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 5D 
o3o3o3o3o  o3o3o3o4o  o3o3o *b3o3o  
quasiregular 
x3o3o3o3o  hix o3x3o3o3o  rix o3o3x3o3o  dot 
x3o3o3o4o  tac o3x3o3o4o  rat o3o3x3o4o  nit o3o3o3x4o  rin o3o3o3o4x  pent 
x3o3o *b3o3o  hin o3x3o *b3o3o  nit o3o3o *b3x3o  rat o3o3o *b3o3x  tac 
other Wythoffians 
x3x3o3o3o  tix x3o3x3o3o  sarx x3o3o3x3o  spix x3o3o3o3x  scad o3x3x3o3o  bittix o3x3o3x3o  sibrid x3x3x3o3o  garx x3x3o3x3o  pattix x3x3o3o3x  cappix x3o3x3x3o  pirx x3o3x3o3x  card o3x3x3x3o  gibrid x3x3x3x3o  gippix x3x3x3o3x  cograx x3x3o3x3x  captid x3x3x3x3x  gocad 
x3x3o3o4o  tot x3o3x3o4o  sart x3o3o3x4o  spat x3o3o3o4x  scant o3x3x3o4o  bittit o3x3o3x4o  sibrant o3x3o3o4x  span o3o3x3x4o  bittin o3o3x3o4x  sirn o3o3o3x4x  tan x3x3x3o4o  gart x3x3o3x4o  pattit x3x3o3o4x  cappin x3o3x3x4o  pirt x3o3x3o4x  carnit x3o3o3x4x  capt o3x3x3x4o  gibrant o3x3x3o4x  prin o3x3o3x4x  pattin o3o3x3x4x  girn x3x3x3x4o  gippit x3x3x3o4x  cogart x3x3o3x4x  captint x3o3x3x4x  cogrin o3x3x3x4x  gippin x3x3x3x4x  gacnet 
x3x3o *b3o3o  thin x3o3x *b3o3o  rin x3o3o *b3x3o  sirhin x3o3o *b3o3x  siphin o3x3o *b3x3o  bittit o3x3o *b3o3x  sart o3o3o *b3x3x  tot x3x3x *b3o3o  bittin x3x3o *b3x3o  girhin x3x3o *b3o3x  pithin x3o3x *b3x3o  sibrant x3o3x *b3o3x  spat x3o3o *b3x3x  pirhin o3x3o *b3x3x  gart x3x3x *b3x3o  gibrant x3x3x *b3o3x  pirt x3x3o *b3x3x  giphin x3o3x *b3x3x  pattit x3x3x *b3x3x  gippit 
ono o3o3o  ono o3o4o  ono o3o5o  
of quasiregulars 
x3o x3o3o  tratet x3o o3x3o  troct 
x3o x3o4o  troct x3o o3x4o  traco x3o o3o4x  tracube 
x3o x3o5o  trike x3o o3x5o  trid x3o o3o5x  tradoe 
x4o x3o3o  squatet x4o o3x3o  squoct 
x4o x3o4o  squoct x4o o3x4o  squaco x4o o3o4x  pent 
x4o x3o5o  squike x4o o3x5o  squid x4o o3o5x  squadoe  
xno x3o3o  n,tetdip xno o3x3o  n,octdip 
xno x3o4o  n,octdip xno o3x4o  n,codip xno o3o4x  n,cubedip 
xno x3o5o  n,ikedip xno o3x5o  n,iddip xno o3o5x  n,doedip  
other Wythoffians 
x3x x3o3o  hatet x3x o3x3o  hoct x3o x3x3o  tratut x3o x3o3x  traco x3x x3x3o  hatut x3x x3o3x  haco x3o x3x3x  tratoe x3x x3x3x  hatoe 
x3x x3o4o  hoct x3x o3x4o  haco x3x o3o4x  hacube x3o x3x4o  tratoe x3o x3o4x  trasirco x3o o3x4x  tratic x3x x3x4o  hatoe x3x x3o4x  hasirco x3x o3x4x  hatic x3o x3x4x  tragirco x3x x3x4x  hagirco 
x3x x3o5o  hike x3x o3x5o  hid x3x o3o5x  hadoe x3o x3x5o  trati x3o x3o5x  trasrid x3o o3x5x  tratid x3x x3x5o  hati x3x x3o5x  hasrid x3x o3x5x  hatid x3o x3x5x  tragrid x3x x3x5x  hagrid 
x4x x3o3o  otet x4x o3x3o  owoct x4o x3x3o  squatut x4o x3o3x  squaco x4x x3x3o  otut x4x x3o3x  oco x4o x3x3x  squatoe x4x x3x3x  otoe 
