other
Wythoffians
x5/2x3o5/2o3*b - [Grünbaumian]
x5/2o3x5/2o3*b - (contains sicdatrid)
o5/2x3x5/2o3*b - swavathi
o5/2o3x5/2x3*b - [Grünbaumian]
x5/2x3x5/2o3*b - [Grünbaumian]
x5/2o3x5/2x3*b - [Grünbaumian]
o5/2x3x5/2x3*b - [Grünbaumian]
x5/2x3x5/2x3*b - [Grünbaumian]
x5/3x3o5/2o3*b - (contains "2ike")
x5/3o3x5/2o3*b - gaedit pathi
o5/3x3x5/2o3*b - swavathi
o5/3o3x5/2x3*b - [Grünbaumian]
x5/3x3x5/2o3*b - shipady
x5/3o3x5/2x3*b - [Grünbaumian]
o5/3x3x5/2x3*b - [Grünbaumian]
x5/3x3x5/2x3*b - [Grünbaumian]
x5/2x3o5/3o3/2*b - [Grünbaumian]
x5/2o3x5/3o3/2*b - (contains sicdatrid)
x5/2o3o5/3x3/2*b - gaedit pathi
o5/2x3x5/3o3/2*b - swavathi
o5/2x3o5/3x3/2*b - [Grünbaumian]
o5/2o3x5/3x3/2*b - (contains "2geihid")
x5/2x3x5/3o3/2*b - [Grünbaumian]
x5/2x3o5/3x3/2*b - [Grünbaumian]
x5/2o3x5/3x3/2*b - (contains sicdatrid)
o5/2x3x5/3x3/2*b - [Grünbaumian]
x5/2x3x5/3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o5/2o3/2o5/2o3/2*b (µ=1240) o5/3o3o5/3o3/2*b (µ=1360) o5/3o3/2o5/2o3/2*b (µ=1400)
quasiregulars
x5/2o3/2o5/2o3/2*b - 2gishi (?)
   (contains v-"2ike" as verf)
o5/2x3/2o5/2o3/2*b - (contains "2ike")
o5/2o3/2x5/2o3/2*b - sitpodady
x5/3o3o5/3o3/2*b - 2gishi (?)
   (contains v-"2ike" as verf)
o5/3x3o5/3o3/2*b - (contains "2ike")
o5/3o3x5/3o3/2*b - sitpodady
o5/3o3o5/3x3/2*b - sitpodady
x5/3o3/2o5/2o3/2*b - 2gishi (?)
   (contains v-"2ike" as verf)
o5/3x3/2o5/2o3/2*b - (contains "2ike")
o5/3o3/2x5/2o3/2*b - sitpodady
other
Wythoffians
x5/2x3/2o5/2o3/2*b - [Grünbaumian]
x5/2o3/2x5/2o3/2*b - gaedit pathi
o5/2x3/2x5/2o3/2*b - [Grünbaumian]
o5/2o3/2x5/2x3/2*b - [Grünbaumian]
x5/2x3/2x5/2o3/2*b - [Grünbaumian]
x5/2o3/2x5/2x3/2*b - [Grünbaumian]
o5/2x3/2x5/2x3/2*b - [Grünbaumian]
x5/2x3/2x5/2x3/2*b - [Grünbaumian]
x5/3x3o5/3o3/2*b - (contains "2ike")
x5/3o3x5/3o3/2*b - gaedit pathi
x5/3o3o5/3x3/2*b - (contains sicdatrid)
o5/3x3x5/3o3/2*b - swavathi
o5/3x3o5/3x3/2*b - [Grünbaumian]
o5/3o3x5/3x3/2*b - (contains "2geihid")
x5/3x3x5/3o3/2*b - shipady
x5/3x3o5/3x3/2*b - [Grünbaumian]
x5/3o3x5/3x3/2*b - (contains sicdatrid)
o5/3x3x5/3x3/2*b - [Grünbaumian]
x5/3x3x5/3x3/2*b - [Grünbaumian]
x5/3x3/2o5/2o3/2*b - (contains "2ike")
x5/3o3/2x5/2o3/2*b - (contains sicdatrid)
o5/3x3/2x5/2o3/2*b - [Grünbaumian]
o5/3o3/2x5/2x3/2*b - [Grünbaumian]
x5/3x3/2x5/2o3/2*b - [Grünbaumian]
x5/3o3/2x5/2x3/2*b - [Grünbaumian]
o5/3x3/2x5/2x3/2*b - [Grünbaumian]
x5/3x3/2x5/2x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5o3o5o5/3*b   (up)

  o5o3o5o5/3*b (µ=14) o5o3o5/4o5/2*b (µ=106) o5o3/2o5o5/2*b (µ=254) o5/4o3o5o5/3*b (µ=466)
quasiregulars
x5o3o5o5/3*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5x3o5o5/3*b - (contains gacid)
o5o3x5o5/3*b - (contains cid)
o5o3o5x5/3*b - sishi+idhi (?)
x5o3o5/4o5/2*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5x3o5/4o5/2*b - (contains gacid)
o5o3x5/4o5/2*b - (contains cid)
o5o3o5/4x5/2*b - sishi+idhi (?)
x5o3/2o5o5/2*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5x3/2o5o5/2*b - (contains gacid)
o5o3/2x5o5/2*b - (contains cid)
o5o3/2o5x5/2*b - sishi+idhi (?)
x5/4o3o5o5/3*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5/4x3o5o5/3*b - (contains gacid)
o5/4o3x5o5/3*b - (contains cid)
o5/4o3o5x5/3*b - sishi+idhi (?)
other
Wythoffians
x5x3o5o5/3*b - (contains gacid)
x5o3x5o5/3*b - (contains cid)
x5o3o5x5/3*b - (contains cadditradid)
o5x3x5o5/3*b - srawv hidy
o5x3o5x5/3*b - swav ditathi
o5o3x5x5/3*b - sisdipthi
x5x3x5o5/3*b - siphidy
x5x3o5x5/3*b - gid thipady
x5o3x5x5/3*b - (contains cadditradid)
o5x3x5x5/3*b - dahiquatady
x5x3x5x5/3*b - sidhiquit paddy
x5x3o5/4o5/2*b - (contains gacid)
x5o3x5/4o5/2*b - (contains cid)
x5o3o5/4x5/2*b - seedatepthi
o5x3x5/4o5/2*b - srawv hidy
o5x3o5/4x5/2*b - [Grünbaumian]
o5o3x5/4x5/2*b - [Grünbaumian]
x5x3x5/4o5/2*b - siphidy
x5x3o5/4x5/2*b - [Grünbaumian]
x5o3x5/4x5/2*b - [Grünbaumian]
o5x3x5/4x5/2*b - [Grünbaumian]
x5x3x5/4x5/2*b - [Grünbaumian]
x5x3/2o5o5/2*b - (contains gacid)
x5o3/2x5o5/2*b - (contains cid)
x5o3/2o5x5/2*b - seedatepthi
o5x3/2x5o5/2*b - [Grünbaumian]
o5x3/2o5x5/2*b - [Grünbaumian]
o5o3/2x5x5/2*b - sisdipthi
x5x3/2x5o5/2*b - [Grünbaumian]
x5x3/2o5x5/2*b - [Grünbaumian]
x5o3/2x5x5/2*b - (contains gicdatrid)
o5x3/2x5x5/2*b - [Grünbaumian]
x5x3/2x5x5/2*b - [Grünbaumian]
x5/4x3o5o5/3*b - [Grünbaumian]
x5/4o3x5o5/3*b - (contains cid)
x5/4o3o5x5/3*b - seedatepthi
o5/4x3x5o5/3*b - srawv hidy
o5/4x3o5x5/3*b - swav ditathi
o5/4o3x5x5/3*b - sisdipthi
x5/4x3x5o5/3*b - [Grünbaumian]
x5/4x3o5x5/3*b - [Grünbaumian]
x5/4o3x5x5/3*b - (contains gicdatrid)
o5/4x3x5x5/3*b - dahiquatady
x5/4x3x5x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o5/4o3/2o5o5/2*b (µ=706) o5o3/2o5/4o5/3*b (µ=1066) o5/4o3o5/4o5/2*b (µ=1814) o5/4o3/2o5/4o5/3*b (µ=2774)
quasiregulars
x5/4o3/2o5o5/2*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5/4x3/2o5o5/2*b - (contains gacid)
o5/4o3/2x5o5/2*b - (contains cid)
o5/4o3/2o5x5/2*b - sishi+idhi (?)
x5o3/2o5/4o5/3*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5x3/2o5/4o5/3*b - (contains gacid)
o5o3/2x5/4o5/3*b - (contains cid)
o5o3/2o5/4x5/3*b - sishi+idhi (?)
x5/4o3o5/4o5/2*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5/4x3o5/4o5/2*b - (contains gacid)
o5/4o3x5/4o5/2*b - (contains cid)
o5/4o3o5/4x5/2*b - sishi+idhi (?)
x5/4o3/2o5/4o5/3*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5/4x3/2o5/4o5/3*b - (contains gacid)
o5/4o3/2x5/4o5/3*b - (contains cid)
o5/4o3/2o5/4x5/3*b - sishi+idhi (?)
other
Wythoffians
x5/4x3/2o5o5/2*b - [Grünbaumian]
x5/4o3/2x5o5/2*b - (contains cid)
x5/4o3/2o5x5/2*b - (contains cadditradid)
o5/4x3/2x5o5/2*b - [Grünbaumian]
o5/4x3/2o5x5/2*b - [Grünbaumian]
o5/4o3/2x5x5/2*b - sisdipthi
x5/4x3/2x5o5/2*b - [Grünbaumian]
x5/4x3/2o5x5/2*b - [Grünbaumian]
x5/4o3/2x5x5/2*b - (contains cadditradid)
o5/4x3/2x5x5/2*b - [Grünbaumian]
x5/4x3/2x5x5/2*b - [Grünbaumian]
x5x3/2o5/4o5/3*b - (contains gacid)
x5o3/2x5/4o5/3*b - (contains cid)
x5o3/2o5/4x5/3*b - (contains cadditradid)
o5x3/2x5/4o5/3*b - [Grünbaumian]
o5x3/2o5/4x5/3*b - swav ditathi
o5o3/2x5/4x5/3*b - [Grünbaumian]
x5x3/2x5/4o5/3*b - [Grünbaumian]
x5x3/2o5/4x5/3*b - gid thipady
x5o3/2x5/4x5/3*b - [Grünbaumian]
o5x3/2x5/4x5/3*b - [Grünbaumian]
x5x3/2x5/4x5/3*b - [Grünbaumian]
x5/4x3o5/4o5/2*b - [Grünbaumian]
x5/4o3x5/4o5/2*b - (contains cid)
x5/4o3o5/4x5/2*b - (contains cadditradid)
o5/4x3x5/4o5/2*b - srawv hidy
o5/4x3o5/4x5/2*b - [Grünbaumian]
o5/4o3x5/4x5/2*b - [Grünbaumian]
x5/4x3x5/4o5/2*b - [Grünbaumian]
x5/4x3o5/4x5/2*b - [Grünbaumian]
x5/4o3x5/4x5/2*b - [Grünbaumian]
o5/4x3x5/4x5/2*b - [Grünbaumian]
x5/4x3x5/4x5/2*b - [Grünbaumian]
x5/4x3/2o5/4o5/3*b - [Grünbaumian]
x5/4o3/2x5/4o5/3*b - (contains cid)
x5/4o3/2o5/4x5/3*b - seedatepthi
o5/4x3/2x5/4o5/3*b - [Grünbaumian]
o5/4x3/2o5/4x5/3*b - swav ditathi
o5/4o3/2x5/4x5/3*b - [Grünbaumian]
x5/4x3/2x5/4o5/3*b - [Grünbaumian]
x5/4x3/2o5/4x5/3*b - [Grünbaumian]
x5/4o3/2x5/4x5/3*b - [Grünbaumian]
o5/4x3/2x5/4x5/3*b - [Grünbaumian]
x5/4x3/2x5/4x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o3o5/3o5*b   (up)

