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3-space, the order-4-4 pentagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a pentagonal tiling whose...

order-4-3 pentagonal honeycomb or 5,4,3 honeycomb is a regular space-filling tessellation (or honeycomb). Each infinite cell is an order-4 pentagonal...

geometry of hyperbolic 3-space, the order-4-5 pentagonal honeycomb a regular space-filling tessellation (or honeycomb) with Schläfli symbol {5,4,5}. All...

In geometry, the order-4 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,4}. It can also be called a pentapentagonal...

truncated order-4 pentagonal tiling, t{5,4} with truncated pentagon and square faces: The bitruncated order-4 dodecahedral honeycomb, or bitruncated order-5 cubic...

regular polychora and honeycombs {p,6,p}: In the geometry of hyperbolic 3-space, the order-6-5 pentagonal honeycomb (or 5,6,5 honeycomb) a regular space-filling...

regular polychora and honeycombs {p,5,p}: In the geometry of hyperbolic 3-space, the order-5-5 pentagonal honeycomb (or 5,5,5 honeycomb) a regular space-filling...

around each vertex in an order-4 pentagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,51,1}...

order-6-3 pentagonal honeycomb is {5,7,3}, with three order-7 pentagonal tilings meeting at each edge. The vertex figure of this honeycomb is a heptagonal...

and pentagonal faces: It is similar to the Euclidean (order-4) runcinated cubic honeycomb, t0,3{4,3,4}: The runcitruncated order-5 cubic honeycomb or runcicantellated...

order-6-3 pentagonal honeycomb is {5,8,3}, with three order-8 pentagonal tilings meeting at each edge. The vertex figure of this honeycomb is an octagonal...

the order-6-3 pentagonal honeycomb is {5,∞,3}, with three infinite-order pentagonal tilings meeting at each edge. The vertex figure of this honeycomb is...

16-cell is also related to the cubic honeycomb, order-4 dodecahedral honeycomb, and order-4 hexagonal tiling honeycomb which all have octahedral vertex figures...

of the order-5-3 pentagonal honeycomb is {5,5,3}, with three order-5 pentagonal tilings meeting at each edge. The vertex figure of this honeycomb is a dodecahedron...

cells, with a pentagonal prism vertex figure. There are four rectified compact regular honeycombs: The truncated order-5 dodecahedral honeycomb, , has icosahedron...

In geometry, the truncated order-4 pentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{5,4}. A half symmetry...

Monogonal dihedron Digonal dihedron Trigonal dihedron Square dihedron Pentagonal dihedron ... Apeirogonal dihedron Tiling image ... Schläfli symbol {1...

is also in a sequence of regular 4-polytope and honeycombs, {4,3,p} with cubic cells. The regular complex polytope 4{4}2, , in C 2 {\displaystyle \mathbb...

which represents the dihedral symmetry D n h {\displaystyle D_{nh}} , order 4 n {\displaystyle 4n} . The tetragonal hosohedron is topologically equivalent...

cells, along with the 16-cell {3,3,4} and 600-cell {3,3,5}. The order-6 tetrahedral honeycomb {3,3,6} of hyperbolic space also has tetrahedral cells. It is...