Great birhombated icositetrachoric tetracomb

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Great birhombated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymGibricot
Coxeter diagramo3x4x3x3o (CDel node.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png)
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 (ssides 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

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.

Related polytopes[edit | edit source]

o3o4o3o3o truncations
Name OBSA CD diagram Picture
Icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
Icositetrachoronic tetracomb.png
Rectified icositetrachoric tetracomb CDel node.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
Birectified icositetrachoric tetracomb CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
Icositetrachoric tetracomb CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png
Hexadecachoric tetracomb CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png
Demitesseractic tetra hc.png
Truncated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
Bitruncated icositetrachoric tetracomb CDel node.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
Bitruncated hexadecachoric tetracomb CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png
Truncated hexadecachoric tetracomb CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png
Small rhombated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
Small birhombated icositetrachoric tetracomb CDel node.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png
Rectified icositetrachoric tetracomb CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png
Great rhombated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
Great birhombated icositetrachoric tetracomb CDel node.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png
Truncated icositetrachoric tetracomb CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png
Small prismated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png
Small prismated hexadecachoric tetracomb CDel node.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png
Prismatotruncated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png
Prismatorhombated hexadecachoric tetracomb CDel node.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png
Prismatorhombated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png
Prismatotruncated hexadecachoric tetracomb CDel node.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png
Great prismated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png
Great prismated hexadecachoric tetracomb CDel node.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png
Small cellated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png
Celliprismated hexadecachoric tetracomb CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png
Cellirhombated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png
Celligreatorhombated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png
Celliprismated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png
Celliprismatotruncated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png
Celligreatorhombated hexadecachoric tetracomb CDel node 1.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png
Great cellated icositetrachoric tetracomb CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

External links[edit | edit source]