Small rhombic dishecatonicosachoron

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Small rhombic dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSirdhi
Elements
Cells1200 triangular prisms, 120 truncated dodecahedra, 120 small rhombidodecahedra
Faces2400 triangles, 3600 squares, 1440 decagons
Edges3600+7200
Vertices3600
Vertex figureButterfly wedge, edge lengths 1 (base), 2 (sides of outer triangles), and (5+5)/2 (sides of inner triangles)
Measures (edge length 1)
Circumradius
Dichoral anglesSird–4–trip:
 Tid–3–trip: 150°
 Sird–10–tid: 144°
Related polytopes
ArmySrahi
RegimentSrahi
ConjugateGreat rhombic dishecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count144000
Euler characteristic–1200
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small rhombic dishecatonicosachoron, or sirdhi, is a nonconvex uniform polychoron that consists of 120 truncated dodecahedra, 120 small rhombidodecahedra, and 1200 triangular prisms. 2 of each type of cell join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]