Retrosnub hecatonicosachoron

Retrosnub hecatonicosachoron
Rank	4
Type	Scaliform
Notation
Bowers style acronym	Rashi
Coxeter diagram
Elements
Cells	1440 stappy, 120 sirsid
Faces	2400+7200 triangles, 1440 pentagrams
Edges	3600+7200
Vertices	1440
Measures (edge length 1)
Circumradius	${\frac {\sqrt {9+3{\sqrt {5}}-{\sqrt {102+46{\sqrt {5}}}}}}{2}}\approx 0.590615$
Hypervolume	Undefined
Related polytopes
Army	Semi-uniform Tex
Regiment	Rashi
Conjugate	Snub hecatonicosachoron
Convex core	Dodecakis hecatonicosachoron
Abstract & topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

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

Related polychora

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

Expanding the sirsid cells in different ways produces two more scaliform polychora: the prismatorhombiretrosnub hecatonicosachoron and retroprismatorhombiretrosnub hecatonicosachoron.

External links

• Bowers, Jonathan. "Category S3: Special Scaliforms" (#S25).