x4x x3o4o  owoct x4x o3x4o  oco x4x o3o4x  ocube x4o x3x4o  squatoe x4o x3o4x  squasirco x4o o3x4x  squatic x4x x3x4o  otoe x4x x3o4x  osirco x4x o3x4x  otic x4o x3x4x  squagirco x4x x3x4x  ogirco 
x4x x3o5o  oike x4x o3x5o  oid x4x o3o5x  odoe x4o x3x5o  squati x4o x3o5x  squasrid x4o o3x5x  squatid x4x x3x5o  oti x4x x3o5x  osrid x4x o3x5x  otid x4o x3x5x  squagrid x4x x3x5x  ogrid  
xno x3x3o  n,tutdip xno x3o3x  n,codip xno x3x3x  n,toedip 
xno x3x4o  n,toedip xno x3o4x  n,sircodip xno o3x4x  n,ticdip xno x3x4x  n,gircodip 
xno x3x5o  n,tidip xno x3o5x  n,sriddip xno o3x5x  n,tiddip xno x3x5x  n,griddip  
o o3o3o3o  o o3o3o4o  o o3o3o5o  
of quasiregulars 
x x3o3o3o  penp x o3x3o3o  rappip 
x x3o3o4o  hexip x o3x3o4o  icope x o3o3x4o  rittip x o3o3o4x  pent 
x x3o3o5o  exip x o3x3o5o  roxip x o3o3x5o  rahipe x o3o3o5x  hipe 
other Wythoffians 
x x3x3o3o  tippip x x3o3x3o  srippip x x3o3o3x  spiddip x o3x3x3o  decap x x3x3x3o  grippip x x3x3o3x  prippip x x3x3x3x  gippiddip 
x x3x3o4o  thexip x x3o3x4o  ricope x x3o3o4x  sidpithip x o3x3x4o  tahp x o3x3o4x  srittip x o3o3x4x  tattip x x3x3x4o  ticope x x3x3o4x  prittip x x3o3x4x  prohp x o3x3x4x  grittip x x3x3x4x  gidpithip 
x x3x3o5o  texip x x3o3x5o  srixip x x3o3o5x  sidpixhip x o3x3x5o  xhip x o3x3o5x  srahip x o3o3x5x  thipe x x3x3x5o  grixip x x3x3o5x  prahip x x3o3x5x  prixip x o3x3x5x  grahip x x3x3x5x  gidpixhip 
o o3o4o3o  o o3o3o *c3o  o ono omo  
of quasiregulars 
x x3o4o3o  icope x o3x4o3o  ricope 
x x3o3o *c3o  hexip x o3x3o *c3o  icope 
x x3o x3o  tratrip x x3o x4o  tracube x x3o xno  3,ndippip x x4o xno  n,cubedip x xno xmo  n,mdippip 
other Wythoffians 
x x3x4o3o  ticope x x3o4x3o  sricope x x3o4o3x  spiccup x o3x4x3o  contip x x3x4x3o  gricope x x3x4o3x  pricope x x3x4x3x  gippiccup 
x x3x3o *c3o  thexip x x3o3x *c3o  rittip x x3x3x *c3o  tahp x x3o3x *c3x  ricope x x3x3x *c3x  ticope 
x x3o x3x  trahip x x3x x3x  hahip x x3o x4x  trop x x3x x4o  hacube x x3x x4x  haop x x4o x4x  ocube x x4x x4x  oop 
o o o3o3o  o o o3o4o  o o o3o5o  
of quasiregulars 
x x x3o3o  squatet x x o3x3o  squoct 
x x x3o4o  squoct x x o3x4o  squaco x x o3o4x  pent 
x x x3o5o  squike x x o3x5o  squid x x o3o5x  squadoe 
other Wythoffians 
x x x3x3o  squatut x x x3o3x  squaco x x x3x3x  squatoe 
x x x3x4o  squatoe x x x3o4x  squasirco x x o3x4x  squatic x x x3x4x  squagirco 
x x x3x5o  squati x x x3o5x  squasrid x x o3x5x  squatid x x x3x5x  squagrid 
o o o ono  o o o o o  
of quasiregulars 
x x x x3o  tracube x x x x4o  pent x x x xno  n,cubedip 
x x x x x  pent  
other Wythoffians 
x x x x3x  hacube x x x x4x  ocube 
snubprisms  others 
x s3s4o3o  sadip x s3s3s4o  sadip x s3s3s *c3s  sadip 
gappip 
3 3 3 oooo 3/2 \ / 3 o 


o3o3o3o3o3/2*c  ...  ... 
o3o3x3x3o3/2*c  rawx ... 