  o5/2o3o5/3o5*b (µ=86) o5/2o3/2o5/2o5*b (µ=274) o5/3o3o5/3o5*b (µ=394) o5/3o3/2o5/2o5*b (µ=686)
quasiregulars
x5/2o3o5/3o5*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/2x3o5/3o5*b - (contains cid)
o5/2o3x5/3o5*b - (contains gacid)
o5/2o3o5/3x5*b - gaghi+idhi (?)
x5/2o3/2o5/2o5*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/2x3/2o5/2o5*b - (contains cid)
o5/2o3/2x5/2o5*b - (contains gacid)
o5/2o3/2o5/2x5*b - gaghi+idhi (?)
x5/3o3o5/3o5*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/3x3o5/3o5*b - (contains cid)
o5/3o3x5/3o5*b - (contains gacid)
o5/3o3o5/3x5*b - gaghi+idhi (?)
x5/3o3/2o5/2o5*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/3x3/2o5/2o5*b - (contains cid)
o5/3o3/2x5/2o5*b - (contains gacid)
o5/3o3/2o5/2x5*b - gaghi+idhi (?)
other
Wythoffians
x5/2x3o5/3o5*b - [Grünbaumian]
x5/2o3x5/3o5*b - (contains gacid)
x5/2o3o5/3x5*b - geedatepthi
o5/2x3x5/3o5*b - grawv hidy
o5/2x3o5/3x5*b - grawv ditathi
o5/2o3x5/3x5*b - gisdipthi
x5/2x3x5/3o5*b - [Grünbaumian]
x5/2x3o5/3x5*b - [Grünbaumian]
x5/2o3x5/3x5*b - (contains sicdatrid)
o5/2x3x5/3x5*b - dahitady
x5/2x3x5/3x5*b - [Grünbaumian]
x5/2x3/2o5/2o5*b - [Grünbaumian]
x5/2o3/2x5/2o5*b - (contains gacid)
x5/2o3/2o5/2x5*b - geedatepthi
o5/2x3/2x5/2o5*b - [Grünbaumian]
o5/2x3/2o5/2x5*b - grawv ditathi
o5/2o3/2x5/2x5*b - [Grünbaumian]
x5/2x3/2x5/2o5*b - [Grünbaumian]
x5/2x3/2o5/2x5*b - [Grünbaumian]
x5/2o3/2x5/2x5*b - [Grünbaumian]
o5/2x3/2x5/2x5*b - [Grünbaumian]
x5/2x3/2x5/2x5*b - [Grünbaumian]
x5/3x3o5/3o5*b - (contains cid)
x5/3o3x5/3o5*b - (contains gacid)
x5/3o3o5/3x5*b - (contains cadditradid)
o5/3x3x5/3o5*b - grawv hidy
o5/3x3o5/3x5*b - grawv ditathi
o5/3o3x5/3x5*b - gisdipthi
x5/3x3x5/3o5*b - giphidy
x5/3x3o5/3x5*b - sid thipady
x5/3o3x5/3x5*b - (contains cadditradid)
o5/3x3x5/3x5*b - dahitady
x5/3x3x5/3x5*b - gidhiquit paddy
x5/3x3/2o5/2o5*b - (contains cid)
x5/3o3/2x5/2o5*b - (contains gacid)
x5/3o3/2o5/2x5*b - (contains cadditradid)
o5/3x3/2x5/2o5*b - [Grünbaumian]
o5/3x3/2o5/2x5*b - grawv ditathi
o5/3o3/2x5/2x5*b - [Grünbaumian]
x5/3x3/2x5/2o5*b - [Grünbaumian]
x5/3x3/2o5/2x5*b - sid thipady
x5/3o3/2x5/2x5*b - [Grünbaumian]
o5/3x3/2x5/2x5*b - [Grünbaumian]
x5/3x3/2x5/2x5*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o5/2o3o5/2o5/4*b (µ=754) o5/3o3o5/2o5/4*b (µ=1166) o5/2o3/2o5/3o5/4*b (µ=1766) o5/3o3/2o5/3o5/4*b (µ=2074)
quasiregulars
x5/2o3o5/2o5/4*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/2x3o5/2o5/4*b - (contains cid)
o5/2o3x5/2o5/4*b - (contains gacid)
o5/2o3o5/2x5/4*b - gaghi+idhi (?)
x5/3o3o5/2o5/4*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/3x3o5/2o5/4*b - (contains cid)
o5/3o3x5/2o5/4*b - (contains gacid)
o5/3o3o5/2x5/4*b - gaghi+idhi (?)
x5/2o3/2o5/3o5/4*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/2x3/2o5/3o5/4*b - (contains cid)
o5/2o3/2x5/3o5/4*b - (contains gacid)
o5/2o3/2o5/3x5/4*b - gaghi+idhi (?)
x5/3o3/2o5/3o5/4*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/3x3/2o5/3o5/4*b - (contains cid)
o5/3o3/2x5/3o5/4*b - (contains gacid)
o5/3o3/2o5/3x5/4*b - gaghi+idhi (?)
other
Wythoffians
x5/2x3o5/2o5/4*b - [Grünbaumian]
x5/2o3x5/2o5/4*b - (contains gacid)
x5/2o3o5/2x5/4*b - (contains cadditradid)
o5/2x3x5/2o5/4*b - grawv hidy
o5/2x3o5/2x5/4*b - [Grünbaumian]
o5/2o3x5/2x5/4*b - [Grünbaumian]
x5/2x3x5/2o5/4*b - [Grünbaumian]
x5/2x3o5/2x5/4*b - [Grünbaumian]
x5/2o3x5/2x5/4*b - [Grünbaumian]
o5/2x3x5/2x5/4*b - [Grünbaumian]
x5/2x3x5/2x5/4*b - [Grünbaumian]
x5/3x3o5/2o5/4*b - (contains cid)
x5/3o3x5/2o5/4*b - (contains gacid)
x5/3o3o5/2x5/4*b - geedatepthi
o5/3x3x5/2o5/4*b - grawv hidy
o5/3x3o5/2x5/4*b - [Grünbaumian]
o5/3o3x5/2x5/4*b - [Grünbaumian]
x5/3x3x5/2o5/4*b - giphidy
x5/3x3o5/2x5/4*b - [Grünbaumian]
x5/3o3x5/2x5/4*b - [Grünbaumian]
o5/3x3x5/2x5/4*b - [Grünbaumian]
x5/3x3x5/2x5/4*b - [Grünbaumian]
x5/2x3/2o5/3o5/4*b - [Grünbaumian]
x5/2o3/2x5/3o5/4*b - (contains gacid)
x5/2o3/2o5/3x5/4*b - (contains cadditradid)
o5/2x3/2x5/3o5/4*b - [Grünbaumian]
o5/2x3/2o5/3x5/4*b - [Grünbaumian]
o5/2o3/2x5/3x5/4*b - gisdipthi
x5/2x3/2x5/3o5/4*b - [Grünbaumian]
x5/2x3/2o5/3x5/4*b - [Grünbaumian]
x5/2o3/2x5/3x5/4*b - (contains cadditradid)
o5/2x3/2x5/3x5/4*b - [Grünbaumian]
x5/2x3/2x5/3x5/4*b - [Grünbaumian]
x5/3x3/2o5/3o5/4*b - (contains cid)
x5/3o3/2x5/3o5/4*b - (contains gacid)
x5/3o3/2o5/3x5/4*b - geedatepthi
o5/3x3/2x5/3o5/4*b - [Grünbaumian]
o5/3x3/2o5/3x5/4*b - [Grünbaumian]
o5/3o3/2x5/3x5/4*b - gisdipthi
x5/3x3/2x5/3o5/4*b - [Grünbaumian]
x5/3x3/2o5/3x5/4*b - [Grünbaumian]
x5/3o3/2x5/3x5/4*b - (contains sicdatrid)
o5/3x3/2x5/3x5/4*b - [Grünbaumian]
x5/3x3/2x5/3x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5o3o5/3o5/2*b   (up)

