Small stellated hecatonicosachoric alterprism

Small stellated hecatonicosachoric alterprism
Rank	5
Type	Scaliform
Notation
Bowers style acronym	Sishia
Coxeter diagram	-2 2sishi
Elements
Tera	2 sishi, 120 hossdap, 240 sissidpy
Cells	240 sissid, 720 stap, 2880 stappy
Faces	1440 pentagrams, 7200 triangles
Edges	1440+2400
Vertices	240
Vertex figure	Dodecahedron atop small stellated dodecahedron
Measures (edge length 1)
Circumradius	${\sqrt {\frac {7+{\sqrt {5}}}{8}}}\approx 1.07448$
Height	${\sqrt {\frac {{\sqrt {5}}-1}{2}}}\approx 0.786151$
Related polytopes
Army	Semi-uniform Exip
Regiment	Sishia
Properties
Symmetry	H4×A1, order 28800
Convex	No
Nature	Wild

The small stellated hecatonicosachoric alterprism is a scaliform segmentoteron. It consists of two small stellated hecatonicosachora as bases, joined by 120 hollow small stellated dodecahedral alterprisms and 240 small stellated dodecahedral pyramids. Its regiment contains a number of scaliform polytera, as well as two uniform polytera: the invertidodecahedronary hecatonicosachoric alterprism and the dodecahedronary prismatohexacosichoric alterprism.

External links

• Klitzing, Richard. "sishia".