Small rhombidodecahedral prism

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Small rhombidodecahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymSirdip
Elements
Cells30 cubes, 12 decagonal prisms, 2 small rhombidodecahedra
Faces60+60+60 squares, 24 decagons
Edges60+120+120
Vertices120
Vertex figureButterfly pyramid, edge lengths 2, (5+5)/2, 2, (5+5)/2 (base), 2 (legs)
Measures (edge length 1)
Circumradius
Dichoral anglesCube–4–dip #1:
 Sird–4–cube: 90°
 Sird–10–dip: 90°
 Cube–4–dip #2:
Height1
Number of external pieces224
Related polytopes
ArmySriddip
RegimentSriddip
DualSmall rhombidodecacronic tegum
ConjugateGreat rhombidodecahedral prism
Abstract & topological properties
Euler characteristic–20
OrientableNo
Properties
SymmetryH3×A1, order 240
ConvexNo
NatureTame

The small rhombidodecahedral prism or sirdip is a prismatic uniform polychoron that consists of 2 small rhombidodecahedra, 30 cubes, and 12 decagonal prisms. Each vertex joins 1 small rhombidodecahedron, 2 cubes, and 2 decagonal prisms. As the name suggests, it is a prism based on the small rhombidodecahedron.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small rhombicosidodecahedral prism.

External links[edit | edit source]