Dodecahedronary dishecatonicosachoron

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Dodecahedronary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymDidhi
Elements
Cells120 gidtid, 120 gike
Faces2400 triangles, 720 pentagons
Edges1200
Vertices120
Edge figure(gike 3 gidtid 5 gidtid 3)×3
Measures (edge length 1)
Circumradius1
Central density50
Number of external pieces19440
Level of complexity61
Related polytopes
ArmyEx
RegimentSishi
ConjugateOfiddady
Abstract & topological properties
Euler characteristic1800
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureFeral

The dodecahedronary dishecatonicosachoron, or didhi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra and 120 great icosahedra. Twenty great ditrigonary icosidodecahedra and twelve great icosahedra join at each vertex.

It also has tetrahedra as pseudofacets.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]