# Rhombiprismic dispentachoron

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${\displaystyle {\frac {\sqrt {65}}{5}}\approx 1.61245}$
Dichoral anglesCho–4–hip: ${\displaystyle \arccos \left(-{\frac {\sqrt {6}}{6}}\right)\approx 114.09484^{\circ }}$
Cho–6–toe: ${\displaystyle \arccos \left({\frac {1}{4}}\right)\approx 75.52249^{\circ }}$
Toe–4–hip: ${\displaystyle \arccos \left({\frac {\sqrt {6}}{6}}\right)\approx 65.95106^{\circ }}$
Toe-6-hip: ${\displaystyle \arccos \left(-{\frac {\sqrt {6}}{4}}\right)\approx 52.23876^{\circ }}$
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.

## Vertex coordinates

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