  o5o3o5/3o5/2*b (µ=26) o5o3o5/2o5/3*b (µ=94) o5o3/2o5/2o5/2*b (µ=334) o5o3/2o5/3o5/3*b (µ=986)
quasiregulars
x5o3o5/3o5/2*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5x3o5/3o5/2*b - (contains gacid)
o5o3x5/3o5/2*b - (contains gacid)
o5o3o5/3x5/2*b - (contains "2gissid")
x5o3o5/2o5/3*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5x3o5/2o5/3*b - (contains gacid)
o5o3x5/2o5/3*b - (contains gacid)
o5o3o5/2x5/3*b - (contains "2gissid")
x5o3/2o5/2o5/2*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5x3/2o5/2o5/2*b - (contains gacid)
o5o3/2x5/2o5/2*b - (contains gacid)
o5o3/2o5/2x5/2*b - (contains "2gissid")
x5o3/2o5/3o5/3*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5x3/2o5/3o5/3*b - (contains gacid)
o5o3/2x5/3o5/3*b - (contains gacid)
o5o3/2o5/3x5/3*b - (contains "2gissid")
other
Wythoffians
x5x3o5/3o5/2*b - (contains gacid)
x5o3x5/3o5/2*b - (contains gacid)
x5o3o5/3x5/2*b - (contains "2gissid")
o5x3x5/3o5/2*b - (contains "2sidhei")
o5x3o5/3x5/2*b - [Grünbaumian]
o5o3x5/3x5/2*b - gidipthi
x5x3x5/3o5/2*b - (contains "2sidhei")
x5x3o5/3x5/2*b - [Grünbaumian]
x5o3x5/3x5/2*b - sik vipathi
o5x3x5/3x5/2*b - [Grünbaumian]
x5x3x5/3x5/2*b - [Grünbaumian]
x5x3o5/2o5/3*b - (contains gacid)
x5o3x5/2o5/3*b - (contains gacid)
x5o3o5/2x5/3*b - (contains "2gissid")
o5x3x5/2o5/3*b - (contains "2sidhei")
o5x3o5/2x5/3*b - wavathi
o5o3x5/2x5/3*b - [Grünbaumian]
x5x3x5/2o5/3*b - (contains "2sidhei")
x5x3o5/2x5/3*b - mipthi
x5o3x5/2x5/3*b - [Grünbaumian]
o5x3x5/2x5/3*b - [Grünbaumian]
x5x3x5/2x5/3*b - [Grünbaumian]
x5x3/2o5/2o5/2*b - (contains gacid)
x5o3/2x5/2o5/2*b - (contains gacid)
x5o3/2o5/2x5/2*b - (contains "2gissid")
o5x3/2x5/2o5/2*b - [Grünbaumian]
o5x3/2o5/2x5/2*b - [Grünbaumian]
o5o3/2x5/2x5/2*b - [Grünbaumian]
x5x3/2x5/2o5/2*b - [Grünbaumian]
x5x3/2o5/2x5/2*b - [Grünbaumian]
x5o3/2x5/2x5/2*b - [Grünbaumian]
o5x3/2x5/2x5/2*b - [Grünbaumian]
x5x3/2x5/2x5/2*b - [Grünbaumian]
x5x3/2o5/3o5/3*b - (contains gacid)
x5o3/2x5/3o5/3*b - (contains gacid)
x5o3/2o5/3x5/3*b - (contains "2gissid")
o5x3/2x5/3o5/3*b - [Grünbaumian]
o5x3/2o5/3x5/3*b - wavathi
o5o3/2x5/3x5/3*b - gidipthi
x5x3/2x5/3o5/3*b - [Grünbaumian]
x5x3/2o5/3x5/3*b - mipthi
x5o3/2x5/3x5/3*b - (contains cadditradid)
o5x3/2x5/3x5/3*b - [Grünbaumian]
x5x3/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o5/4o3o5/2o5/3*b (µ=1106) o5/4o3o5/3o5/2*b (µ=1174) o5/4o3/2o5/2o5/2*b (µ=1346) o5/4o3/2o5/3o5/3*b (µ=2134)
quasiregulars
x5/4o3o5/2o5/3*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5/4x3o5/2o5/3*b - (contains gacid)
o5/4o3x5/2o5/3*b - (contains gacid)
o5/4o3o5/2x5/3*b - (contains "2gissid")
x5/4o3o5/3o5/2*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5/4x3o5/3o5/2*b - (contains gacid)
o5/4o3x5/3o5/2*b - (contains gacid)
o5/4o3o5/3x5/2*b - (contains "2gissid")
x5/4o3/2o5/2o5/2*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5/4x3/2o5/2o5/2*b - (contains gacid)
o5/4o3/2x5/2o5/2*b - (contains gacid)
o5/4o3/2o5/2x5/2*b - (contains "2gissid")
x5/4o3/2o5/3o5/3*b - gahi+gohi (?)
   (contains f-gacid as verf)
o5/4x3/2o5/3o5/3*b - (contains gacid)
o5/4o3/2x5/3o5/3*b - (contains gacid)
o5/4o3/2o5/3x5/3*b - (contains "2gissid")
other
Wythoffians
x5/4x3o5/2o5/3*b - [Grünbaumian]
x5/4o3x5/2o5/3*b - (contains gacid)
x5/4o3o5/2x5/3*b - (contains "2gissid")
o5/4x3x5/2o5/3*b - (contains "2sidhei")
o5/4x3o5/2x5/3*b - wavathi
o5/4o3x5/2x5/3*b - [Grünbaumian]
x5/4x3x5/2o5/3*b - [Grünbaumian]
x5/4x3o5/2x5/3*b - [Grünbaumian]
x5/4o3x5/2x5/3*b - [Grünbaumian]
o5/4x3x5/2x5/3*b - [Grünbaumian]
x5/4x3x5/2x5/3*b - [Grünbaumian]
x5/4x3o5/3o5/2*b - [Grünbaumian]
x5/4o3x5/3o5/2*b - (contains gacid)
x5/4o3o5/3x5/2*b - (contains "2gissid")
o5/4x3x5/3o5/2*b - (contains "2sidhei")
o5/4x3o5/3x5/2*b - [Grünbaumian]
o5/4o3x5/3x5/2*b - gidipthi
x5/4x3x5/3o5/2*b - [Grünbaumian]
x5/4x3o5/3x5/2*b - [Grünbaumian]
x5/4o3x5/3x5/2*b - (contains gicdatrid)
o5/4x3x5/3x5/2*b - [Grünbaumian]
x5/4x3x5/3x5/2*b - [Grünbaumian]
x5/4x3/2o5/2o5/2*b - [Grünbaumian]
x5/4o3/2x5/2o5/2*b - (contains gacid)
x5/4o3/2o5/2x5/2*b - (contains "2gissid")
o5/4x3/2x5/2o5/2*b - [Grünbaumian]
o5/4x3/2o5/2x5/2*b - [Grünbaumian]
o5/4o3/2x5/2x5/2*b - [Grünbaumian]
x5/4x3/2x5/2o5/2*b - [Grünbaumian]
x5/4x3/2o5/2x5/2*b - [Grünbaumian]
x5/4o3/2x5/2x5/2*b - [Grünbaumian]
o5/4x3/2x5/2x5/2*b - [Grünbaumian]
x5/4x3/2x5/2x5/2*b - [Grünbaumian]
x5/4x3/2o5/3o5/3*b - [Grünbaumian]
x5/4o3/2x5/3o5/3*b - (contains gacid)
x5/4o3/2o5/3x5/3*b - (contains "2gissid")
o5/4x3/2x5/3o5/3*b - [Grünbaumian]
o5/4x3/2o5/3x5/3*b - wavathi
o5/4o3/2x5/3x5/3*b - gidipthi
x5/4x3/2x5/3o5/3*b - [Grünbaumian]
x5/4x3/2o5/3x5/3*b - [Grünbaumian]
x5/4o3/2x5/3x5/3*b - sik vipathi
o5/4x3/2x5/3x5/3*b - [Grünbaumian]
x5/4x3/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o3/2o5o5*b   (up)

  o5/2o3/2o5o5*b (µ=46) o5/3o3/2o5o5*b (µ=194) o5/2o3o5/4o5*b (µ=314) o5/2o3o5o5/4*b (µ=526)
quasiregulars
x5/2o3/2o5o5*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/2x3/2o5o5*b - (contains cid)
o5/2o3/2x5o5*b - (contains cid)
o5/2o3/2o5x5*b - (contains "2doe")
x5/3o3/2o5o5*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/3x3/2o5o5*b - (contains cid)
o5/3o3/2x5o5*b - (contains cid)
o5/3o3/2o5x5*b - (contains "2doe")
x5/2o3o5/4o5*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/2x3o5/4o5*b - (contains cid)
o5/2o3x5/4o5*b - (contains cid)
o5/2o3o5/4x5*b - (contains "2doe")
x5/2o3o5o5/4*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/2x3o5o5/4*b - (contains cid)
o5/2o3x5o5/4*b - (contains cid)
o5/2o3o5x5/4*b - (contains "2doe")
other
Wythoffians
x5/2x3/2o5o5*b - [Grünbaumian]
x5/2o3/2x5o5*b - (contains cid)
x5/2o3/2o5x5*b - (contains "2doe")
o5/2x3/2x5o5*b - [Grünbaumian]
o5/2x3/2o5x5*b - rawvathi
o5/2o3/2x5x5*b - sidipthi
x5/2x3/2x5o5*b - [Grünbaumian]
x5/2x3/2o5x5*b - [Grünbaumian]
x5/2o3/2x5x5*b - gik vipathi
o5/2x3/2x5x5*b - [Grünbaumian]
x5/2x3/2x5x5*b - [Grünbaumian]
x5/3x3/2o5o5*b - (contains cid)
x5/3o3/2x5o5*b - (contains cid)
x5/3o3/2o5x5*b - (contains "2doe")
o5/3x3/2x5o5*b - [Grünbaumian]
o5/3x3/2o5x5*b - rawvathi
o5/3o3/2x5x5*b - sidipthi
x5/3x3/2x5o5*b - [Grünbaumian]
x5/3x3/2o5x5*b - gapthi
x5/3o3/2x5x5*b - (contains sicdatrid)
o5/3x3/2x5x5*b - [Grünbaumian]
x5/3x3/2x5x5*b - [Grünbaumian]
x5/2x3o5/4o5*b - [Grünbaumian]
x5/2o3x5/4o5*b - (contains cid)
x5/2o3o5/4x5*b - (contains "2doe")
o5/2x3x5/4o5*b - (contains "2gidhei")
o5/2x3o5/4x5*b - rawvathi
o5/2o3x5/4x5*b - [Grünbaumian]
x5/2x3x5/4o5*b - [Grünbaumian]
x5/2x3o5/4x5*b - [Grünbaumian]
x5/2o3x5/4x5*b - [Grünbaumian]
o5/2x3x5/4x5*b - [Grünbaumian]
x5/2x3x5/4x5*b - [Grünbaumian]
x5/2x3o5o5/4*b - [Grünbaumian]
x5/2o3x5o5/4*b - (contains cid)
x5/2o3o5x5/4*b - (contains "2doe")
o5/2x3x5o5/4*b - (contains "2gidhei")
o5/2x3o5x5/4*b - [Grünbaumian]
o5/2o3x5x5/4*b - sidipthi
x5/2x3x5o5/4*b - [Grünbaumian]
x5/2x3o5x5/4*b - [Grünbaumian]
x5/2o3x5x5/4*b - (contains cadditradid)
o5/2x3x5x5/4*b - [Grünbaumian]
x5/2x3x5x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o5/3o3o5o5/4*b (µ=674) o5/3o3o5/4o5*b (µ=886) o5/2o3/2o5/4o5/4*b (µ=1994) o5/3o3/2o5/4o5/4*b (µ=2566)
quasiregulars
x5/3o3o5o5/4*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/3x3o5o5/4*b - (contains cid)
o5/3o3x5o5/4*b - (contains cid)
o5/3o3o5x5/4*b - (contains "2doe")
x5/3o3o5/4o5*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/3x3o5/4o5*b - (contains cid)
o5/3o3x5/4o5*b - (contains cid)
o5/3o3o5/4x5*b - (contains "2doe")
x5/2o3/2o5/4o5/4*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/2x3/2o5/4o5/4*b - (contains cid)
o5/2o3/2x5/4o5/4*b - (contains cid)
o5/2o3/2o5/4x5/4*b - (contains "2doe")
x5/3o3/2o5/4o5/4*b - gishi+gashi (?)
   (contains v-cid as verf)
o5/3x3/2o5/4o5/4*b - (contains cid)
o5/3o3/2x5/4o5/4*b - (contains cid)
o5/3o3/2o5/4x5/4*b - (contains "2doe")
other
Wythoffians
x5/3x3o5o5/4*b - (contains cid)
x5/3o3x5o5/4*b - (contains cid)
x5/3o3o5x5/4*b - (contains "2doe")
o5/3x3x5o5/4*b - (contains "2gidhei")
o5/3x3o5x5/4*b - [Grünbaumian]
o5/3o3x5x5/4*b - sidipthi
x5/3x3x5o5/4*b - (contains "2gidhei")
x5/3x3o5x5/4*b - [Grünbaumian]
x5/3o3x5x5/4*b - gik vipathi
o5/3x3x5x5/4*b - [Grünbaumian]
x5/3x3x5x5/4*b - [Grünbaumian]
x5/3x3o5/4o5*b - (contains cid)
x5/3o3x5/4o5*b - (contains cid)
x5/3o3o5/4x5*b - (contains "2doe")
o5/3x3x5/4o5*b - (contains "2gidhei")
o5/3x3o5/4x5*b - rawvathi
o5/3o3x5/4x5*b - [Grünbaumian]
x5/3x3x5/4o5*b - (contains "2gidhei")
x5/3x3o5/4x5*b - gapthi
x5/3o3x5/4x5*b - [Grünbaumian]
o5/3x3x5/4x5*b - [Grünbaumian]
x5/3x3x5/4x5*b - [Grünbaumian]
x5/2x3/2o5/4o5/4*b - [Grünbaumian]
x5/2o3/2x5/4o5/4*b - (contains cid)
x5/2o3/2o5/4x5/4*b - (contains "2doe")
o5/2x3/2x5/4o5/4*b - [Grünbaumian]
o5/2x3/2o5/4x5/4*b - [Grünbaumian]
o5/2o3/2x5/4x5/4*b - [Grünbaumian]
x5/2x3/2x5/4o5/4*b - [Grünbaumian]
x5/2x3/2o5/4x5/4*b - [Grünbaumian]
x5/2o3/2x5/4x5/4*b - [Grünbaumian]
o5/2x3/2x5/4x5/4*b - [Grünbaumian]
x5/2x3/2x5/4x5/4*b - [Grünbaumian]
x5/3x3/2o5/4o5/4*b - (contains cid)
x5/3o3/2x5/4o5/4*b - (contains cid)
x5/3o3/2o5/4x5/4*b - (contains "2doe")
o5/3x3/2x5/4o5/4*b - [Grünbaumian]
o5/3x3/2o5/4x5/4*b - [Grünbaumian]
o5/3o3/2x5/4x5/4*b - [Grünbaumian]
x5/3x3/2x5/4o5/4*b - [Grünbaumian]
x5/3x3/2o5/4x5/4*b - [Grünbaumian]
x5/3o3/2x5/4x5/4*b - [Grünbaumian]
o5/3x3/2x5/4x5/4*b - [Grünbaumian]
x5/3x3/2x5/4x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5o5/2o3/2o5/2*b   (up)

