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---- 4D ----
This page is available sorted by complexity (below, listing starry ones only within the quasiregulars)
or by point-group symmetry (there extended by lots of further starry cases!)
or by similarity.
(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 |
|
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 |
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 |
(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 s2s3s3s - snittap *) s2s3s4o - snittap *) s2s3s4x - ... *) s2s3s4s - sniccap *) s2o3o4s - hex s2x3o4s - tuta **) s2s3s5s - sniddap *) s4o2s4o - hex s2s2s4o - hex s2s2s3s - 2,3-dap *) s2s2s2s - hex sns2sms - n,m-dap *) s2s2sns - 2,n-dap *) |
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 |
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