Small pseudorhombic disicositetrachoron

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Small pseudorhombic disicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymSpirdy
Elements
Cells96 triangular prisms, 24 truncated cubes, 24 great rhombicuboctahedra
Faces192 triangles, 288 squares, 96 hexagons, 144 octagons
Edges288+576
Vertices288
Vertex figureIsosceles triangular retroprism, edge lengths 1 (2), 2 (4), 3 (2), and 2+2 (4)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesTic–8–girco: 90°
 Girco–6–girco: 60°
 Girco–4–trip:
 Tic–3–trip: 30°
Related polytopes
ArmySrico
RegimentSrico
ConjugateGreat pseudorhombic disicositetrachoron
Convex coreIcositetrachoron
Abstract & topological properties
Flag count13824
Euler characteristic0
OrientableYes
Properties
SymmetryF4, order 1152
ConvexNo
NatureTame

The small pseudorhombic disicositetrachoron, or spirdy, is a nonconvex uniform polychoron that consists of 24 truncated cubes, 96 triangular prisms, and 24 great rhombicuboctahedra. Two truncated cubes, two triangular prisms, and four great rhombicuboctahedra join at each vertex.

It can be constructed as the blend of 3 small prismatohexadecadisoctachora. In the process the octahemioctahedron cells blend out.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small rhombated icositetrachoron.

External links[edit | edit source]