  o5o5/2o3/2o5/2*b (µ=152) o5o5/2o3o5/3*b (µ=208) o5o5/3o3/2o5/3*b (µ=872)
quasiregulars
x5o5/2o3/2o5/2*b - 2gaghi (?)
   (contains f-"2gissid" as verf)
o5x5/2o3/2o5/2*b - (contains "2gissid")
o5o5/2x3/2o5/2*b - (contains gacid)
x5o5/2o3o5/3*b - 2gaghi (?)
   (contains f-"2gissid" as verf)
o5x5/2o3o5/3*b - (contains "2gissid")
o5o5/2x3o5/3*b - (contains gacid)
o5o5/2o3x5/3*b - (contains gacid)
x5o5/3o3/2o5/3*b - 2gaghi (?)
   (contains f-"2gissid" as verf)
o5x5/3o3/2o5/3*b - (contains "2gissid")
o5o5/3x3/2o5/3*b - (contains gacid)
other
Wythoffians
x5x5/2o3/2o5/2*b - (contains "2gissid")
x5o5/2x3/2o5/2*b - (contains gacid)
o5x5/2x3/2o5/2*b - [Grünbaumian]
o5o5/2x3/2x5/2*b - [Grünbaumian]
x5x5/2x3/2o5/2*b - [Grünbaumian]
x5o5/2x3/2x5/2*b - [Grünbaumian]
o5x5/2x3/2x5/2*b - [Grünbaumian]
x5x5/2x3/2x5/2*b - [Grünbaumian]
x5x5/2o3o5/3*b - (contains "2gissid")
x5o5/2x3o5/3*b - (contains gacid)
x5o5/2o3x5/3*b - (contains gacid)
o5x5/2x3o5/3*b - [Grünbaumian]
o5x5/2o3x5/3*b - gwavathi
o5o5/2x3x5/3*b - (contains "2sidhei")
x5x5/2x3o5/3*b - [Grünbaumian]
x5x5/2o3x5/3*b - sipthi
x5o5/2x3x5/3*b - (contains cadditradid)
o5x5/2x3x5/3*b - [Grünbaumian]
x5x5/2x3x5/3*b - [Grünbaumian]
x5x5/3o3/2o5/3*b - (contains "2gissid")
x5o5/3x3/2o5/3*b - (contains gacid)
o5x5/3x3/2o5/3*b - gwavathi
o5o5/3x3/2x5/3*b - [Grünbaumian]
x5x5/3x3/2o5/3*b - sipthi
x5o5/3x3/2x5/3*b - [Grünbaumian]
o5x5/3x3/2x5/3*b - [Grünbaumian]
x5x5/3x3/2x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o5/4o5/2o3o5/3*b (µ=992) o5/4o5/2o3/2o5/2*b (µ=1528) o5/4o5/3o3/2o5/3*b (µ=2248)
quasiregulars
x5/4o5/2o3o5/3*b - 2gaghi (?)
   (contains f-"2gissid" as verf)
o5/4x5/2o3o5/3*b - (contains "2gissid")
o5/4o5/2x3o5/3*b - (contains gacid)
o5/4o5/2o3x5/3*b - (contains gacid)
x5/4o5/2o3/2o5/2*b - 2gaghi (?)
   (contains f-"2gissid" as verf)
o5/4x5/2o3/2o5/2*b - (contains "2gissid")
o5/4o5/2x3/2o5/2*b - (contains gacid)
x5/4o5/3o3/2o5/3*b - 2gaghi (?)
   (contains f-"2gissid" as verf)
o5/4x5/3o3/2o5/3*b - (contains "2gissid")
o5/4o5/3x3/2o5/3*b - (contains gacid)
other
Wythoffians
x5/4x5/2o3o5/3*b - [Grünbaumian]
x5/4o5/2x3o5/3*b - (contains gacid)
x5/4o5/2o3x5/3*b - (contains gacid)
o5/4x5/2x3o5/3*b - [Grünbaumian]
o5/4x5/2o3x5/3*b - gwavathi
o5/4o5/2x3x5/3*b - (contains "2sidhei")
x5/4x5/2x3o5/3*b - [Grünbaumian]
x5/4x5/2o3x5/3*b - [Grünbaumian]
x5/4o5/2x3x5/3*b - 
o5/4x5/2x3x5/3*b - [Grünbaumian]
x5/4x5/2x3x5/3*b - [Grünbaumian]
x5/4x5/2o3/2o5/2*b - [Grünbaumian]
x5/4o5/2x3/2o5/2*b - (contains gacid)
o5/4x5/2x3/2o5/2*b - [Grünbaumian]
o5/4o5/2x3/2x5/2*b - [Grünbaumian]
x5/4x5/2x3/2o5/2*b - [Grünbaumian]
x5/4o5/2x3/2x5/2*b - [Grünbaumian]
o5/4x5/2x3/2x5/2*b - [Grünbaumian]
x5/4x5/2x3/2x5/2*b - [Grünbaumian]
x5/4x5/3o3/2o5/3*b - [Grünbaumian]
x5/4o5/3x3/2o5/3*b - (contains gacid)
o5/4x5/3x3/2o5/3*b - gwavathi
o5/4o5/3x3/2x5/3*b - [Grünbaumian]
x5/4x5/3x3/2o5/3*b - [Grünbaumian]
x5/4o5/3x3/2x5/3*b - [Grünbaumian]
o5/4x5/3x3/2x5/3*b - [Grünbaumian]
x5/4x5/3x3/2x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o5o3/2o5*b   (up)

