Great tripesic hecatonicosachoron

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Great tripesic hecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGitphi
Coxeter diagram(o5x5/3x5o)/2 (/2)
Elements
Cells120 quasitruncated small stellated dodecahedra
Faces
Edges3600
Vertices1800 (as 600 fissary)
Vertex figureCompound of 3 tetragonal disphenoids, edge lengths (1+5)/2 (base) and (5–5)/2 (sides)
Measures (edge length 1)
Circumradius
Inradius
Hypervolume
Dichoral angleQuit sissid–5–quit sissid: 144°
Quit sissid–10/3–quit sissid: 36°
Central density183
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall tripesic hecatonicosachoron
Abstract & topological properties
Flag count43200
Euler characteristic–1680
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits3
ConvexNo
NatureTame

The great tripesic hecatonicosachoron, or gitphi, is a nonconvex noble fissary uniform polychoron that consists of 120 quasitruncated small stellated dodecahedra as cells. 12 cells join at each vertex.

It is fissary due to having a compound vertex figure, specifically a compound of three disphenoids. It shares its edges with the grand ditetrahedronary hexacosidishecatonicosachoron.

A double cover of this polychoron can be seen as the biquasitruncated great hecatonicosachoron.

Cross sections[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.


Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the grand ditetrahedronary hexacosidishecatonicosachoron.

External links[edit | edit source]