Hollow stellated icositetrachoric antiprism
(Redirected from Hosiap)
Hollow stellated icositetrachoric antiprism | |
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File:Hollow stellated icositetrachoric antiprism.png | |
Rank | 5 |
Type | Uniform |
Notation | |
Bowers style acronym | Hosiap |
Coxeter diagram | (xoo)(xoo)3(ooo)(ooo)3(oxo)(oxo) *b3(oox)(oox)&#x |
Elements | |
Tera | 24 hexadecadistesseracts, 48 stelloctangular pyramids |
Cells | 96+144 tetrahedra (as 48+72 stellae octangulae), 384 tetrahedra |
Faces | 192+576 triangles |
Edges | 144+192 |
Vertices | 48 |
Vertex figure | Two rectified-pentachoric cupolaic blend |
Measures (edge length 1) | |
Circumradius | √10/4 ≈ 0.79057 |
Height | √2/2 ≈ 0.70711 |
Related polytopes | |
Army | Icope |
Regiment | Hosiap |
Properties | |
Symmetry | F4×A1, order 2304 |
Convex | No |
Nature | Tame |
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.
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]
- Bowers, Jonathan. "Category 19: Miscellaneous" (#1290).
- Klitzing, Richard. "hosiap".
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