  o5/2o5o3/2o5*b (µ=8) o5/3o5o3/2o5*b (µ=232) o5/2o5o3o5/4*b (µ=352)
quasiregulars
x5/2o5o3/2o5*b - 2sishi (?)
   (contains v-"2doe" as verf)
o5/2x5o3/2o5*b - (contains "2doe")
o5/2o5x3/2o5*b - (contains cid)
x5/3o5o3/2o5*b - 2sishi (?)
   (contains v-"2doe" as verf)
o5/3x5o3/2o5*b - (contains "2doe")
o5/3o5x3/2o5*b - (contains cid)
x5/2o5o3o5/4*b - 2sishi (?)
   (contains v-"2doe" as verf)
o5/2x5o3o5/4*b - (contains "2doe")
o5/2o5x3o5/4*b - (contains cid)
o5/2o5o3x5/4*b - (contains cid)
other
Wythoffians
x5/2x5o3/2o5*b - [Grünbaumian]
x5/2o5x3/2o5*b - (contains cid)
o5/2x5x3/2o5*b - srawvathi
o5/2o5x3/2x5*b - [Grünbaumian]
x5/2x5x3/2o5*b - [Grünbaumian]
x5/2o5x3/2x5*b - [Grünbaumian]
o5/2x5x3/2x5*b - [Grünbaumian]
x5/2x5x3/2x5*b - [Grünbaumian]
x5/3x5o3/2o5*b - (contains "2doe")
x5/3o5x3/2o5*b - (contains cid)
o5/3x5x3/2o5*b - srawvathi
o5/3o5x3/2x5*b - [Grünbaumian]
x5/3x5x3/2o5*b - gipthi
x5/3o5x3/2x5*b - [Grünbaumian]
o5/3x5x3/2x5*b - [Grünbaumian]
x5/3x5x3/2x5*b - [Grünbaumian]
x5/2x5o3o5/4*b - [Grünbaumian]
x5/2o5x3o5/4*b - (contains cid)
x5/2o5o3x5/4*b - (contains cid)
o5/2x5x3o5/4*b - srawvathi
o5/2x5o3x5/4*b - [Grünbaumian]
o5/2o5x3x5/4*b - (contains "2gidhei")
x5/2x5x3o5/4*b - [Grünbaumian]
x5/2x5o3x5/4*b - [Grünbaumian]
x5/2o5x3x5/4*b - (contains cadditradid)
o5/2x5x3x5/4*b - [Grünbaumian]
x5/2x5x3x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o5/3o5o3o5/4*b (µ=848) o5/2o5/4o3/2o5/4*b (µ=2168) o5/3o5/4o3/2o5/4*b (µ=2392)
quasiregulars
x5/3o5o3o5/4*b - 2sishi (?)
   (contains v-"2doe" as verf)
o5/3x5o3o5/4*b - (contains "2doe")
o5/3o5x3o5/4*b - (contains cid)
o5/3o5o3x5/4*b - (contains cid)
x5/2o5/4o3/2o5/4*b - 2sishi (?)
   (contains v-"2doe" as verf)
o5/2x5/4o3/2o5/4*b - (contains "2doe")
o5/2o5/4x3/2o5/4*b - (contains cid)
x5/3o5/4o3/2o5/4*b - 2sishi (?)
   (contains v-"2doe" as verf)
o5/3x5/4o3/2o5/4*b - (contains "2doe")
o5/3o5/4x3/2o5/4*b - (contains cid)
other
Wythoffians
x5/3x5o3o5/4*b - (contains "2doe")
x5/3o5x3o5/4*b - (contains cid)
x5/3o5o3x5/4*b - (contains cid)
o5/3x5x3o5/4*b - srawvathi
o5/3x5o3x5/4*b - [Grünbaumian]
o5/3o5x3x5/4*b - (contains "2gidhei")
x5/3x5x3o5/4*b - gipthi
x5/3x5o3x5/4*b - [Grünbaumian]
x5/3o5x3x5/4*b - (contains cadditradid)
o5/3x5x3x5/4*b - [Grünbaumian]
x5/3x5x3x5/4*b - [Grünbaumian]
x5/2x5/4o3/2o5/4*b - [Grünbaumian]
x5/2o5/4x3/2o5/4*b - (contains cid)
o5/2x5/4x3/2o5/4*b - [Grünbaumian]
o5/2o5/4x3/2x5/4*b - [Grünbaumian]
x5/2x5/4x3/2o5/4*b - [Grünbaumian]
x5/2o5/4x3/2x5/4*b - [Grünbaumian]
o5/2x5/4x3/2x5/4*b - [Grünbaumian]
x5/2x5/4x3/2x5/4*b - [Grünbaumian]
x5/3x5/4o3/2o5/4*b - (contains "2doe")
x5/3o5/4x3/2o5/4*b - (contains cid)
o5/3x5/4x3/2o5/4*b - [Grünbaumian]
o5/3o5/4x3/2x5/4*b - [Grünbaumian]
x5/3x5/4x3/2o5/4*b - [Grünbaumian]
x5/3o5/4x3/2x5/4*b - [Grünbaumian]
o5/3x5/4x3/2x5/4*b - [Grünbaumian]
x5/3x5/4x3/2x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5o5/2o5/2o5/2*b   (up)

  o5o5/2o5/2o5/2*b (µ=12) o5o5/2o5/3o5/3*b (µ=348) o5/4o5/2o5/2o5/2*b (µ=708)
quasiregulars
x5o5/2o5/2o5/2*b - 2gohi (?)
   (contains f-"2sissid" as verf)
o5x5/2o5/2o5/2*b - (contains "2sissid")
o5o5/2x5/2o5/2*b - (contains "2sissid")
x5o5/2o5/3o5/3*b - 2gohi (?)
   (contains f-"2sissid" as verf)
o5x5/2o5/3o5/3*b - (contains "2sissid")
o5o5/2x5/3o5/3*b - (contains "2sissid")
o5o5/2o5/3x5/3*b - (contains "2sissid")
x5/4o5/2o5/2o5/2*b - 2gohi (?)
   (contains f-"2sissid" as verf)
o5/4x5/2o5/2o5/2*b - (contains "2sissid")
o5/4o5/2x5/2o5/2*b - (contains "2sissid")
other
Wythoffians
x5x5/2o5/2o5/2*b - (contains "2sissid")
x5o5/2x5/2o5/2*b - (contains "2sissid")
o5x5/2x5/2o5/2*b - [Grünbaumian]
o5o5/2x5/2x5/2*b - [Grünbaumian]
x5x5/2x5/2o5/2*b - [Grünbaumian]
x5o5/2x5/2x5/2*b - [Grünbaumian]
o5x5/2x5/2x5/2*b - [Grünbaumian]
x5x5/2x5/2x5/2*b - [Grünbaumian]
x5x5/2o5/3o5/3*b - (contains "2sissid")
x5o5/2x5/3o5/3*b - (contains "2sissid")
x5o5/2o5/3x5/3*b - (contains "2sissid")
o5x5/2x5/3o5/3*b - [Grünbaumian]
o5x5/2o5/3x5/3*b - (contains "2gidhid")
o5o5/2x5/3x5/3*b - (contains "2gidhid")
x5x5/2x5/3o5/3*b - [Grünbaumian]
x5x5/2o5/3x5/3*b - (contains "2gidhid")
x5o5/2x5/3x5/3*b - (contains cadditradid)
o5x5/2x5/3x5/3*b - [Grünbaumian]
x5x5/2x5/3x5/3*b - [Grünbaumian]
x5/4x5/2o5/2o5/2*b - [Grünbaumian]
x5/4o5/2x5/2o5/2*b - (contains "2sissid")
o5/4x5/2x5/2o5/2*b - [Grünbaumian]
o5/4o5/2x5/2x5/2*b - [Grünbaumian]
x5/4x5/2x5/2o5/2*b - [Grünbaumian]
x5/4o5/2x5/2x5/2*b - [Grünbaumian]
o5/4x5/2x5/2x5/2*b - [Grünbaumian]
x5/4x5/2x5/2x5/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o5o5/3o5/2o5/3*b (µ=732) o5/4o5/3o5/2o5/3*b (µ=1428) o5/4o5/2o5/3o5/3*b (µ=1812)
quasiregulars
x5o5/3o5/2o5/3*b - 2gohi (?)
   (contains f-"2sissid" as verf)
o5x5/3o5/2o5/3*b - (contains "2sissid")
o5o5/3x5/2o5/3*b - (contains "2sissid")
x5/4o5/3o5/2o5/3*b - 2gohi (?)
   (contains f-"2sissid" as verf)
o5/4x5/3o5/2o5/3*b - (contains "2sissid")
o5/4o5/3x5/2o5/3*b - (contains "2sissid")
x5/4o5/2o5/3o5/3*b - 2gohi (?)
   (contains f-"2sissid" as verf)
o5/4x5/2o5/3o5/3*b - (contains "2sissid")
o5/4o5/2x5/3o5/3*b - (contains "2sissid")
o5/4o5/2o5/3x5/3*b - (contains "2sissid")
other
Wythoffians
x5x5/3o5/2o5/3*b - (contains "2sissid")
x5o5/3x5/2o5/3*b - (contains "2sissid")
o5x5/3x5/2o5/3*b - (contains "2gidhid")
o5o5/3x5/2x5/3*b - [Grünbaumian]
x5x5/3x5/2o5/3*b - (contains "2gidhid")
x5o5/3x5/2x5/3*b - [Grünbaumian]
o5x5/3x5/2x5/3*b - [Grünbaumian]
x5x5/3x5/2x5/3*b - [Grünbaumian]
x5/4x5/3o5/2o5/3*b - [Grünbaumian]
x5/4o5/3x5/2o5/3*b - (contains "2sissid")
o5/4x5/3x5/2o5/3*b - (contains "2gidhid")
o5/4o5/3x5/2x5/3*b - [Grünbaumian]
x5/4x5/3x5/2o5/3*b - [Grünbaumian]
x5/4o5/3x5/2x5/3*b - [Grünbaumian]
o5/4x5/3x5/2x5/3*b - [Grünbaumian]
x5/4x5/3x5/2x5/3*b - [Grünbaumian]
x5/4x5/2o5/3o5/3*b - [Grünbaumian]
x5/4o5/2x5/3o5/3*b - (contains "2sissid")
x5/4o5/2o5/3x5/3*b - (contains "2sissid")
o5/4x5/2x5/3o5/3*b - [Grünbaumian]
o5/4x5/2o5/3x5/3*b - (contains "2gidhid")
o5/4o5/2x5/3x5/3*b - (contains "2gidhid")
x5/4x5/2x5/3o5/3*b - [Grünbaumian]
x5/4x5/2o5/3x5/3*b - [Grünbaumian]
x5/4o5/2x5/3x5/3*b - (contains cadditradid)
o5/4x5/2x5/3x5/3*b - [Grünbaumian]
x5/4x5/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o5o5/4o5*b   (up)

