Spinohollow stellated icositetrachoric hemiantiprism

Spinohollow stellated icositetrachoric hemiantiprism
File:Spinohollow stellated icositetrachoric hemiantiprism.png (OFF file)
Rank	5
Type	Uniform
Notation
Bowers style acronym	Nahsihap
Elements
Tera	48 tesseractihemioctachora, 48 pentachora, 48 rectified pentachora
Cells	48+48+144+192 tetrahedra, 24+192 octahedra
Faces	192+288+288 triangles
Edges	144+192
Vertices	48
Measures (edge length 1)
Circumradius	√10/4 ≈ 0.79057
Height	√2/2 ≈ 0.70711
Related polytopes
Army	Icope
Regiment	Hosiap
Abstract & topological properties
Orientable	No
Properties
Symmetry	F4/2×A1, order 1152
Convex	No
Nature	Wild

Verf of nahsihap.

The spinohollow stellated icositetrachoric hemiantiprism or nahsihap is a prismatic uniform polyteron consisting of 48 tesseractihemioctachora, 48 pentachora, and 48 rectified pentachora; 8 tesseractihemioctachora, 5 pentachora, and 10 rectified pentachora meet at each vertex.

Vertex coordinates

The vertices of a spinohollow stellated icositetrachoric hemiantiprism of edge length 1 are given by all permutations of the first four coordinates of:

• ${\biggl (}\pm {\frac {1}{2}},\pm {\frac {1}{2}},0,0,\pm {\frac {\sqrt {2}}{4}}{\biggr )}$

External links

• Bowers, Jonathan. "Miscellaneous"
• Klitzing, Richard. "Hosiap"