Rhombiprismic dispentachoron

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Rhombiprismic dispentachoron
Rank4
TypeUniform
Notation
Bowers style acronymRipdip
Elements
Cells10 hexagonal prisms, 5 cubohemioctahedra, 5 truncated octahedra
Faces30+30 squares, 20+20 hexagons
Edges30+60+60
Vertices60
Vertex figureSkewed bowtie pyramid, base edge lengths 2, 3, 2, 3; lateral edge lengths 2, 2, 3, 3
Measures (edge length 1)
Circumradius
Dichoral anglesCho–4–hip:
 Cho–6–toe:
 Toe–4–hip:
 Toe-6-hip:
Related polytopes
ArmyPrip
RegimentPrip
ConjugateNone
Abstract & topological properties
Flag count1920
Euler characteristic–10
OrientableNo
Properties
SymmetryA4, order 120
ConvexNo
NatureTame

The rhombiprismic dispentachoron, or ripdip, is a nonconvex uniform polychoron that consists of 5 cubohemioctahedra, 5 truncated octahedra, and 10 hexagonal prisms. One cubohemioctahedron, two truncated octahedra, and two hexagonal prisms join at each vertex.

Cross-sections[edit | edit source]

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the prismatorhombated pentachoron.

External links[edit | edit source]