Ditrigonary hecatonicosidishecatonicosachoron

From Polytope Wiki
Jump to navigation Jump to search
Ditrigonary hecatonicosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymDithidy
Elements
Cells120 ditdid, 120 gidditdid, 120 sidditdid
Faces2400 triangles, 1440 pentagons, 1440 pentagrams, 720 decagons, 720 decagrams
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateDitrigonary hecatonicosidishecatonicosachoron
Abstract & topological properties
Euler characteristic360
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The ditrigonary hecatonicosidishecatonicosachoron, or dithidy, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 great ditrigonal dodecicosidodecahedra, and 120 small ditrigonal dodecicosidodecahedra. Two ditrigonary dodecadodecahedra, six great ditrigonal dodecicosidodecahedra, and six small 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]