Small retroditetrahedronary dishecatonicosachoron

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Small retroditetrahedronary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSirdatady
Elements
Cells120 great ditrigonary icosidodecahedra, 120 icosidodecahedra
Faces2400 triangles, 1440 pentagons
Edges3600
Vertices600
Vertex figureGreat rhombitetrahedron, edge lengths 1 and (5–1)/2
Edge figure(gidtid 3 id 5 gidtid 3 id 5)
Measures (edge length 1)
Circumradius
Dichoral anglesGidtid–5–id: 144°
 Gidtid–3–id: 120°
Related polytopes
ArmyHi, edge length
RegimentSidtaxhi
ConjugateGrand retroditetrahedronary dishecatonicosachoron
Abstract & topological properties
Flag count57600
Euler characteristic600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small retroditetrahedronary dishecatonicosachoron, or sirdatady, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra and 120 icosidodecahedra. Four great ditrigonary icosidodecahedra and six icosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.

External links[edit | edit source]