Grand rhombic dishexadecachoron

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Grand rhombic dishexadecachoron
Rank4
TypeUniform
Notation
Bowers style acronymGardoh
Elements
Cells16 cubohemioctahedra, 16 truncated octahedra
Faces96 squares, 32+64 hexagons
Edges96+192
Vertices96
Vertex figureCrossed butterfly wedge, edge lengths 2 (4) and 3 (6)
Measures (edge length 1)
Circumradius
Dichoral anglesCho–6–toe: 120°
 cho–4–toe: 90°
 Toe–6–toe: 60°
Related polytopes
ArmyRico
RegimentRico
ConjugateNone
Convex coreHexadecachoron
Abstract & topological properties
Flag count3840
Euler characteristic–32
OrientableNo
Properties
SymmetryB4, order 384
ConvexNo
NatureTame

The grand rhombic dishexadecachoron, or gardoh, is a nonconvex uniform polychoron that consists of 16 cubohemioctahedra and 16 truncated octahedra. Two cubohemioctahedra and four truncated octahedra join at each vertex.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the rectified icositetrachoron.

External links[edit | edit source]