Ditetrahedronary cubitrishecatonicosachoron

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Ditetrahedronary cubitrishecatonicosachoron
Dittacthi card Bowers.jpeg
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymDittacthi
Elements
Cells120 compounds of five cubes, 120 great stellated dodecahedra, 120 dodecahedra, 120 rhombidodecadodecahedra
Faces3600 squares, 1440 pentagons, 1440 pentagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces74520
Level of complexity161
Related polytopes
ArmyHi
RegimentDattady
ConjugateDitetrahedronary cubitrishecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic2520
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The ditetrahedronary cubitrishecatonicosachoron, or dittacthi, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 120 great stellated dodecahedra, 120 dodecahedra, and 120 rhombidodecadodecahedra. Eight cubes (or four compounds), four great stellated dodecahedra, four dodecahedra, and twelve rhombidodecadodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]