• Thumbnail for Order-4 octagonal tiling
    In geometry, the order-4 octagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {8,4}. Its checkerboard coloring can be...
    6 KB (395 words) - 21:55, 12 December 2023
  • Thumbnail for Truncated order-4 octagonal tiling
    In geometry, the truncated order-4 octagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{8,4}. A secondary construction...
    8 KB (321 words) - 21:58, 12 December 2023
  • Thumbnail for Octagonal tiling
    the octagonal tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {8,3}, having three regular octagons around...
    4 KB (392 words) - 05:56, 16 May 2024
  • Thumbnail for Order-6 octagonal tiling
    In geometry, the order-6 octagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {8,6}. This tiling represents a hyperbolic...
    4 KB (259 words) - 21:57, 12 December 2023
  • Thumbnail for Order-8 octagonal tiling
    In geometry, the order-8 octagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {8,8} (eight octagons around each vertex)...
    2 KB (224 words) - 21:58, 12 December 2023
  • is {4,8,3}, with three order-4 octagonal tilings meeting at each edge. The vertex figure of this honeycomb is an octagonal tiling, {8,3}. In the geometry...
    25 KB (1,293 words) - 00:14, 28 January 2024
  • ideal boundary) with infinitely many octagonal tilings existing around each vertex in an order-8 triangular tiling vertex arrangement. It has a second...
    8 KB (409 words) - 00:08, 28 January 2024
  • tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-3-4 octagonal honeycomb...
    8 KB (421 words) - 00:07, 28 January 2024
  • Thumbnail for Truncated order-6 octagonal tiling
    In geometry, the truncated order-6 octagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{8,6}. A secondary construction...
    4 KB (203 words) - 21:55, 12 December 2023
  • Thumbnail for Truncated order-8 octagonal tiling
    the truncated order-8 octagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{8,8}. This tiling can also be constructed...
    5 KB (249 words) - 21:58, 12 December 2023
  • order-4 octagonal tiling Order-6 octagonal tiling Order-8 octagonal tiling Truncated order-8 octagonal tiling Snub octagonal tiling Octagonal number Centered...
    1 KB (148 words) - 15:52, 27 May 2023
  • Thumbnail for Truncated octagonal tiling
    In geometry, the truncated octagonal tiling is a semiregular tiling of the hyperbolic plane. There is one triangle and two hexakaidecagons on each vertex...
    2 KB (220 words) - 21:59, 12 December 2023
  • Thumbnail for Square tiling honeycomb
    spherical space. It is also seen as a rectified order-4 square tiling honeycomb, r{4,4,4}: The square tiling honeycomb has three reflective symmetry constructions:...
    26 KB (898 words) - 18:15, 28 January 2024
  • order-3-6 octagonal honeycomb is {8,3,6}, with six octagonal tilings meeting at each edge. The vertex figure of this honeycomb is a triangular tiling...
    8 KB (457 words) - 00:08, 28 January 2024
  • Thumbnail for Order-8 square tiling
    In geometry, the order-8 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,8}. This tiling represents a hyperbolic...
    3 KB (247 words) - 18:38, 18 January 2024
  • Thumbnail for Order-4 square tiling honeycomb
    The runcitruncated order-4 square tiling honeycomb, t0,1,3{4,4,4}, has square tiling, truncated square tiling, cube, and octagonal prism facets, with...
    20 KB (845 words) - 00:08, 28 January 2024
  • Thumbnail for Order-4 hexagonal tiling honeycomb
    of the order-4 hexagonal tiling honeycomb is {6,3,4}. Since that of the hexagonal tiling is {6,3}, this honeycomb has four such hexagonal tilings meeting...
    27 KB (976 words) - 14:59, 15 January 2024
  • 3-space, the order-3-5 octagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an octagonal tiling whose vertices...
    7 KB (412 words) - 00:07, 28 January 2024
  • sphere. The Schläfli symbol of the order-4-3 octagonal honeycomb is {8,4,3}, with three order-4 octagonal tilings meeting at each edge. The vertex figure of...
    10 KB (619 words) - 00:08, 28 January 2024
  • heptagonal tiling honeycomb or 7,3,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a heptagonal tiling whose...
    9 KB (469 words) - 00:04, 24 January 2024
  • Thumbnail for Octagonal prism
    the octagonal prism is a prism comprising eight rectangular sides joining two regular octagon caps. The octagonal prism can also be seen as a tiling on...
    2 KB (79 words) - 14:36, 6 November 2023
  • Thumbnail for Cantic octagonal tiling
    In geometry, the tritetratrigonal tiling or shieldotritetragonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t1,2(4...
    2 KB (151 words) - 21:56, 12 December 2023
  • Thumbnail for Dihedron
    called bihedra, flat polyhedra, or doubly covered polygons. As a spherical tiling, a dihedron can exist as nondegenerate form, with two n-sided faces covering...
    6 KB (627 words) - 20:28, 3 February 2023
  • order-5 octagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-5-3...
    12 KB (704 words) - 00:14, 28 January 2024
  • Thumbnail for Rhombitetraoctagonal tiling
    tiling, r{8,4}, as well as an expanded order-4 octagonal tiling or expanded order-8 square tiling. There are two uniform constructions of this tiling...
    4 KB (288 words) - 21:59, 12 December 2023
  • Thumbnail for Octagon
    square tiling has 2 octagons around every vertex. An octagonal prism contains two octagonal faces. An octagonal antiprism contains two octagonal faces...
    18 KB (2,142 words) - 21:34, 16 May 2024
  • Thumbnail for Rhombitrioctagonal tiling
    rhombitrioctagonal tiling is a semiregular tiling of the hyperbolic plane. At each vertex of the tiling there is one triangle and one octagon, alternating between...
    3 KB (339 words) - 21:59, 12 December 2023
  • the octagonal tiling honeycomb is {6,4,4}, with three octagonal tilings meeting at each edge. The vertex figure of this honeycomb is a square tiling, {4...
    7 KB (416 words) - 00:08, 28 January 2024
  • Thumbnail for Snub trioctagonal tiling
    In geometry, the order-3 snub octagonal tiling is a semiregular tiling of the hyperbolic plane. There are four triangles, one octagon on each vertex. It...
    3 KB (257 words) - 21:57, 12 December 2023
  • Uniform tiling Convex uniform honeycombs List of k-uniform tilings List of Euclidean uniform tilings Uniform tilings in hyperbolic plane...
    15 KB (20 words) - 21:09, 22 April 2024