Ditetrahedronary cubiprismatohecatonicosachoron

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Ditetrahedronary cubiprismatohecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymDatcaphi
Elements
Cells720 pentagrammic prisms, 120 compounds of five cubes, 120 great stellated dodecahedra
Faces3600 squares, 1440 pentagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesGissid–5/2–stip: 126°
 Cube–4–stip:
Number of external pieces42120
Level of complexity108
Related polytopes
ArmyHi, edge length
RegimentDattady
ConjugateGreat ditetrahedronary cubiprismatohecatonicosachoron
Abstract & topological properties
Flag count86400
Euler characteristic600
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The ditetrahedronary cubiprismatohecatonicosachoron, or datcaphi, 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, and 720 pentagrammic prisms. Eight cubes (or four compounds), four great stellated dodecahedra, and twelve pentagrammic prisms 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]