and truncated hexagonal tiling facets, with a square pyramid vertex figure. It is similar to the 2D hyperbolic truncated order-4 apeirogonal tiling, t{∞...

In geometry, the truncated order-4 apeirogonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{∞,4}. A half symmetry coloring...

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...

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...

In geometry, the order-3 apeirogonal tiling is a regular tiling of the hyperbolic plane. It is represented by the Schläfli symbol {∞,3}, having three regular...

The runcicantic order-5 hexagonal tiling honeycomb, h2,3{6,3,5}, ↔ , has trihexagonal tiling, truncated icosidodecahedron, truncated dodecahedron, and...

triapeirogonal tiling, r{∞,3}, with triangle and apeirogonal faces. The truncated square tiling honeycomb, t{4,4,3}, has cube and truncated square tiling facets...

the apeirogonal prism, and the apeirogonal antiprism. Order-3 apeirogonal tiling - hyperbolic tiling Order-4 apeirogonal tiling - hyperbolic tiling Conway...

produce a truncated variation. The truncated n-gonal hosohedron is the n-gonal prism. In the limit, the hosohedron becomes an apeirogonal hosohedron...

tile 2-hypercycle surfaces, which are similar to the paracompact tilings and (the truncated infinite-order triangular tiling and order-3 apeirogonal tiling...

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

faces. Its dual tiling is an apeirogonal bipyramid. The apeirogonal tiling is the arithmetic limit of the family of prisms t{2, p} or p.4.4, as p tends to...

uniform honeycombs by truncation operations. They are higher-dimensional analogues of the order-2 apeirogonal tiling and apeirogonal hosohedron. There are...

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...

tiling. The apeirogonal antiprism can be constructed by applying an alternation operation to an apeirogonal prism. The dual tiling of an apeirogonal antiprism...

truncated and omnitruncated forms are also duplicated, therefore reducing the number of unique forms to four: the apeirogonal tiling, the apeirogonal...

geometry, the truncated triapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of tr{∞,3}. The dual of this tiling represents...

range is desirable. The pentagonal trapezohedron also exists as a spherical tiling, with 2 vertices on the poles, and alternating vertices equally spaced above...

infinite-order apeirogonal tiling, {∞,∞}, with infinite apeirogonal faces, and with all vertices on the ideal surface. The triangular tiling honeycomb...

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

Snub square tiling Trihexagonal tiling Truncated hexagonal tiling Rhombitrihexagonal tiling Truncated trihexagonal tiling Snub hexagonal tiling Elongated...

prism and apeirogonal antiprism. The stacking of the finite faces of these two prismatic tilings constructs one non-Wythoffian uniform tiling of the plane...

triangular faces can't be equilateral. Truncated tetrahedron: The four faces from the tetrahedron are truncated to become regular hexagons, and there are...

truncated infinite-order square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{4,∞}. In (*∞44) symmetry this tiling has...

tessellations. Uniform tiling Convex uniform honeycombs List of k-uniform tilings List of Euclidean uniform tilings Uniform tilings in hyperbolic plane...

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

tetrahedron is yet related to another two solids: By truncation the tetrahedron becomes a truncated tetrahedron. The dual of this solid is the triakis tetrahedron...

the geometrical truncation of an n-gonal hosohedron, as well as through the cantellation or expansion of an n-gonal dihedron. A truncated prism is formed...

regular tessellation of the Euclidean plane, even when its dual order-2 apeirogonal tiling (infinite dihedron) is. A compound of two "line segment" digons...

pentaapeirogonal tiling, r{5,∞} with pentagon and apeirogonal faces. The truncated order-6 dodecahedral honeycomb, t0,1{5,3,6} has truncated dodecahedron...