  o5/2o5o5/4o5*b (µ=132) o5/2o5o5o5/4*b (µ=228) o5/3o5o5o5/4*b (µ=492)
quasiregulars
x5/2o5o5/4o5*b - 2gashi (?)
   (contains v-"2gad" as verf)
o5/2x5o5/4o5*b - (contains "2gad")
o5/2o5x5/4o5*b - (contains "2gad")
x5/2o5o5o5/4*b - 2gashi (?)
   (contains v-"2gad" as verf)
o5/2x5o5o5/4*b - (contains "2gad")
o5/2o5x5o5/4*b - (contains "2gad")
o5/2o5o5x5/4*b - (contains "2gad")
x5/3o5o5o5/4*b - 2gashi (?)
   (contains v-"2gad" as verf)
o5/3x5o5o5/4*b - (contains "2gad")
o5/3o5x5o5/4*b - (contains "2gad")
o5/3o5o5x5/4*b - (contains "2gad")
other
Wythoffians
x5/2x5o5/4o5*b - [Grünbaumian]
x5/2o5x5/4o5*b - (contains "2gad")
o5/2x5x5/4o5*b - (contains "2sidhid")
o5/2o5x5/4x5*b - [Grünbaumian]
x5/2x5x5/4o5*b - [Grünbaumian]
x5/2o5x5/4x5*b - [Grünbaumian]
o5/2x5x5/4x5*b - [Grünbaumian]
x5/2x5x5/4x5*b - [Grünbaumian]
x5/2x5o5o5/4*b - [Grünbaumian]
x5/2o5x5o5/4*b - (contains "2gad")
x5/2o5o5x5/4*b - (contains "2gad")
o5/2x5x5o5/4*b - (contains "2sidhid")
o5/2x5o5x5/4*b - [Grünbaumian]
o5/2o5x5x5/4*b - (contains "2sidhid")
x5/2x5x5o5/4*b - [Grünbaumian]
x5/2x5o5x5/4*b - [Grünbaumian]
x5/2o5x5x5/4*b - (contains cadditradid)
o5/2x5x5x5/4*b - [Grünbaumian]
x5/2x5x5x5/4*b - [Grünbaumian]
x5/3x5o5o5/4*b - (contains "2gad")
x5/3o5x5o5/4*b - (contains "2gad")
x5/3o5o5x5/4*b - (contains "2gad")
o5/3x5x5o5/4*b - (contains "2sidhid")
o5/3x5o5x5/4*b - [Grünbaumian]
o5/3o5x5x5/4*b - (contains "2sidhid")
x5/3x5x5o5/4*b - (contains "2sidhid")
x5/3x5o5x5/4*b - [Grünbaumian]
x5/3o5x5x5/4*b - (contains cadditradid)
o5/3x5x5x5/4*b - [Grünbaumian]
x5/3x5x5x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o5/3o5o5/4o5*b (µ=588) o5/2o5/4o5/4o5/4*b (µ=2292) o5/3o5/4o5/4o5/4*b (µ=2748)
quasiregulars
x5/3o5o5/4o5*b - 2gashi (?)
   (contains v-"2gad" as verf)
o5/3x5o5/4o5*b - (contains "2gad")
o5/3o5x5/4o5*b - (contains "2gad")
x5/2o5/4o5/4o5/4*b - 2gashi (?)
   (contains v-"2gad" as verf)
o5/2x5/4o5/4o5/4*b - (contains "2gad")
o5/2o5/4x5/4o5/4*b - (contains "2gad")
x5/3o5/4o5/4o5/4*b - 2gashi (?)
   (contains v-"2gad" as verf)
o5/3x5/4o5/4o5/4*b - (contains "2gad")
o5/3o5/4x5/4o5/4*b - (contains "2gad")
other
Wythoffians
x5/3x5o5/4o5*b - (contains "2gad")
x5/3o5x5/4o5*b - (contains "2gad")
o5/3x5x5/4o5*b - (contains "2sidhid")
o5/3o5x5/4x5*b - [Grünbaumian]
x5/3x5x5/4o5*b - (contains "2sidhid")
x5/3o5x5/4x5*b - [Grünbaumian]
o5/3x5x5/4x5*b - [Grünbaumian]
x5/3x5x5/4x5*b - [Grünbaumian]
x5/2x5/4o5/4o5/4*b - [Grünbaumian]
x5/2o5/4x5/4o5/4*b - (contains "2gad")
o5/2x5/4x5/4o5/4*b - [Grünbaumian]
o5/2o5/4x5/4x5/4*b - [Grünbaumian]
x5/2x5/4x5/4o5/4*b - [Grünbaumian]
x5/2o5/4x5/4x5/4*b - [Grünbaumian]
o5/2x5/4x5/4x5/4*b - [Grünbaumian]
x5/2x5/4x5/4x5/4*b - [Grünbaumian]
x5/3x5/4o5/4o5/4*b - (contains "2gad")
x5/3o5/4x5/4o5/4*b - (contains "2gad")
o5/3x5/4x5/4o5/4*b - [Grünbaumian]
o5/3o5/4x5/4x5/4*b - [Grünbaumian]
x5/3x5/4x5/4o5/4*b - [Grünbaumian]
x5/3o5/4x5/4x5/4*b - [Grünbaumian]
o5/3x5/4x5/4x5/4*b - [Grünbaumian]
x5/3x5/4x5/4x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


loop ones
o-P-o-Q-o-R-o-S-*a   =

  o---P---o
  |       |
  S       Q
  |       |
  o---R---o

Demi-Tesseractic ("demi-tessic") Symmetries   (up)

  o3o3o3o3/2*a (µ=4) o3o3/2o3/2o3/2*a (µ=20)
quasiregulars
x3o3o3o3/2*a - 2tho (?)
o3x3o3o3/2*a - 2tho (?)
x3o3/2o3/2o3/2*a - 2tho (?)
o3o3/2x3/2o3/2*a - 2tho (?)
other
Wythoffians
x3x3o3o3/2*a - firt
x3o3x3o3/2*a - 2ratho (?)
x3o3o3x3/2*a - [Grünbaumian]
o3x3x3o3/2*a - firt
x3x3x3o3/2*a - 2titho (?))
x3x3o3x3/2*a - [Grünbaumian]
x3x3x3x3/2*a - [Grünbaumian]
x3x3/2o3/2o3/2*a - firt
x3o3/2x3/2o3/2*a - 2ratho (?)
x3o3/2o3/2x3/2*a - [Grünbaumian]
o3o3/2x3/2x3/2*a - [Grünbaumian]
x3x3/2x3/2o3/2*a - [Grünbaumian]
x3o3/2x3/2x3/2*a - [Grünbaumian]
x3x3/2x3/2x3/2*a - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...


Icositetrachoral ("icoic") Symmetries   (up)

  o3o4o3/2o4*a (µ=10) o3o4o3o4/3*a (µ=14) o3/2o4o3/2o4/3*a (µ=110) o3o4/3o3/2o4/3*a (µ=154)
quasiregulars
x3o4o3/2o4*a - ico+gico+24co (?)
o3o4x3/2o4*a - ico+gico+24co (?)
x3o4o3o4/3*a - ico+gico+24co (?)
o3x4o3o4/3*a - ico+gico+24co (?)
x3/2o4o3/2o4/3*a - ico+gico+24co (?)
o3/2x4o3/2o4/3*a - ico+gico+24co (?)
x3o4/3o3/2o4/3*a - ico+gico+24co (?)
o3o4/3x3/2o4/3*a - ico+gico+24co (?)
other
Wythoffians
x3x4o3/2o4*a - 2frico (?)
x3o4x3/2o4*a - rafficdi
x3o4o3/2x4*a - siddic
o3o4x3/2x4*a - [Grünbaumian]
x3x4x3/2o4*a - guti
x3o4x3/2x4*a - [Grünbaumian]
x3x4x3/2x4*a - [Grünbaumian]
x3x4o3o4/3*a - 2frico (?)
x3o4x3o4/3*a - rafficdi
x3o4o3x4/3*a - giddic
o3x4x3o4/3*a - siddic
x3x4x3o4/3*a - guti
x3x4o3x4/3*a - suti
x3x4x3x4/3*a - doc
x3/2x4o3/2o4/3*a - [Grünbaumian]
x3/2o4x3/2o4/3*a - rafficdi
x3/2o4o3/2x4/3*a - giddic
o3/2x4x3/2o4/3*a - siddic
x3/2x4x3/2o4/3*a - [Grünbaumian]
x3/2x4o3/2x4/3*a - [Grünbaumian]
x3/2x4x3/2x4/3*a - [Grünbaumian]
x3x4/3o3/2o4/3*a - 2frico (?)
x3o4/3x3/2o4/3*a - rafficdi
x3o4/3o3/2x4/3*a - giddic
o3o4/3x3/2x4/3*a - [Grünbaumian]
x3x4/3x3/2o4/3*a - suti
x3o4/3x3/2x4/3*a - [Grünbaumian]
x3x4/3x3/2x4/3*a - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o3/2o3o5*a   (up)

  o3o3/2o3o5*a (µ=14) o3o3o3/2o5*a (µ=106) o3o3o3o5/4*a (µ=494)
quasiregulars
x3o3/2o3o5*a - sirdtaxady
o3x3/2o3o5*a - gidtixhi+dox (?)
x3o3o3/2o5*a - sirdtaxady
o3x3o3/2o5*a - gidtixhi+dox (?)
o3o3x3/2o5*a - gidtixhi+dox (?)
o3o3o3/2x5*a - sirdtaxady
x3o3o3o5/4*a - sirdtaxady
o3x3o3o5/4*a - gidtixhi+dox (?)
other
Wythoffians
x3x3/2o3o5*a - gadixady
x3o3/2x3o5*a - (contains "2thah")
x3o3/2o3x5*a - 2fry (?)
o3x3/2x3o5*a - [Grünbaumian]
x3x3/2x3o5*a - [Grünbaumian]
x3x3/2o3x5*a - (contains "2thah")
x3x3/2x3x5*a - [Grünbaumian]
x3x3o3/2o5*a - gadixady
x3o3x3/2o5*a - (contains gicdatrid)
x3o3o3/2x5*a - 2fry (?)
o3x3x3/2o5*a - 2prapvixhi (?)
o3x3o3/2x5*a - (contains "2thah")
o3o3x3/2x5*a - [Grünbaumian]
x3x3x3/2o5*a - (contains gicdatrid)
x3x3o3/2x5*a - (contains "2thah")
x3o3x3/2x5*a - [Grünbaumian]
o3x3x3/2x5*a - [Grünbaumian]
x3x3x3/2x5*a - [Grünbaumian]
x3x3o3o5/4*a - gadixady
x3o3x3o5/4*a - (contains gicdatrid)
x3o3o3x5/4*a - [Grünbaumian]
o3x3x3o5/4*a - 2prapvixhi (?)
x3x3x3o5/4*a - (contains gicdatrid)
x3x3o3x5/4*a - [Grünbaumian]
x3x3x3x5/4*a - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o3/2o3/2o3/2o5*a (µ=1214) o3/2o3o3/2o5/4*a (µ=1694) o3o3/2o3/2o5/4*a (µ=1786)
quasiregulars
x3/2o3/2o3/2o5*a - sirdtaxady
o3/2x3/2o3/2o5*a - gidtixhi+dox (?)
x3/2o3o3/2o5/4*a - sirdtaxady
o3/2x3o3/2o5/4*a - gidtixhi+dox (?)
x3o3/2o3/2o5/4*a - sirdtaxady
o3x3/2o3/2o5/4*a - gidtixhi+dox (?)
o3o3/2x3/2o5/4*a - gidtixhi+dox (?)
o3o3/2o3/2x5/4*a - sirdtaxady
other
Wythoffians
x3/2x3/2o3/2o5*a - [Grünbaumian]
x3/2o3/2x3/2o5*a - (contains gicdatrid)
x3/2o3/2o3/2x5*a - 2fry (?)
o3/2x3/2x3/2o5*a - [Grünbaumian]
x3/2x3/2x3/2o5*a - [Grünbaumian]
x3/2x3/2o3/2x5*a - [Grünbaumian]
x3/2x3/2x3/2x5*a - [Grünbaumian]
x3/2x3o3/2o5/4*a - [Grünbaumian]
x3/2o3x3/2o5/4*a - (contains "2thah")
x3/2o3o3/2x5/4*a - [Grünbaumian]
o3/2x3x3/2o5/4*a - 2prapvixhi (?)
x3/2x3x3/2o5/4*a - [Grünbaumian]
x3/2x3o3/2x5/4*a - [Grünbaumian]
x3/2x3x3/2x5/4*a - [Grünbaumian]
x3x3/2o3/2o5/4*a - gadixady
x3o3/2x3/2o5/4*a - (contains "2thah")
x3o3/2o3/2x5/4*a - [Grünbaumian]
o3x3/2x3/2o5/4*a - [Grünbaumian]
o3x3/2o3/2x5/4*a - (contains gicdatrid)
o3o3/2x3/2x5/4*a - [Grünbaumian]
x3x3/2x3/2o5/4*a - [Grünbaumian]
x3x3/2o3/2x5/4*a - [Grünbaumian]
x3o3/2x3/2x5/4*a - [Grünbaumian]
o3x3/2x3/2x5/4*a - [Grünbaumian]
x3x3/2x3/2x5/4*a - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o3o5/2*a   (up)

