Hollow stellated icositetrachoric antiprism

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Hollow stellated icositetrachoric antiprism
File:Hollow stellated icositetrachoric antiprism.png
Rank5
TypeUniform
Notation
Bowers style acronymHosiap
Coxeter diagram(xoo)(xoo)3(ooo)(ooo)3(oxo)(oxo) *b3(oox)(oox)&#x
Elements
Tera24 hexadecadistesseracts, 48 stelloctangular pyramids
Cells96+144 tetrahedra (as 48+72 stellae octangulae), 384 tetrahedra
Faces192+576 triangles
Edges144+192
Vertices48
Vertex figureTwo rectified-pentachoric cupolaic blend
Measures (edge length 1)
Circumradius10/4 ≈ 0.79057
Height2/2 ≈ 0.70711
Related polytopes
ArmyIcope
RegimentHosiap
Properties
SymmetryF4×A1, order 2304
ConvexNo
NatureTame

The hollow stellated icositetrachoric antiprism or hosiap is a prismatic uniform polyteron that consists of 24 hexadecadistesseracts (48 paired hexadecachora) and 48 stelloctangular pyramids (96 paired pentachora). 8 hexadecachora and 10 pentachora meet at each of its vertices.

Vertex figure of hosiap.

It can be created by blending six demipenteracts (as hexadecachoric antiprisms) in the icositetrachoric prism army.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]