• Thumbnail for Truncated infinite-order square tiling
    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...
    5 KB (244 words) - 21:57, 12 December 2023
  • Thumbnail for Truncated square tiling
    In geometry, the truncated square tiling is a semiregular tiling by regular polygons of the Euclidean plane with one square and two octagons on each vertex...
    8 KB (711 words) - 22:07, 12 December 2023
  • Thumbnail for Truncated trihexagonal tiling
    In geometry, the truncated trihexagonal tiling is one of eight semiregular tilings of the Euclidean plane. There are one square, one hexagon, and one dodecagon...
    10 KB (728 words) - 21:54, 12 December 2023
  • Thumbnail for Order-4 square tiling honeycomb
    cantitruncated order-4 square tiling honeycomb, is the same as the truncated square tiling honeycomb, . It contains cube and truncated square tiling facets,...
    20 KB (845 words) - 16:57, 3 August 2024
  • Thumbnail for Truncated trioctagonal tiling
    In geometry, the truncated trioctagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one hexagon, and one hexadecagon...
    6 KB (441 words) - 21:58, 12 December 2023
  • Thumbnail for Order-6 cubic honeycomb
    hyperbolic truncated infinite-order square tiling, t{4,∞}, with apeirogonal and octagonal (truncated square) faces: The bitruncated order-6 cubic honeycomb...
    21 KB (908 words) - 16:48, 3 August 2024
  • Thumbnail for Euclidean tilings by convex regular polygons
    vertices with 2 different vertex types, so this tiling would be classed as a ‘3-uniform (2-vertex types)’ tiling. Broken down, 36; 36 (both of different transitivity...
    31 KB (1,981 words) - 20:14, 6 August 2024
  • Thumbnail for Square tiling honeycomb
    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...
    26 KB (898 words) - 16:48, 3 August 2024
  • Thumbnail for Hexagonal tiling honeycomb
    hyperbolic truncated order-3 apeirogonal tiling, t{∞,3} with apeirogonal and triangle faces: The bitruncated hexagonal tiling honeycomb or bitruncated order-6...
    21 KB (843 words) - 16:48, 3 August 2024
  • Thumbnail for Order-4 hexagonal tiling honeycomb
    The cantitruncated order-4 hexagonal tiling honeycomb, t0,1,2{6,3,4}, has truncated octahedron, cube, and truncated trihexagonal tiling cells, with a mirrored...
    27 KB (976 words) - 16:57, 3 August 2024
  • Thumbnail for Truncated order-4 apeirogonal tiling
    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...
    7 KB (252 words) - 21:56, 12 December 2023
  • Thumbnail for Order-5 hexagonal tiling honeycomb
    The cantitruncated order-5 hexagonal tiling honeycomb, t0,1,2{6,3,5}, has truncated icosahedron, truncated trihexagonal tiling, and pentagonal prism...
    22 KB (832 words) - 16:48, 3 August 2024
  • Thumbnail for Tessellation
    Tessellation (redirect from Periodic tiling)
    wallpaper groups. A tiling that lacks a repeating pattern is called "non-periodic". An aperiodic tiling uses a small set of tile shapes that cannot form...
    58 KB (6,042 words) - 15:25, 3 July 2024
  • Thumbnail for Order-4 octahedral honeycomb
    The cantitruncated order-4 octahedral honeycomb, t0,1,2{3,4,4}, has truncated cuboctahedron, cube, and truncated square tiling facets, with a mirrored...
    14 KB (615 words) - 16:57, 3 August 2024
  • Thumbnail for Tetrakis square tiling
    In geometry, the tetrakis square tiling is a tiling of the Euclidean plane. It is a square tiling with each square divided into four isosceles right triangles...
    11 KB (852 words) - 19:14, 20 October 2021
  • triangular faces can't be equilateral. Truncated tetrahedron: The four faces from the tetrahedron are truncated to become regular hexagons, and there are...
    33 KB (3,297 words) - 12:32, 28 July 2024
  • Thumbnail for Order-6 hexagonal tiling honeycomb
    of the triangular tiling is {3,6}, the vertex figure of this honeycomb is a triangular tiling. Thus, infinitely many hexagonal tilings meet at each vertex...
    24 KB (961 words) - 16:48, 3 August 2024
  • Thumbnail for Square antiprism
    In geometry, the square antiprism is the second in an infinite family of antiprisms formed by an even-numbered sequence of triangle sides closed by two...
    7 KB (784 words) - 21:33, 22 May 2023
  • Thumbnail for Hosohedron
    modified in the same manner as the other polyhedra to produce a truncated variation. The truncated n-gonal hosohedron is the n-gonal prism. In the limit, the...
    8 KB (592 words) - 20:45, 25 January 2023
  • hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbolic tiling) is an edge-to-edge filling of the hyperbolic...
    30 KB (1,586 words) - 13:40, 31 July 2024
  • Snub square tiling Trihexagonal tiling Truncated hexagonal tiling Rhombitrihexagonal tiling Truncated trihexagonal tiling Snub hexagonal tiling Elongated...
    47 KB (3,580 words) - 17:01, 29 June 2024
  • tile alongside other regular figures, ten of the eleven regular and semiregular tilings of the plane are Wythoffian (the elongated triangular tiling is...
    22 KB (2,487 words) - 21:49, 8 August 2024
  • Thumbnail for Snub (geometry)
    Snub (geometry) (redirect from Snub tiling)
    polyhedron (or tiling), with Schläfli symbol { p , q } {\displaystyle {\begin{Bmatrix}p,q\end{Bmatrix}}} , and Coxeter diagram , has truncation defined as...
    25 KB (1,424 words) - 16:35, 5 June 2024
  • Thumbnail for Truncated tetraapeirogonal tiling
    In geometry, the truncated tetraapeirogonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one octagon, and one apeirogon...
    7 KB (265 words) - 21:59, 12 December 2023
  • Thumbnail for Order-5 dodecahedral honeycomb
    wedge vertex figure. The cantitruncated order-5 dodecahedral honeycomb, , has truncated icosidodecahedron, truncated icosahedron, and pentagonal prism cells...
    16 KB (663 words) - 16:48, 3 August 2024
  • Thumbnail for Conway polyhedron notation
    Trihexagonal tiling aH = aΔ Truncated hexagonal tiling tH Rhombitrihexagonal tiling eH = eΔ Truncated trihexagonal tiling bH = bΔ Snub trihexagonal tiling sH =...
    46 KB (2,672 words) - 00:45, 19 March 2024
  • Thumbnail for Hexagonal prism
    and the fourth in an infinite set of prisms formed by square sides and two regular polygon caps. It can be seen as a truncated hexagonal hosohedron,...
    7 KB (445 words) - 05:20, 14 August 2024
  • Thumbnail for Tetrahedral-octahedral honeycomb
    is an order-3 truncated triakis tetrahedron. This honeycomb is the dual of the triakis truncated tetrahedral honeycomb, with triakis truncated tetrahedral...
    33 KB (2,200 words) - 03:59, 24 July 2024
  • Thumbnail for Order-4 square hosohedral honeycomb
    part of a sequence of honeycombs with a square tiling vertex figure: The {2,4,4} honeycomb can be truncated as t{2,4,4} or {}×{4,4}, Coxeter diagram...
    4 KB (189 words) - 16:57, 3 August 2024
  • Thumbnail for Prism (geometry)
    polyhedral net can be cut from two rows of a square tiling (with vertex configuration 4.4.4.4): a band of n squares, each attached to a crossed rectangle. An...
    20 KB (1,852 words) - 05:30, 7 May 2024