Great disprismatocubidodecahedral honeycomb

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Great disprismatocubidodecahedral honeycomb
File:H3 534-1111 center ultrawide.png
Rank4
TypeUniform, compact
SpaceHyperbolic
Notation
Bowers style acronymGidpicdoh
Coxeter diagramx5x3x4x (File:CDel node 1.pngFile:CDel 5.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.png)
Elements
Cells15N octagonal prisms, 12N decagonal prisms, 5N great rhombicuboctahedra, 2N great rhombicosidodecahedra
Faces60N+60N+60N squares, 40N hexagons, 30N octagons, 24N decagons
Edges120N+120N+120N+120N
Vertices240N
Vertex figureIrregular tetrahedron, edge lengths 2 (3), 3 (1), 2+2 (1), and (5+5)/2 (1) File:Omnitruncated order-4 dodecahedral honeycomb verf.png
Measures (edge length 1)
Circumradius
Related polytopes
ArmyGidpicdoh
RegimentGidpicdoh
Abstract & topological properties
OrientableYes
Properties
Symmetry[5,3,4]
ConvexYes

The great disprismatocubidodecahedral honeycomb, also called the omnitruncated dodecahedral honeycomb or omnitruncated order-5 cubic honeycomb, is a compact uniform tiling of 3D hyperbolic space. 1 octagonal prism, 1 decagonal prism, 1 great rhombicuboctahedron, and 1 great rhombicosidodecahedron meet at each vertex. As the name suggests, it can be derived by omnitruncation of either the dodecahedral honeycomb or its dual order-5 cubic honeycomb.

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