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cantitruncated order-4 square tiling honeycomb, is the same as the truncated square tiling honeycomb, . It contains cube and truncated square tiling facets...

figure. It is the same as the cantitruncated order-4 square tiling honeycomb, tr{4,4,4}, . The bitruncated square tiling honeycomb, 2t{4,4,3}, has truncated...

field of hyperbolic geometry, the order-4 hexagonal tiling honeycomb arises as one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space...

order-4 dodecahedral honeycomb, , has rhombicosidodecahedron, cuboctahedron, and cube cells, with a wedge vertex figure. The cantitruncated order-4 dodecahedral...

the form {4,3,...,3,4}, starting with the square tiling, {4,4} in the plane. It is one of 28 uniform honeycombs using convex uniform polyhedral cells. Simple...

tiling honeycomb, t0,2{6,3,3}, has octahedron, rhombitrihexagonal tiling, and triangular prism cells, with a wedge vertex figure. The cantitruncated hexagonal...

vertex figure. The cantitruncated order-6 hexagonal tiling honeycomb, t0,1,2{6,3,6}, has hexagonal tiling, truncated trihexagonal tiling, and hexagonal prism...

rhombicuboctahedron, cube, and square tiling facets, with a wedge vertex figure. The cantitruncated order-4 octahedral honeycomb, t0,1,2{3,4,4}, has truncated...

trihexagonal tiling, and hexagonal prism cells arranged in an isosceles triangular prism vertex figure. The cantitruncated order-6 tetrahedral honeycomb, t0,1...

field of hyperbolic geometry, the order-5 hexagonal tiling honeycomb arises as one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space...

Euclidean (order-4) cantitruncated cubic honeycomb, tr{4,3,4}: The runcinated order-5 cubic honeycomb or runcinated order-4 dodecahedral honeycomb , has cube...

dodecahedral honeycomb, , has rhombicosidodecahedron, icosidodecahedron, and pentagonal prism cells, with a wedge vertex figure. The cantitruncated order-5 dodecahedral...

vertex figure. The cantitruncated order-6 dodecahedral honeycomb, t0,1,2{5,3,6} has truncated icosidodecahedron, hexagonal tiling, and hexagonal prism...

honeycomb has six ideal cubes meeting along each edge. Its vertex figure is an infinite triangular tiling. Its dual is the order-4 hexagonal tiling honeycomb...

symmetry [3+,6,3]. The cantitruncated triangular tiling honeycomb, , has truncated trihexagonal tiling, truncated hexagonal tiling, and triangular prism...

an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed in ordinary Euclidean...

There are only 3 unique honeycombs from the square tiling, but all 6 tiling truncations are listed below for completeness, and tiling images are shown by...

an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed in ordinary Euclidean...

Euclidean geometry, the cantitruncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space. The [4,3,3,4],...

{5,3,3} of Euclidean 4-space, and the hexagonal tiling honeycomb {6,3,3} of hyperbolic space. It is one of three {3,3,p} regular 4-polytopes with tetrahedral...