Rhombic small hecatonicosihecatonicosachoron

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Rhombic small hecatonicosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRashihy
Elements
Cells720 pentagrammic prisms, 120 truncated great dodecahedra, 120 small rhombidodecahedra
Faces3600 squares, 1440 pentagrams, 1440 decagons
Edges3600+7200
Vertices3600
Vertex figureButterfly wedge, edge lengths (5–1)/2 (bases), 2 (sides of outer triangles), and (5+5)/2 (sides of inner triangles)
Measures (edge length 1)
Circumradius
Dichoral anglesSird–4–stip:
 Sird–10–tigid: 36°
 Tigid–5/2–stip: 18°
Related polytopes
ArmySemi-uniform Srix, edge lengths (icosidodecahedra), 1 (main triangles)
RegimentSirfix
ConjugateRhombic great hecatonicosihecatonicosachoron
Abstract & topological properties
Flag count144000
Euler characteristic–1680
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The rhombic small hecatonicosihecatonicosachoron, or rashihy, is a nonconvex uniform polychoron that consists of 120 truncated great dodecahedra, 120 small rhombidodecahedra, and 720 pentagrammic 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 faceted hexacosichoron.

External links[edit | edit source]