Small small dipentary trishecatonicosachoron

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Small small dipentary trishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSisdipthi
Coxeter diagramo5o3x5x5/3*b ()
Elements
Cells120 icosahedra, 120 small stellated dodecahedra, 120 small ditrigonal dodecicosidodecahedra
Faces2400 triangles, 1440 pentagrams, 720 decagons
Edges3600+3600
Vertices1440
Vertex figureCrossed pentagonal frustum, edge lengths 1 (large base), (5–1)/2 (small base), and (5+5)/2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSidditdid–10–sidditdid: 144°
 Sidditdid–3–ike: 120°
 Sidditdid–5/2–sissid: 72°
Related polytopes
ArmySemi-uniform Tex, edge lengths (icosahedra), (surrounded by truncated tetrahedra)
RegimentPadohi
ConjugateGreat small dipentary trishecatonicosachoron
Abstract & topological properties
Flag count86400
Euler characteristic–1560
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small small dipentary trishecatonicosachoron, or sisdipthi, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 small stellated dodecahedra, and 120 small ditrigonal dodecicosidodecahedra. 1 icosahedron, 1 small stellated dodecahedron, and 5 small ditrigonal dodecicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the prismatodishecatonicosachoron.

External links[edit | edit source]