Small ditrigonary dishecatonicosihecatonicosachoron

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Small ditrigonary dishecatonicosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidtid hihy
Elements
Cells120 sidtid, 120 raded, 120 gidditdid
Faces2400 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 720 decagrams
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateGidtid hihy
Abstract & topological properties
Euler characteristic1440
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditrigonary dishecatonicosihecatonicosachoron, or sidtid hihy, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 rhombidodecadodecahedra, and 120 great ditrigonal dodecicosidodecahedra. Two small ditrigonary icosidodecahedra, six rhombidodecadodecahedra, and six great ditrigonal dodecicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]