Great birhombated icositetrachoric tetracomb

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Great birhombated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymGibricot
Coxeter diagramo3x4x3x3o ()
Elements
Tera32N triangular duoprisms, 3N great rhombated tesseracts, N great rhombated icositetrachora
Cells96N+96N triangular prisms, 24N truncated tetrahedra, 12N truncated cubes, 24N great rhombicuboctahedra
Faces96N+96N triangles, 288N squares, 96N hexagons, 72N octagons
Edges144N+288N+288N
Vertices288N
Vertex figureSkew tetragonal disphenoidal pyramid, edge lengths 1 (base edges of dispehnoid), 2 (side edges of base), 3 (sides to base 1), and 2+2 (sides to base 2)
Related polytopes
ArmyGibricot
RegimentGibricot
ConjugateGreat biquasirhombated icositetrachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The great birhombated icositetrachoric tetracomb or gibricot, also called the bicantitruncated icositetrachoric tetracomb, is a convex uniform tetracomb. 2 great rhombated icositetrachora, 2 great rhombated tesseracts, and 1 triangular duoprism join at each vertex of this tessellation. As the name suggests, it is the bicantitruncation of the icositetrachoric tetracomb, or equivalently bicantitruncation of the dual hexadecachoric tetracomb.

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