3 3 3 3 4/3 oooooo 
3 3 3 oooo 4 \ / 4/3 o 
3 3 3 oooo 4 \ / 4/3 o 
o3o3o3o4/3o  o3o3o3o4o4/3*c  o3o3o3o4/3o4*c 
x3o3o3o4/3o  tac (convex) o3x3o3o4/3o  rat (convex) o3o3x3o4/3o  nit (convex) o3o3o3x4/3o  rin (convex) o3o3o3o4/3x  pent (convex) x3x3o3o4/3o  tot (convex) x3o3x3o4/3o  sart (convex) x3o3o3x4/3o  spat (convex) x3o3o3o4/3x  quacant o3x3x3o4/3o  bittit (convex) o3x3o3x4/3o  sibrant (convex) o3x3o3o4/3x  o3o3x3x4/3o  bittin (convex) o3o3x3o4/3x  o3o3o3x4/3x  quittin x3x3x3o4/3o  gart (convex) x3x3o3x4/3o  pattit (convex) x3x3o3o4/3x  x3o3x3x4/3o  pirt (convex) x3o3x3o4/3x  x3o3o3x4/3x  quacpot o3x3x3x4/3o  gibrant (convex) o3x3x3o4/3x  o3x3o3x4/3x  quiptin o3o3x3x4/3x  gaqrin x3x3x3x4/3o  gippit (convex) x3x3x3o4/3x  x3x3o3x4/3x  quicpatint x3o3x3x4/3x  quacgarn o3x3x3x4/3x  gaquapan x3x3x3x4/3x  gaquacint 
o3o3x3o4x4/3*c  wavinant o3x3x3o4x4/3*c  gibtadin x3o3x3o4x4/3*c  wacbinant x3x3x3o4x4/3*c  gibcotdin o3o3o3x4x4/3*c  sinnont o3x3o3x4x4/3*c  gikkivbadant x3o3o3x4x4/3*c  giktabacadint x3x3o3x4x4/3*c  gibacadint o3o3x3x4x4/3*c  naquitant o3x3x3x4x4/3*c  noqrant x3o3x3x4x4/3*c  naquiptant x3x3x3x4x4/3*c  noquapant ... 
o3o3x3o4/3x4*c  rawn o3x3x3o4/3x4*c  sibtadin x3o3x3o4/3x4*c  recarnit x3x3x3o4/3x4*c  sibcotdin o3o3o3x4/3x4*c  ginnont o3x3o3x4/3x4*c  skivbadant x3o3o3x4/3x4*c  skatbacadint x3x3o3x4/3x4*c  sibacadint o3o3x3x4/3x4*c  nottant o3x3x3x4/3x4*c  nurrant x3o3x3x4/3x4*c  niptant x3x3x3x4/3x4*c  nippant ... 
3 3 3 oooo 4 \ / 4/3 o 
3/2 oo 3 \ / 3 o 3 / \ 4/3 oo 4 

o3o3o3o *b4o4/3*c  o4/3o4o3*a3o3/2o3*a  some (multi)prisms 
o3x3o3o *b4x4/3*c  sirpin o3x3o3x *b4x4/3*c  sikvacadint x3x3o3o *b4x4/3*c  setitdin x3x3o3x *b4x4/3*c  sidacadint o3o3x3o *b4x4/3*c  fawdint o3o3x3x *b4x4/3*c  getitdin x3o3x3o *b4x4/3*c  gikvacadint x3o3x3x *b4x4/3*c  gidacadint o3x3x3o *b4x4/3*c  danbitot o3x3x3x *b4x4/3*c  sadinnert x3x3x3o *b4x4/3*c  gadinnert x3x3x3x *b4x4/3*c  danpit ... 
x4/3x4o3*a3o3/2x3*a  garcornit ... 
x3o3o x4/3x  stotet ... x3o o3x4/3x  traquith ... x o3o3x4/3x  quititip ... 
Warning: The following list in fact just contains the already provided polytera, which were not listed above. Whether those indeed are nonkaleidoscopical or just ask for some more complicate Dynkin diagram, in fact has not been checked so far.
acc. to other regiments  making up own regiments 
bad (dot regiment) bend (dot regiment) cabbix (dot regiment) caddix (dot regiment) gatopin (fawdint regiment) gipbin (fawdint regiment) gancpan (getitdin regiment) gabdacan (ginnont regiment) dah (hin regiment) han (hin regiment) hit (hin regiment) radah (hin regiment) rinah (hin regiment) irl (nit regiment) irohlohn (nit regiment) nat (nit regiment) raccoth (nit regiment) gloptin (quiptin regiment) ratchet (rat regiment) tin (rin regiment) firx (rix regiment) lawx (sarx regiment) rawcax (sarx regiment) chad (scad regiment) dibhid (scad regiment) fenandoh (siphin regiment) fidoh (siphin regiment) kafandoh (sirhin regiment) topax (spix regiment) hehad (tac regiment) gadencorn (wacbinant regiment) gafwan (wavinant regiment) ... 
... 
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