Small stellated hecatonicosachoric tetracomb

Small stellated hecatonicosachoric tetracomb
Rank	5
Type	Regular, compact
Space	Hyperbolic
Notation
Bowers style acronym	Sishitte
Coxeter diagram	x5/2o5o3o3o ()
Schläfli symbol	{5/2,5,3,3}
Elements
Tera	N small stellated hecatonicosachora
Cells	60N small stellated dodecahedra
Faces	240N pentagrams
Edges	300N
Vertices	N
Vertex figure	Hecatonicosachoron, edge length (√5-1)/2
Measures (edge length 1)
Circumradius	${\frac {\sqrt {2-{\sqrt {5}}}}{2}}\approx 0.24293i$
Central density	5
Related polytopes
Army	Pente
Regiment	Sishitte
Dual	Faceted pentachoric tetracomb
Abstract & topological properties
Schläfli type	{5,5,3,3}
Orientable	Yes
Properties
Symmetry	[5,3,3,3]
Convex	No

The small stellated hecatonicosachoric tetracomb, or sishitte, is a compact regular star tiling of 4D hyperbolic space. 3 small stellated hecatonicosachora meet at each face, and 120 meet at each vertex.

External links

• Klitzing, Richard. "sishitte".
• Wikipedia contributors. "Small stellated 120-cell honeycomb".