In geometry, the order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There...

In geometry, the truncated order-8 triangular tiling is a semiregular tiling of the hyperbolic plane. There are two hexagons and one octagon on each vertex...

honeycombs: q{2p,4,2q} The truncated order-6 hexagonal tiling honeycomb, t0,1{6,3,6}, has triangular tiling and truncated hexagonal tiling facets, with a hexagonal...

the truncated infinite-order triangular tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of t{3,∞}. The dual of this tiling represents...

hyperbolic truncated order-3 apeirogonal tiling, t{∞,3} with apeirogonal and triangle faces: The bitruncated hexagonal tiling honeycomb or bitruncated order-6...

are 8 forms, 7 which are topologically distinct. (The truncated triangular tiling is topologically identical to the hexagonal tiling.) This tiling is topologically...

one of three regular tilings of the plane. The other two are the triangular tiling and the square tiling. The hexagonal tiling has a structure consisting...

with a triangular cupola vertex figure. The runcicantic order-5 hexagonal tiling honeycomb, h2,3{6,3,5}, ↔ , has trihexagonal tiling, truncated icosidodecahedron...

order-4 hexagonal tiling honeycomb, ↔ , is composed of trihexagonal tiling, truncated cuboctahedron, truncated cube, and triangular prism cells, with...

In geometry, the snub tritetratrigonal tiling or snub order-8 triangular tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbols of...

2t{4,4,3}, has truncated cube and truncated square tiling facets, with a digonal disphenoid vertex figure. The cantellated square tiling honeycomb, rr{4...

honeycomb, {4,4,3}, . The truncated order-4 square tiling honeycomb, t0,1{4,4,4}, has square tiling and truncated square tiling facets, with a square pyramid...

geometry, the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane, and is the only such tiling where the...

geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and...

densest packing from the triangular tiling. This semiregular tiling is a member of a sequence of snubbed polyhedra and tilings with vertex figure (3.3...

constructed as a cantic order-6 hexagonal tiling honeycomb, ↔ . A second lower-index construction is ↔ . The truncated triangular tiling honeycomb, , is a lower-symmetry...

In geometry, the truncated heptagonal tiling is a semiregular tiling of the hyperbolic plane. There are one triangle and two tetradecagons on each vertex...

The truncated trihexagonal tiling has three related 2-uniform tilings, one being a 2-uniform coloring of the semiregular rhombitrihexagonal tiling. The...

a convex polyhedron constructed by truncating the 8 order-3 vertices of the rhombic dodecahedron. These truncated vertices become congruent equilateral...

a truncated order-8 square tiling, t{4,8}. Like the hexagonal tiling of the Euclidean plane, there are 3 uniform colorings of this hyperbolic tiling. The...

snub square tiling can be constructed as a snub operation from the square tiling, or as an alternate truncation from the truncated square tiling. An alternate...

below as spherical tilings. For p < 6, they are tilings of the hyperbolic plane, starting with the truncated triheptagonal tiling. It is first in a series...

two equilateral triangle faces. Truncated triangular trapezohedron, also called Dürer's solid: Obtained by truncating two opposite corners of a cube or...

honeycombs with triangular tiling vertex figures. The rectified order-6 tetrahedral honeycomb, t1{3,3,6} has octahedral and triangular tiling cells arranged...

geometry, the truncated order-3 apeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of t{∞,3}. The dual tiling, the infinite-order...

In geometry, the truncated hexaoctagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one dodecagon, and one hexakaidecagon...

hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbolic tiling) is an edge-to-edge filling of the hyperbolic...

trihexagonal tiling can be geometrically distorted into topologically equivalent tilings of lower symmetry. In these variants of the tiling, the edges do...

hyperbolic truncated order-5 square tiling, t{4,5}, with truncated square and pentagonal faces: It is similar to the Euclidean (order-4) truncated cubic honeycomb...

topologically distinct. (The truncated triangular tiling is topologically identical to the hexagonal tiling.) This tiling is topologically related as a...