Site Map Polytopes Dynkin Diagrams Vertex Figures, etc. Incidence Matrices Index

---- 4D ----

This page is available sorted by complexity (below, listing stary ones only within the quasiregulars)
or by point-group symmetry (there extended by lots of further stary cases!)
or by similarity.




quasiregular polychora   (up)

(non-convex polychora are provided within this group additionally only.)

o3o3o3o o3o3o4o o3o4o3o o3o3o *b3o
x3o3o3o - pen
o3x3o3o - rap
x3o3o4o - hex
o3x3o4o - ico
o3o3x4o - rit
o3o3o4x - tes
x3o4o3o - ico
o3x4o3o - rico
x3o3o *b3o - hex
o3x3o *b3o - ico
o3o3o5o o3o3o5/2o o3o5o5/2o o3o5/2o5o
x3o3o5o - ex
o3x3o5o - rox
o3o3x5o - rahi
o3o3o5x - hi
x3o3o5/2o - gax
o3x3o5/2o - raggix
o3o3x5/2o - rigogishi
o3o3o5/2x - gogishi
x3o5o5/2o - fix
o3x5o5/2o - rofix
o3o5x5/2o - rasishi
o3o5o5/2x - sishi
x3o5/2o5o - gofix
o3x5/2o5o - rigfix
o3o5/2x5o - ragaghi
o3o5/2o5x - gaghi
o5o5/2o5o o5/2o5o5/2o o5o3o5/2o  
x5o5/2o5o - gohi
o5x5/2o5o - righi
x5/2o5o5/2o - gashi
o5/2x5o5/2o - ragashi
x5o3o5/2o - gahi
o5x3o5/2o - raghi
o5o3x5/2o - ragishi
o5o3o5/2x - gishi
 


(multi)prisms of quasiregulars   (up)

ono omo o o3o3o o o3o4o o o3o5o o o ono o o o o
x3o x3o - triddip
x3o x4o - tisdip
x3o xno - 3,n-dip
x4o x4o - tes
x4o xno - 4,n-dip
xno xno - n,n-dip
xno xmo - n,m-dip
x x3o3o - tepe
x o3x3o - ope
x x3o4o - ope
x o3x4o - cope
x o3o4x - tes
x x3o5o - ipe
x o3x5o - iddip
x o3o5x - dope
x x x3o - tisdip
x x x4o - tes
x x xno - 4,n-dip
x x x x - tes


other Wythoffian polychora   (up)

o3o3o3o o3o3o4o o3o3o5o o3o4o3o o3o3o *b3o
x3x3o3o - tip
x3o3x3o - srip
x3o3o3x - spid
o3x3x3o - deca
x3x3x3o - grip
x3x3o3x - prip
x3x3x3x - gippid
x3x3o4o - thex
x3o3x4o - rico
x3o3o4x - sidpith
o3x3x4o - tah
o3x3o4x - srit
o3o3x4x - tat
x3x3x4o - tico
x3x3o4x - prit
x3o3x4x - proh
o3x3x4x - grit
x3x3x4x - gidpith
x3x3o5o - tex
x3o3x5o - srix
x3o3o5x - sidpixhi
o3x3x5o - xhi
o3x3o5x - srahi
o3o3x5x - thi
x3x3x5o - grix
x3x3o5x - prahi
x3o3x5x - prix
o3x3x5x - grahi
x3x3x5x - gidpixhi
x3x4o3o - tico
x3o4x3o - srico
x3o4o3x - spic
o3x4x3o - cont
x3x4x3o - grico
x3x4o3x - prico
x3x4x3x - gippic
x3x3o *b3o - thex
x3o3x *b3o - rit
x3x3x *b3o - tah
x3o3x *b3x - rico
x3x3x *b3x - tico
ono omo o o3o3o o o3o4o o o3o5o o o ono
x3x x3o - thiddip
x3x x3x - hiddip
x3o x4x - todip
x3x x4o - shiddip
x3x x4x - hodip
x4o x4x - sodip
x4o xnx - 4,2n-dip
x3x xno - 6,n-dip
x4x xno - 8,n-dip
xnx xmo - 2n,m-dip
xnx xmx - 2n,2m-dip
x x3x3o - tuttip
x x3o3x - cope
x x3x3x - tope
x x3x4o - tope
x x3o4x - sircope
x o3x4x - ticcup
x x3x4x - gircope
x x3x5o - tipe
x x3o5x - sriddip
x o3x5x - tiddip
x x3x5x - griddip
x x x3x - shiddip
x x x4x - sodip
x x xnx - 4,2n-dip


snubs and other non-kaleidoscopical uniform polychora   (up)

