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This construction is based on facets of the runcinated 9-orthoplex. Biruncinated enneazetton Small biprismated enneazetton (Acronym: sabpene) (Jonathan...

Small biprismated octaexon (sibpo) (Jonathan Bowers) The vertices of the biruncinated 7-simplex can be most simply positioned in 8-space as permutations of...

6-cube Runcinated 6-cube Biruncinated 6-cube Runcinated 6-orthoplex 6-orthoplex Runcitruncated 6-cube Biruncitruncated 6-cube Runcicantellated 6-orthoplex...

7-cube Runcinated 7-cube Biruncinated 7-cube Runcitruncated 7-cube Biruncitruncated 7-cube Runcicantellated 7-cube Biruncicantellated 7-cube Runcicantitruncated...

tetradecapeton (Acronym: sibpof) (Jonathan Bowers) The vertices of the biruncinated 6-simplex can be most simply positioned in 7-space as permutations of...

Orthogonal projections in B6 Coxeter plane 7-orthoplex Runcinated 7-orthoplex Biruncinated 7-orthoplex Runcitruncated 7-orthoplex Biruncitruncated 7-orthoplex Runcicantellated...

6-cube Runcinated 6-cube Biruncinated 6-cube Runcinated 6-orthoplex 6-orthoplex Runcitruncated 6-cube Biruncitruncated 6-cube Runcicantellated 6-orthoplex...

7-orthoplex Small cellated hecatonicosaoctaexon (Scaz) 15 t1,4{3,3,3,3,3,4} Biruncinated 7-orthoplex Small biprismated hecatonicosaoctaexon (Sibpaz) 16 t2,4{4...

Small cellated diacosipentacontahexazetton (scak) 16 t1,4{3,3,3,3,3,3,4} Biruncinated 8-orthoplex Small biprismated diacosipentacontahexazetton (sabpek) 17...

cellated heptapeton (scal) (0,0,1,1,1,1,2) 105 700 1470 1400 630 105 16 Biruncinated 6-simplex small biprismato-tetradecapeton (sibpof) (0,0,1,1,1,2,2) 84...

or of (0,1,1,1,2,2), seen as facets of a runcinated 6-orthoplex, or a biruncinated 6-cube respectively. Runcitruncated hexateron Prismatotruncated hexateron...

11 t0,4 Stericated 7-simplex (sco) (0,0,0,1,1,1,1,2) 2240 280 12 t1,4 Biruncinated 7-simplex (sibpo) (0,0,0,1,1,1,2,2) 4200 560 13 t2,4 Tricantellated 7-simplex...

7-simplex 11 t0,4{3,3,3,3,3,3} Stericated 7-simplex 12 t1,4{3,3,3,3,3,3} Biruncinated 7-simplex 13 t2,4{3,3,3,3,3,3} Tricantellated 7-simplex 14 t0,5{3,3,3...

6-orthoplex Small cellated hexacontatetrapeton (scag) 14 t1,4{4,3,3,3,3} Biruncinated 6-cube Small biprismato-hexeractihexacontatetrapeton (sobpoxog) 15 t1...

4 Stericated 8-simplex (secane) (0,0,0,0,1,1,1,1,2) 6300 630 12 t1,4 Biruncinated 8-simplex (sabpene) (0,0,0,0,1,1,1,2,2) 11340 1260 13 t2,4 Tricantellated...

3,3,3,3} Stericated 10-simplex 32340 2310 13 t1,4{3,3,3,3,3,3,3,3,3} Biruncinated 10-simplex 55440 4620 14 t2,4{3,3,3,3,3,3,3,3,3} Tricantellated 10-simplex...

3,3,3,3,3} Stericated 9-simplex 15120 1260 13 t1,4{3,3,3,3,3,3,3,3} Biruncinated 9-simplex 26460 2520 14 t2,4{3,3,3,3,3,3,3,3} Tricantellated 9-simplex...

Stericated 6-simplex Small cellated heptapeton (scal) 16 t1,4{3,3,3,3,3} Biruncinated 6-simplex Small biprismato-tetradecapeton (sibpof) 17 t0,1,4{3,3,3,3...

8-simplex 11 t0,4{3,3,3,3,3,3,3} Stericated 8-simplex 12 t1,4{3,3,3,3,3,3,3} Biruncinated 8-simplex 13 t2,4{3,3,3,3,3,3,3} Tricantellated 8-simplex 14 t3,4{3,3...