  o3o3o3o5/2*a (µ=34) o3o3o3/2o5/3*a (µ=566) o3o3/2o3/2o5/2*a (µ=806)
quasiregulars
x3o3o3o5/2*a - gadtaxady
o3x3o3o5/2*a - sidtixhi+dox (?)
x3o3o3/2o5/3*a - gadtaxady
o3x3o3/2o5/3*a - sidtixhi+dox (?)
o3o3x3/2o5/3*a - sidtixhi+dox (?)
o3o3o3/2x5/3*a - gadtaxady
x3o3/2o3/2o5/2*a - gadtaxady
o3x3/2o3/2o5/2*a - sidtixhi+dox (?)
o3o3/2x3/2o5/2*a - sidtixhi+dox (?)
o3o3/2o3/2x5/2*a - gadtaxady
other
Wythoffians
x3x3o3o5/2*a - sadixady
x3o3x3o5/2*a - (contains sicdatrid)
x3o3o3x5/2*a - [Grünbaumian]
o3x3x3o5/2*a - 2papvixhi (?)
x3x3x3o5/2*a - (contains sicdatrid)
x3x3o3x5/2*a - [Grünbaumian]
x3x3x3x5/2*a - [Grünbaumian]
x3x3o3/2o5/3*a - sadixady
x3o3x3/2o5/3*a - (contains sicdatrid)
x3o3o3/2x5/3*a - 2firgogishi (?)
o3x3x3/2o5/3*a - 2papvixhi (?)
o3x3o3/2x5/3*a - (contains "2thah")
o3o3x3/2x5/3*a - [Grünbaumian]
x3x3x3/2o5/3*a - (contains sicdatrid)
x3x3o3/2x5/3*a - (contains "2thah")
x3o3x3/2x5/3*a - [Grünbaumian]
o3x3x3/2x5/3*a - [Grünbaumian]
x3x3x3/2x5/3*a - [Grünbaumian]
x3x3/2o3/2o5/2*a - sadixady
x3o3/2x3/2o5/2*a - (contains "2thah")
x3o3/2o3/2x5/2*a - [Grünbaumian]
o3x3/2x3/2o5/2*a - [Grünbaumian]
o3x3/2o3/2x5/2*a - (contains sicdatrid)
o3o3/2x3/2x5/2*a - [Grünbaumian]
x3x3/2x3/2o5/2*a - [Grünbaumian]
x3x3/2o3/2x5/2*a - [Grünbaumian]
x3o3/2x3/2x5/2*a - [Grünbaumian]
o3x3/2x3/2x5/2*a - [Grünbaumian]
x3x3/2x3/2x5/2*a - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
  o3o3/2o3o5/3*a (µ=994) o3/2o3o3/2o5/2*a (µ=1254) o3/2o3/2o3/2o5/3*a (µ=2194)
quasiregulars
x3o3/2o3o5/3*a - gadtaxady
o3x3/2o3o5/3*a - sidtixhi+dox (?)
x3/2o3o3/2o5/2*a - gadtaxady
o3/2x3o3/2o5/2*a - sidtixhi+dox (?)
x3/2o3/2o3/2o5/3*a - gadtaxady
o3/2x3/2o3/2o5/3*a - sidtixhi+dox (?)
other
Wythoffians
x3x3/2o3o5/3*a - sadixady
x3o3/2x3o5/3*a - (contains "2thah")
x3o3/2o3x5/3*a - 2firgogishi (?)
o3x3/2x3o5/3*a - [Grünbaumian]
x3x3/2x3o5/3*a - [Grünbaumian]
x3x3/2o3x5/3*a - (contains "2thah")
x3x3/2x3x5/3*a - [Grünbaumian]
x3/2x3o3/2o5/2*a - [Grünbaumian]
x3/2o3x3/2o5/2*a - (contains "2thah")
x3/2o3o3/2x5/2*a - [Grünbaumian]
o3/2x3x3/2o5/2*a - 2papvixhi (?)
x3/2x3x3/2o5/2*a - [Grünbaumian]
x3/2x3o3/2x5/2*a - [Grünbaumian]
x3/2x3x3/2x5/2*a - [Grünbaumian]
x3/2x3/2o3/2o5/3*a - [Grünbaumian]
x3/2o3/2x3/2o5/3*a - (contains sicdatrid)
x3/2o3/2o3/2x5/3*a - 2firgogishi (?)
o3/2x3/2x3/2o5/3*a - [Grünbaumian]
x3/2x3/2x3/2o5/3*a - [Grünbaumian]
x3/2x3/2o3/2x5/3*a - [Grünbaumian]
x3/2x3/2x3/2x5/3*a - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o5o3/2o5*a   (up)

  o3o5o3/2o5*a (µ=44) o3o5o3o5/4*a (µ=76) o3/2o5o3/2o5/4*a (µ=1276) o3o5/4o3/2o5/4*a (µ=2204)
quasiregulars
x3o5o3/2o5*a - fix+gahi+120id (?)
o3o5x3/2o5*a - fix+gahi+120id (?)
x3o5o3o5/4*a - fix+gahi+120id (?)
o3x5o3o5/4*a - fix+gahi+120id (?)
x3/2o5o3/2o5/4*a - fix+gahi+120id (?)
o3/2x5o3/2o5/4*a - fix+gahi+120id (?)
x3o5/4o3/2o5/4*a - fix+gahi+120id (?)
o3o5/4x3/2o5/4*a - fix+gahi+120id (?)
other
Wythoffians
x3x5o3/2o5*a - 2firsashi (?)
x3o5x3/2o5*a - (contains gicdatrid)
x3o5o3/2x5*a - 2sprapivady (?)
o3o5x3/2x5*a - [Grünbaumian]
x3x5x3/2o5*a - (contains gicdatrid)
x3o5x3/2x5*a - [Grünbaumian]
x3x5x3/2x5*a - [Grünbaumian]
x3x5o3o5/4*a - 2firsashi (?)
x3o5x3o5/4*a - (contains gicdatrid)
x3o5o3x5/4*a - [Grünbaumian]
o3x5x3o5/4*a - 2sprapivady (?)
x3x5x3o5/4*a - (contains gicdatrid)
x3x5o3x5/4*a - [Grünbaumian]
x3x5x3x5/4*a - [Grünbaumian]
x3/2x5o3/2o5/4*a - [Grünbaumian]
x3/2o5x3/2o5/4*a - (contains gicdatrid)
x3/2o5o3/2x5/4*a - [Grünbaumian]
o3/2x5x3/2o5/4*a - 2sprapivady (?)
x3/2x5x3/2o5/4*a - [Grünbaumian]
x3/2x5o3/2x5/4*a - [Grünbaumian]
x3/2x5x3/2x5/4*a - [Grünbaumian]
x3x5/4o3/2o5/4*a - 2firsashi (?)
x3o5/4x3/2o5/4*a - (contains gicdatrid)
x3o5/4o3/2x5/4*a - [Grünbaumian]
o3o5/4x3/2x5/4*a - [Grünbaumian]
x3x5/4x3/2o5/4*a - [Grünbaumian]
x3o5/4x3/2x5/4*a - [Grünbaumian]
x3x5/4x3/2x5/4*a - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o5/2o3o5/3*a   (up)

  o3o5/2o3o5/3*a (µ=364) o3o5/2o3/2o5/2*a (µ=476) o3o5/3o3/2o5/3*a (µ=1196) o3/2o5/2o3/2o5/3*a (µ=1564)
quasiregulars
x3o5/2o3o5/3*a - gofix+gishi+120gid (?)
o3x5/2o3o5/3*a - gofix+gishi+120gid (?)
x3o5/2o3/2o5/2*a - gofix+gishi+120gid (?)
o3o5/2x3/2o5/2*a - gofix+gishi+120gid (?)
x3o5/3o3/2o5/3*a - gofix+gishi+120gid (?)
o3o5/3x3/2o5/3*a - gofix+gishi+120gid (?)
x3/2o5/2o3/2o5/3*a - gofix+gishi+120gid (?)
o3/2x5/2o3/2o5/3*a - gofix+gishi+120gid (?)
other
Wythoffians
x3x5/2o3o5/3*a - 2firgaghi (?)
x3o5/2x3o5/3*a - (contains sicdatrid)
x3o5/2o3x5/3*a - 2gippapivady (?)
o3x5/2x3o5/3*a - [Grünbaumian]
x3x5/2x3o5/3*a - [Grünbaumian]
x3x5/2o3x5/3*a - (contains sicdatrid)
x3x5/2x3x5/3*a - [Grünbaumian]
x3x5/2o3/2o5/2*a - 2firgaghi (?)
x3o5/2x3/2o5/2*a - (contains sicdatrid)
x3o5/2o3/2x5/2*a - [Grünbaumian]
o3o5/2x3/2x5/2*a - [Grünbaumian]
x3x5/2x3/2o5/2*a - [Grünbaumian]
x3o5/2x3/2x5/2*a - [Grünbaumian]
x3x5/2x3/2x5/2*a - [Grünbaumian]
x3x5/3o3/2o5/3*a - 2firgaghi (?)
x3o5/3x3/2o5/3*a - (contains sicdatrid)
x3o5/3o3/2x5/3*a - 2gippapivady (?)
o3o5/3x3/2x5/3*a - [Grünbaumian]
x3x5/3x3/2o5/3*a - (contains sicdatrid)
x3o5/3x3/2x5/3*a - [Grünbaumian]
x3x5/3x3/2x5/3*a - [Grünbaumian]
x3/2x5/2o3/2o5/3*a - [Grünbaumian]
x3/2o5/2x3/2o5/3*a - (contains sicdatrid)
x3/2o5/2o3/2x5/3*a - 2gippapivady (?)
o3/2x5/2x3/2o5/3*a - [Grünbaumian]
x3/2x5/2x3/2o5/3*a - [Grünbaumian]
x3/2x5/2o3/2x5/3*a - [Grünbaumian]
x3/2x5/2x3/2x5/3*a - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5o5/3*a   (up)

