Diacositetracontadiminished diacositetraconta-myriaheptachiliadiacosioctaconta-zetton

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Diacositetracontadiminished diacositetraconta-myriaheptachiliadiacosioctaconta-zetton
Rank8
TypeScaliform
Elements
Zetta1920 octaexa, 240 demihepteracts, 240 hepteractidiminished pentacontahexapentacosiheptacontahexaexa
Exa15360+15360 heptapeta, 6720 tridiminished icosiheptaheptacontadipeta, 3360 demihexeracts
Peta53760+107520 hexatera, 53760 hexadecachoric pyramids, 20160 demipenteracts
Tera107520+107520+322560 pentachora, 6720+53760 hexadecachora
Cells26880+107520+107520+430080 tetrahedra
Faces107520+215040 triangles
Edges53760
Vertices1920
Vertex figureOctadiminished demihepteract, edge length 1
Measures (edge length 1)
Circumradius
Central density1
Number of external pieces2400
Related polytopes
ConjugateNone
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
ConvexYes
NatureTame

The diacositetracontadiminished diacositetraconta-myriaheptachiliadiacosioctaconta-zetton, abbreviated as 240-diminished 240-17280-zetton, is a convex scaliform polyzetton. It has 1920 octaexa, 240 demihepteracts and 240 hepteractidiminished pentacontahexapentacosiheptacontahexaexa as facets. 8 octaexa, 8 demihepteracts, and 14 hepteractidiminished pentacontahexapentacosiheptacontahexaexa meet each vertex.

One can create this polyzetton by removing an inscribed 2160-17280-zetton's vertices from a 240-17280-zetton.

Vertex coordinates[edit | edit source]

The vertices of a diacositetracontadiminished diacositetraconta-myriaheptachiliadiacosioctaconta-zetton of edge length 1, centered at the origin, are given by:

  • and all odd sign changes.

External links[edit | edit source]