Snub hecatonicosachoron

Snub hecatonicosachoron
Rank	4
Type	Scaliform
Notation
Bowers style acronym	Shi
Coxeter diagram
Elements
Cells	1440 stappy, 120 seside
Faces	2400+7200 triangles, 1440 pentagrams
Edges	3600+7200
Vertices	1440
Measures (edge length 1)
Circumradius	${\frac {\sqrt {9+3{\sqrt {5}}+{\sqrt {102+46{\sqrt {5}}}}}}{2}}\approx 2.73958$
Hypervolume	Undefined
Related polytopes
Army	Semi-uniform Tex (0.5356873868)3(0.6180339887)3o5o
Regiment	Shi
Conjugate	Retrosnub hecatonicosachoron
Abstract & topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

Not to be confused with Snub hexacosihecatonicosachoron.

The snub hecatonicosachoron, or shi, is a scaliform polychoron. It consists of 120 small snub icosicosidodecahedra and 1440 pentagrammic pyramids. It is notable for having icosahedral snub polyhedra as cells.

Cross-sections

Related polychora

This polychoron can be formed as a holosnub truncated faceted hexacosichoron.

Expanding the seside cells in different ways produces two more scaliform polychora: the prismatorhombisnub hecatonicosachoron and retroprismatorhombisnub hecatonicosachoron.

External links

• Bowers, Jonathan. "Category S3: Special Scaliforms" (#S24).