(partial) snubs holosnubs in o3o3o3o
s3s3s3s    - snip *)
s3s4o3o    - sadi
s3s4x3o    - srico
s3s4o3x    - prissi **)
s3s4x3x    - prico
s3s4s3s    - snico *)
o3o3o4s    - hex
x3o3o4s    - rit
o3x3o4s    - thex
o3o3x4s    - rit
x3x3o4s    - tah
x3o3x4s    - rico
o3x3x4s    - tah
s3s3s4o    - sadi
x3x3x4s    - tico
s3s3s4x    - (?) *)
s3s3s4s    - snet *)
s3s3s5s    - snahi *)
s3s3s *b3s - sadi
x s3s3s    - ipe
x s3s4s    - sniccup
x o3o4s    - ipe
x s3s5s    - sniddip
x s2s3s    - ope
x s2sns    - n-appip
x s2s2no   - n-appip
x x s3s    - tisdip
x x sns    - 4,n-dip
x s2s2s    - tepe
s2o3o4s    - hex
s2x3o4s    - tutcup **)
s4o2s4o    - hex
s2s2s4o    - hex
s2s2s2s    - hex
β3o3o3o - 3pen (?)
o3β3o3o - firp+rap+15{4} (?)
β3x3o3o - 2rap (?)
x3β3o3o - (?) *)
β3β3o3o - 2rap+20tet (?)
β3o3x3o - rawvtip
x3o3β3o - pinnipdip+15{4} (?)
β3o3β3o - (?) *)
β3o3o3x - piphid+10tet (?)
β3o3o3β - 4pen+160{3} (?)
o3β3x3o - (?) *)
o3β3β3o - (?) *)
β3x3x3o - 2deca (?)
x3β3x3o - 2srip (?)
x3x3β3o - (?) *)
β3β3x3o - 2srip (?)
β3x3β3o - (?) *)
x3β3β3o - 2srip+20trip (?)
β3β3β3o - (?) *)
β3x3o3x - 2srip (?)
x3β3o3x - (?) *)
x3x3o3β - pittip
β3β3o3x - 2srip+20{6}+40{3} (?) **)
β3x3o3β - 2srip+20{6}+60{3} (?) **)
x3β3o3β - (?) *)
β3β3o3β - (?) *)
β3x3x3x - 2grip (?)
x3β3x3x - 2prip (?)
β3β3x3x - 2prip (?)
β3x3β3x - (?) *)
β3x3x3β - (?) *)
x3β3β3x - (?) *)
β3β3β3x - (?) *)
β3β3x3β - (?) *)
holosnubs in o3o3o4o holosnubs in o3o3o5o
β3o3o4o - 2hex+8oct (?)
o3β3o4o - ico+gico+72{4} (?)
o3o3β4o - (?) *)
β3x3o4o - 2ico (?)
x3β3o4o - (?) *)
β3β3o4o - 2ico+48{4}+128{3} (?) **)
β3o3x4o - rawvhitto
x3o3β4o - (?) *)
β3o3β4o - (?) *)
β3o3o4x - shafipto+32tet (?)
β3o3o4β - (?) *)
o3β3x4o - (?) *)
o3x3β4o - (?) *)
o3β3β4o - (?) *)
o3β3o4x - pinpith+48{4} (?)
o3β3o4β - (?) *)
o3o3β4x - (?) *)
o3o3β4β - 2rit+64tet (?)
β3x3x4o - 2tah (?)
x3β3x4o - 2rico (?)
x3x3β4o - (?) *)
β3β3x4o - 2rico (?)
β3x3β4o - (?) *)
x3β3β4o - (?) *)
β3x3o4x - 2srit (?)
x3β3o4x - (?) *)
β3β3o4x - 2srit+48{8}+128{3} (?) **)
β3x3o4β - (?) *)
x3β3o4β - (?) *)
β3β3o4β - (?) *)
β3o3x4x - siphado
x3o3β4x - (?) *)
β3o3β4x - (?) *)
β3o3x4β - 2rico+64{6}+192{3} (?) **)
x3o3β4β - 2rico+64{6}+128{3} (?) **)
β3o3β4β - (?) *)
o3β3x4x - (?) *)
o3x3β4x - 2srit (?)
o3β3β4x - 2srit+64trip (?)
o3β3x4β - (?) *)
o3x3β4β - 2srit (?)
o3β3β4β - (?) *)
β3x3x4x - 2grit (?)
x3β3x4x - 2proh (?)
x3x3β4x - 2prit (?)
β3β3x4x - 2proh (?)
β3x3β4x - (?) *)
β3x3x4β - (?) *)
x3β3β4x - (?) *)
x3β3x4β - (?) *)
x3x3β4β - 2prit (?)
β3β3x4β - (?) *)
β3x3β4β - (?) *)
x3β3β4β - (?) *)
β3o3o5o - 2ex+120ike (?)
o3β3o5o - rox+720pip (?)
