Octeractidiminished dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton

Octeractidiminished dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton
(OFF file)
Rank	8
Type	Scaliform
Notation
Bowers style acronym	Odify
Elements
Zetta	7168+896 octaexa, 1792 hexacontatetrapetic pyramids, 256 hecatonicosoctaexa, 16 hecatonicosihexapentacosiheptacontahexaexa
Exa	14336+43008+14336+7168+21504+7168+1024+2048 heptapeta, 1792+112 hexacontatetrapeta
Peta	86016+7168+86016+21504+14336+21504+3584+43008+7168 hexatera
Tera	21504+86016+43008+28672+14336+86016+21504+21504 pentachora
Cells	28672+7168+14336+57344+43008+21504+5376 tetrahedra
Faces	28672+1792+7168+10752 triangles
Edges	5376+448
Vertices	224
Measures (edge length 1)
Circumradius	1
Central density	1
Related polytopes
Army	Odify
Regiment	Odify
Conjugate	None
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	order 344064
Convex	Yes
Nature	Tame

The octeractidiminished dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton, or odify, is a convex scaliform polyzetton. It has 7168+896 octaexa, 1792 hexacontatetrapetic pyramids, 256 hecatonicosoctaexa, and 16 hecatonicosihexapentacosiheptacontahexaexa.

One can create this polyzetton by removing an inscribed diacosipentacontahexazetton's vertices from a dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton.

Vertex coordinates

The vertices of an octeractidiminished dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton of edge length 1, centered at the origin, are given by:

• ${\biggl (}\pm {\frac {1}{2}},\pm {\frac {1}{2}},\pm {\frac {1}{2}},\pm {\frac {1}{2}},0,0,0,0{\biggr )},$
• ${\biggl (}\pm {\frac {1}{2}},\pm {\frac {1}{2}},0,0,\pm {\frac {1}{2}},\pm {\frac {1}{2}},0,0{\biggr )},$
• ${\biggl (}0,0,\pm {\frac {1}{2}},\pm {\frac {1}{2}},\pm {\frac {1}{2}},\pm {\frac {1}{2}},0,0{\biggr )},$
• ${\biggl (}\pm {\frac {1}{2}},0,\pm {\frac {1}{2}},0,\pm {\frac {1}{2}},0,\pm {\frac {1}{2}},0{\biggr )},$
• ${\biggl (}0,\pm {\frac {1}{2}},0,\pm {\frac {1}{2}},\pm {\frac {1}{2}},0,\pm {\frac {1}{2}},0{\biggr )},$
• ${\biggl (}0,\pm {\frac {1}{2}},\pm {\frac {1}{2}},0,0,\pm {\frac {1}{2}},\pm {\frac {1}{2}},0{\biggr )},$
• ${\biggl (}\pm {\frac {1}{2}},0,0,\pm {\frac {1}{2}},0,\pm {\frac {1}{2}},\pm {\frac {1}{2}},0{\biggr )},$
• ${\biggl (}0,\pm {\frac {1}{2}},\pm {\frac {1}{2}},0,\pm {\frac {1}{2}},0,0,\pm {\frac {1}{2}}{\biggr )},$
• ${\biggl (}\pm {\frac {1}{2}},0,0,\pm {\frac {1}{2}},\pm {\frac {1}{2}},0,0,\pm {\frac {1}{2}}{\biggr )},$
• ${\biggl (}\pm {\frac {1}{2}},0,\pm {\frac {1}{2}},0,0,\pm {\frac {1}{2}},0,\pm {\frac {1}{2}}{\biggr )},$
• ${\biggl (}0,\pm {\frac {1}{2}},0,\pm {\frac {1}{2}},0,\pm {\frac {1}{2}},0,\pm {\frac {1}{2}}{\biggr )},$
• ${\biggl (}\pm {\frac {1}{2}},\pm {\frac {1}{2}},0,0,0,0,\pm {\frac {1}{2}},\pm {\frac {1}{2}}{\biggr )},$
• ${\biggl (}0,0,\pm {\frac {1}{2}},\pm {\frac {1}{2}},0,0,\pm {\frac {1}{2}},\pm {\frac {1}{2}}{\biggr )},$
• ${\biggl (}0,0,0,0,\pm {\frac {1}{2}},\pm {\frac {1}{2}},\pm {\frac {1}{2}},\pm {\frac {1}{2}}{\biggr )}.$