# Small rhombic dishecatonicosachoron

(Redirected from Sirdhi)
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${\displaystyle {\sqrt {23+10{\sqrt {5}}}}\approx 6.73503}$
Dichoral anglesSird–4–trip: ${\displaystyle \arccos \left(-{\frac {{\sqrt {3}}+{\sqrt {15}}}{6}}\right)\approx 159.09484^{\circ }}$
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

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