o3o3β5o - (?) *)
o3o3o5β - gridixhi
β3x3o5o - 2rox (?)
x3β3o5o - (?) *)
β3β3o5o - 2rox+1440{5}+2400{3} (?) **)
β3o3x5o - srawv hixhi
x3o3β5o - (?) *)
β3o3β5o - (?) *)
β3o3o5x - six fipady+1200tet (?)
x3o3o5β - stut phiddix
β3o3o5β - (?) *)
o3β3x5o - (?) *)
o3x3β5o - (?) *)
o3β3β5o - (?) *)
o3β3o5x - pinpixhi+1800{4} (?)
o3x3o5β - wavhiddix
o3β3o5β - (?) *)
o3o3β5x - (?) *)
o3o3x5β - 2rahi (?)
o3o3β5β - 2rahi+2400tet (?)
β3x3x5o - 2xhi (?)
x3β3x5o - 2srix (?)
x3x3β5o - (?) *)
β3β3x5o - 2srix (?)
β3x3β5o - (?) *)
x3β3β5o - (?) *)
β3β3β5o - (?) *)
β3x3o5x - 2srahi (?)
x3β3o5x - (?) *)
x3x3o5β - sphiddix
β3β3o5x - 2srahi+1440{10}+4800{3} (?) **)
β3x3o5β - (?) *)
x3β3o5β - (?) *)
β3β3o5β - (?) *)
β3o3x5x - spixhihy
x3o3β5x - (?) *)
x3o3x5β - 2srix (?)
β3o3β5x - (?) *)
β3o3x5β - 2srix+2400{6}+7200{3} (?) **)
x3o3β5β - 2srix+2400{6}+4800{3} (?) **)
β3o3β5β - (?) *)
o3β3x5x - (?) *)
o3x3β5x - 2srahi (?)
o3x3x5β - 2xhi (?)
o3β3β5x - 2srahi+2400trip (?)
o3β3x5β - (?) *)
o3x3β5β - 2srahi (?)
o3β3β5β - (?) *)
β3x3x5x - 2grahi (?)
x3β3x5x - 2prix (?)
x3x3β5x - 2prahi (?)
x3x3x5β - 2grix (?)
β3β3x5x - 2prix (?)
β3x3β5x - (?) *)
β3x3x5β - (?) *)
x3β3β5x - (?) *)
x3β3x5β - (?) *)
x3x3β5β - 2prahi (?)
β3β3β5x - (?) *)
β3β3x5β - (?) *)
β3x3β5β - (?) *)
x3β3β5β - (?) *)
holosnubs in o3o4o3o holosnubs in o3o3o *b3o
β3o4o3o - ico+gico+72{4} (?)
o3β4o3o - (?) *)
β3x4o3o - 2rico (?)
x3β4o3o - (?) *)
β3o4x3o - rawvaty
x3o4β3o - (?) *)
β3o4β3o - (?) *)
β3o4o3x - inpac+72{4} (?)
β3o4o3β - (?) *)
o3β4x3o - (?) *)
o3β4β3o - (?) *)
β3x4x3o - 2cont (?)
x3β4x3o - 2srico (?)
x3x4β3o - (?) *)
β3x4β3o - (?) *)
x3β4β3o - 2srico+192trip (?)
β3β4β3o - (?) *)
β3x4o3x - 2srico (?)
x3β4o3x - (?) *)
x3x4o3β - sipti
β3x4o3β - 2srico+144{8}+576{3} (?) **)
x3β4o3β - (?) *)
β3β4o3β - (?) *)
β3x4x3x - 2grico (?)
x3β4x3x - 2prico (?)
β3x4β3x - (?) *)
β3x4x3β - (?) *)
x3β4β3x - (?) *)
β3β4β3x - (?) *)
β3β4x3β - (?) *)
β3o3o *b3o - 2hex+8oct (?)
o3β3o *b3o - ico+gico+72{4} (?)
β3x3o *b3o - 2ico (?)
x3β3o *b3o - (?) *)
β3β3o *b3o - 2ico+48{4}+128{3} (?) **)
β3o3x *b3o - sto+16tet (?)
β3o3β *b3o - (?) *)
β3x3x *b3o - 2thex (?)
x3β3x *b3o - (?) *)
β3β3x *b3o - (?) *)
β3x3β *b3o - (?) *)
β3β3β *b3o - (?) *)
β3o3x *b3x - rawvhitto
β3o3β *b3x - (?) *)
β3o3β *b3β - (?) *)
β3x3x *b3x - 2tah (?)
x3β3x *b3x - 2rico (?)
β3β3x *b3x - 2rico (?)
β3x3β *b3x - (?) *)
β3β3β *b3x - (?) *)
β3x3β *b3β - (?) *)
others  
gap
*) not even a scaliform representation 
   does exist, just occures as pure 
   faceting
**) not uniform, but at least scaliform


© 2004-2014
top of page