Small ditetrahedronary hexacosihecatonicosachoric antiprism

Small ditetrahedronary hexacosihecatonicosachoric antiprism
File:Small ditetrahedronary hexacosihecatonicosachoric antiprism.png (OFF file)
Rank	5
Type	Uniform
Notation
Bowers style acronym	Sidtaxhiap
Coxeter diagram	β2β5o3o3o ()
Elements
Tera	1200 pentachora, 120 small ditrigonary icosidodecahedral antiprisms, 2 small ditetrahedronary hexacosihecatonicosachora
Cells	1200+4800 tetrahedra, 240 small ditrigonary icosidodecahedra, 720 pentagrammic antiprisms
Faces	4800+7200 triangles, 1440 pentagrams
Edges	2400+7200
Vertices	1200
Vertex figure	Tetrahedron atop truncated tetrahedron, edge lengths (√5–1)/2 (6 base edges), 1 (remaining edges)
Measures (edge length 1)
Circumradius	${\sqrt {\frac {23+9{\sqrt {5}}}{8}}}\approx 2.321762$
Height	${\sqrt {\frac {{\sqrt {5}}-1}{2}}}\approx 0.78615$
Related polytopes
Army	Semi-uniform Hipe
Regiment	Sidtaxhiap
Abstract & topological properties
Flag count	518400
Orientable	Yes
Properties
Symmetry	H4×A1, order 28800
Convex	No
Nature	Tame

The small ditetrahedronary hexacosihecatonicosachoric antiprism or sidtaxhiap, is a nonconvex uniform polyteron that consists of 2 small ditetrahedronary hexacosihecatonicosachora, 120 small ditrigonary icosidodecahedral antiprisms, and 1200 pentachora. Each vertex joins 1 small ditetrahedronary hexacosihecatonicosachoron, 4 small ditrigonary icosidodecahedral antiprisms, and 5 pentachora.

External links

• Bowers, Jonathan. "Category 19: Miscellaneous" (#1288).

• Klitzing, Richard. "sidtaxhiap".