  o3o3o5o5/3*a (µ=55) o3/2o3o5o5/2*a (µ=65) o3o3/2o5o5/2*a (µ=295) o3o3o5/4o5/2*a (µ=545)
quasiregulars
x3o3o5o5/3*a - gax+gashi+120gid (?)
o3x3o5o5/3*a - dittady+dox (?)
o3o3x5o5/3*a - ex+gohi+120id (?)
o3o3o5x5/3*a - radatathi
x3/2o3o5o5/2*a - gax+gashi+120gid (?)
o3/2x3o5o5/2*a - dittady+dox (?)
o3/2o3x5o5/2*a - ex+gohi+120id (?)
o3/2o3o5x5/2*a - radatathi
x3o3/2o5o5/2*a - gax+gashi+120gid (?)
o3x3/2o5o5/2*a - dittady+dox (?)
o3o3/2x5o5/2*a - ex+gohi+120id (?)
o3o3/2o5x5/2*a - radatathi
x3o3o5/4o5/2*a - gax+gashi+120gid (?)
o3x3o5/4o5/2*a - dittady+dox (?)
o3o3x5/4o5/2*a - ex+gohi+120id (?)
o3o3o5/4x5/2*a - radatathi
other
Wythoffians
x3x3o5o5/3*a - gidpixathi
x3o3x5o5/3*a - (contains cadditradid)
x3o3o5x5/3*a - gixhidy
o3x3x5o5/3*a - sidpixathi
o3x3o5x5/3*a - sirfixthi
o3o3x5x5/3*a - sixhidy
x3x3x5o5/3*a - (contains cadditradid)
x3x3o5x5/3*a - sixathi
x3o3x5x5/3*a - hixady
o3x3x5x5/3*a - gixathi
x3x3x5x5/3*a - xithi
x3/2x3o5o5/2*a - [Grünbaumian]
x3/2o3x5o5/2*a - (contains "2thah")
x3/2o3o5x5/2*a - [Grünbaumian]
o3/2x3x5o5/2*a - sidpixathi
o3/2x3o5x5/2*a - sirfixthi
o3/2o3x5x5/2*a - sixhidy
x3/2x3x5o5/2*a - [Grünbaumian]
x3/2x3o5x5/2*a - [Grünbaumian]
x3/2o3x5x5/2*a - [Grünbaumian]
o3/2x3x5x5/2*a - gixathi
x3/2x3x5x5/2*a - [Grünbaumian]
x3x3/2o5o5/2*a - gidpixathi
x3o3/2x5o5/2*a - (contains "2thah")
x3o3/2o5x5/2*a - [Grünbaumian]
o3x3/2x5o5/2*a - [Grünbaumian]
o3x3/2o5x5/2*a - (contains sicdatrid)
o3o3/2x5x5/2*a - sixhidy
x3x3/2x5o5/2*a - [Grünbaumian]
x3x3/2o5x5/2*a - [Grünbaumian]
x3o3/2x5x5/2*a - [Grünbaumian]
o3x3/2x5x5/2*a - [Grünbaumian]
x3x3/2x5x5/2*a - [Grünbaumian]
x3x3o5/4o5/2*a - gidpixathi
x3o3x5/4o5/2*a - (contains cadditradid)
x3o3o5/4x5/2*a - [Grünbaumian]
o3x3x5/4o5/2*a - sidpixathi
o3x3o5/4x5/2*a - (contains sicdatrid)
o3o3x5/4x5/2*a - [Grünbaumian]
x3x3x5/4o5/2*a - (contains cadditradid)
x3x3o5/4x5/2*a - [Grünbaumian]
x3o3x5/4x5/2*a - [Grünbaumian]
o3x3x5/4x5/2*a - [Grünbaumian]
x3x3x5/4x5/2*a - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...
  o3/2o3/2o5o5/3*a (µ=1025) o3o3/2o5/4o5/3*a (µ=1505) o3/2o3o5/4o5/3*a (µ=1735) o3/2o3/2o5/4o5/2*a (µ=1975)
quasiregulars
x3/2o3/2o5o5/3*a - gax+gashi+120gid (?)
o3/2x3/2o5o5/3*a - dittady+dox (?)
o3/2o3/2x5o5/3*a - ex+gohi+120id (?)
o3/2o3/2o5x5/3*a - radatathi
x3o3/2o5/4o5/3*a - gax+gashi+120gid (?)
o3x3/2o5/4o5/3*a - dittady+dox (?)
o3o3/2x5/4o5/3*a - ex+gohi+120id (?)
o3o3/2o5/4x5/3*a - radatathi
x3/2o3o5/4o5/3*a - gax+gashi+120gid (?)
o3/2x3o5/4o5/3*a - dittady+dox (?)
o3/2o3x5/4o5/3*a - ex+gohi+120id (?)
o3/2o3o5/4x5/3*a - radatathi
x3/2o3/2o5/4o5/2*a - gax+gashi+120gid (?)
o3/2x3/2o5/4o5/2*a - dittady+dox (?)
o3/2o3/2x5/4o5/2*a - ex+gohi+120id (?)
o3/2o3/2o5/4x5/2*a - radatathi
other
Wythoffians
x3/2x3/2o5o5/3*a - [Grünbaumian]
x3/2o3/2x5o5/3*a - (contains cadditradid)
x3/2o3/2o5x5/3*a - gixhidy
o3/2x3/2x5o5/3*a - [Grünbaumian]
o3/2x3/2o5x5/3*a - (contains sicdatrid)
o3/2o3/2x5x5/3*a - sixhidy
x3/2x3/2x5o5/3*a - [Grünbaumian]
x3/2x3/2o5x5/3*a - [Grünbaumian]
x3/2o3/2x5x5/3*a - hixady
o3/2x3/2x5x5/3*a - [Grünbaumian]
x3/2x3/2x5x5/3*a - [Grünbaumian]
x3x3/2o5/4o5/3*a - gidpixathi
x3o3/2x5/4o5/3*a - (contains "2thah")
x3o3/2o5/4x5/3*a - gixhidy
o3x3/2x5/4o5/3*a - [Grünbaumian]
o3x3/2o5/4x5/3*a - sirfixthi
o3o3/2x5/4x5/3*a - [Grünbaumian]
x3x3/2x5/4o5/3*a - [Grünbaumian]
x3x3/2o5/4x5/3*a - sixathi
x3o3/2x5/4x5/3*a - [Grünbaumian]
o3x3/2x5/4x5/3*a - [Grünbaumian]
x3x3/2x5/4x5/3*a - [Grünbaumian]
x3/2x3o5/4o5/3*a - [Grünbaumian]
x3/2o3x5/4o5/3*a - (contains "2thah")
x3/2o3o5/4x5/3*a - gixhidy
o3/2x3x5/4o5/3*a - sidpixathi
o3/2x3o5/4x5/3*a - (contains sicdatrid)
o3/2o3x5/4x5/3*a - [Grünbaumian]
x3/2x3x5/4o5/3*a - [Grünbaumian]
x3/2x3o5/4x5/3*a - [Grünbaumian]
x3/2o3x5/4x5/3*a - [Grünbaumian]
o3/2x3x5/4x5/3*a - [Grünbaumian]
x3/2x3x5/4x5/3*a - [Grünbaumian]
x3/2x3/2o5/4o5/2*a - [Grünbaumian]
x3/2o3/2x5/4o5/2*a - (contains cadditradid)
x3/2o3/2o5/4x5/2*a - [Grünbaumian]
o3/2x3/2x5/4o5/2*a - [Grünbaumian]
o3/2x3/2o5/4x5/2*a - sirfixthi
o3/2o3/2x5/4x5/2*a - [Grünbaumian]
x3/2x3/2x5/4o5/2*a - [Grünbaumian]
x3/2x3/2o5/4x5/2*a - [Grünbaumian]
x3/2o3/2x5/4x5/2*a - [Grünbaumian]
o3/2x3/2x5/4x5/2*a - [Grünbaumian]
x3/2x3/2x5/4x5/2*a - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
...
...


Hecatonicosachoral ("hyic") Symmetries – type o5o5/2o5o5/3*a   (up)

  o5o5/2o5o5/3*a (µ=108) o5o5/2o5/4o5/2*a (µ=252) o5o5/3o5/4o5/3*a (µ=972) o5/4o5/2o5/4o5/3*a (µ=2268)
quasiregulars
x5o5/2o5o5/3*a - sishi+gaghi+120did (?)
o5x5/2o5o5/3*a - sishi+gaghi+120did (?)
x5o5/2o5/4o5/2*a - sishi+gaghi+120did (?)
o5o5/2x5/4o5/2*a - sishi+gaghi+120did (?)
x5o5/3o5/4o5/3*a - sishi+gaghi+120did (?)
o5o5/3x5/4o5/3*a - sishi+gaghi+120did (?)
x5/4o5/2o5/4o5/3*a - sishi+gaghi+120did (?)
o5/4x5/2o5/4o5/3*a - sishi+gaghi+120did (?)
other
Wythoffians
x5x5/2o5o5/3*a - 2giprapivady (?)
x5o5/2x5o5/3*a - (contains cadditradid)
x5o5/2o5x5/3*a - 2spapivady (?)
o5x5/2x5o5/3*a - [Grünbaumian]
x5x5/2x5o5/3*a - [Grünbaumian]
x5x5/2o5x5/3*a - ebuthi
x5x5/2x5x5/3*a - [Grünbaumian]
x5x5/2o5/4o5/2*a - 2giprapivady (?)
x5o5/2x5/4o5/2*a - (contains cadditradid)
x5o5/2o5/4x5/2*a - [Grünbaumian]
o5o5/2x5/4x5/2*a - [Grünbaumian]
x5x5/2x5/4o5/2*a - [Grünbaumian]
x5o5/2x5/4x5/2*a - [Grünbaumian]
x5x5/2x5/4x5/2*a - [Grünbaumian]
x5x5/3o5/4o5/3*a - 2giprapivady (?)
x5o5/3x5/4o5/3*a - (contains cadditradid)
x5o5/3o5/4x5/3*a - 2spapivady (?)
o5o5/3x5/4x5/3*a - [Grünbaumian]
x5x5/3x5/4o5/3*a - ebuthi
x5o5/3x5/4x5/3*a - [Grünbaumian]
x5x5/3x5/4x5/3*a - [Grünbaumian]
x5/4x5/2o5/4o5/3*a - [Grünbaumian]
x5/4o5/2x5/4o5/3*a - (contains cadditradid)
x5/4o5/2o5/4x5/3*a - 2spapivady (?)
o5/4x5/2x5/4o5/3*a - [Grünbaumian]
x5/4x5/2x5/4o5/3*a - [Grünbaumian]
x5/4x5/2o5/4x5/3*a - [Grünbaumian]
x5/4x5/2x5/4x5/3*a - [Grünbaumian]
(partial)
snubs and
holosnubs
...
...
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