Small retrohemiantiprismatosnub prismatodisicositetrachoron

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Small retrohemiantiprismatosnub prismatodisicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymSirhapsippady
Elements
Cells24 gike, 24 tet, 96 thah, 96 trip
Faces576 triangles, 288 squares
Edges144+576
Vertices96
Measures (edge length 1)
Circumradius1
Number of external pieces8688
Level of complexity710
Related polytopes
ArmySadi
RegimentRappisdi
ConjugateGirhapsippady
Abstract & topological properties
Euler characteristic0
OrientableNo
Properties
SymmetryF4/2, order 576
ConvexNo
NatureWild

The small retrohemiantiprismatosnub prismatodisicositetrachoron, or sirhapsippady, is a nonconvex uniform polychoron that consists of 24 great icosahedra, 24 tetrahedra, 96 tetrahemihexahedra, and 96 triangular prisms. Three great icosahedra, one tetrahedron, six tetrahemihexahedra, and six triangular prisms join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the retroantiprismatosnub disicositetrachoron.

External links[edit | edit source]