Grand rhombic prismatopentachoron

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Grand rhombic prismatopentachoron
Rank4
TypeUniform
Notation
Bowers style acronymGarpop
Coxeter diagramx3x3/2x3/2x ()
Elements
Cells10 hexagonal prisms, 5 cubohemioctahedra
Faces15+30 squares, 20 hexagons
Edges30+60
Vertices30
Vertex figureCrossed butterfly wedge, edge lengths 2 (6) and 3 (4)
Measures (edge length 1)
Circumradius
Dichoral anglesCho–4–hip:
 Cho–6–hip:
 Hip–4–hip:
Related polytopes
ArmySrip
RegimentSrip
ConjugateNone
Convex coreJoined pentachoron
Abstract & topological properties
Flag count1200
Euler characteristic–10
OrientableNo
Properties
SymmetryA4, order 120
ConvexNo
NatureTame

The grand rhombic prismatopentachoron, or garpop, is a nonconvex uniform polychoron that consists of 5 cubohemioctahedra and 10 hexagonal prisms. 2 cubohemioctahedra and 10 hexagonal prisms join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]