Great cubicuboctahedral prism

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Great cubicuboctahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymGoccope
Coxeter diagramx x4/3x3o4*b ()
Elements
Cells8 triangular prisms, 6 cubes, 6 octagrammic prisms, 2 great cubicuboctahedra
Faces16 triangles, 12+24+24 squares, 12 octagrams
Edges24+48+48
Vertices48
Vertex figureIsosceles trapezoidal pyramid, edge lengths 1, 2–2, 2, 2–2 (base), 2 (legs)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesTrip–4–stop:
 Gocco–4–cube: 90°
 Gocco–3–trip: 90°
 Gocco–8/3–stop: 90°
 Cube–4–stop: 90°
Height1
Central density4
Number of external pieces64
Related polytopes
ArmySemi-uniform Ticcup, edge lengths (base), 1 (sides)
RegimentGoccope
DualGreat hexacronic icositetrahedral tegum
ConjugateSmall cubicuboctahedral prism
Abstract & topological properties
Flag count1536
Euler characteristic–6
OrientableYes
Properties
SymmetryB3×A1, order 96
ConvexNo
NatureTame

The great cubicuboctahedral prism or goccope is a prismatic uniform polychoron that consists of 2 great cubicuboctahedra, 6 cubes, 8 triangular prisms, and 6 octagrammic prisms. Each vertex joins 1 great cubicuboctahedron, 1 triangular prism, 1 cube, and 2 octagrammic prisms. As the name suggests, it is a prism based on the great cubicuboctahedron.

The great cubicuboctahedral prism can be vertex-inscribed into the great tesseractitesseractihexadecachoron.

Cross-sections[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.


Vertex coordinates[edit | edit source]

The vertices of a great cubicuboctahedral prism of edge length 1 are given by all permutations of the first three coordinates of:

External links[edit | edit source]