Spinopentachoric hemiantiprism

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Spinopentachoric hemiantiprism
File:Spinopentachoric hemiantiprism.png
Rank5
TypeUniform
Notation
Bowers style acronymNophap
Elements
Tera20 pentachora, 5 tesseractihemioctachora
Cells40+30 tetrahedra, 10 octahedra
Faces20+60 triangles
Edges20+20
Vertices10
Measures (edge length 1)
Circumradius
Related polytopes
ArmyTac
RegimentTac
ConjugateNone
Abstract & topological properties
OrientableNo
Properties
SymmetryA4×2×A1+, order 240
ConvexNo
NatureWild

The spinopentachoric hemiantiprism, or nophap, is a uniform hemipolyteron. It has 20 regular pentachora and 5 central tesseractihemioctachora as facets, with 10 pentachora and 4 tesseractihemioctachora at each vertex.

It is a faceting of the triacontaditeron, with pentachoric antiprismatic symmetry. The pentachora of the triacontaditeron are arranged in a 1 5 10 10 5 1 arrangement, with the pentachora of the pentachoric hemiantiprism in the 10 spots.

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