• Thumbnail for Tessellation
    A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In...
    58 KB (6,042 words) - 15:25, 3 July 2024
  • Thumbnail for Voronoi diagram
    close to each of a given set of objects. It can be classified also as a tessellation. In the simplest case, these objects are just finitely many points in...
    46 KB (5,590 words) - 18:51, 13 June 2024
  • Thumbnail for Tessellation (computer graphics)
    In computer graphics, tessellation is the dividing of datasets of polygons (sometimes called vertex sets) presenting objects in a scene into suitable structures...
    6 KB (618 words) - 02:04, 15 December 2023
  • Thumbnail for Shader
    Shader (redirect from Tessellation shader)
    vertex shader is called for each vertex in a primitive (possibly after tessellation); thus one vertex in, one (updated) vertex out. Each vertex is then rendered...
    21 KB (2,388 words) - 14:15, 2 June 2024
  • A uniform tessellation may be: A uniform tiling in two dimensions A uniform honeycomb in higher dimensions This disambiguation page lists articles associated...
    142 bytes (49 words) - 04:21, 4 October 2023
  • Thumbnail for Edge tessellation
    In geometry, an edge tessellation is a partition of the plane into non-overlapping polygons (a tessellation) with the property that the reflection of any...
    3 KB (327 words) - 22:53, 9 April 2024
  • Thumbnail for Schwarz triangle
    classified in Schwarz (1873). These can be defined more generally as tessellations of the sphere, the Euclidean plane, or the hyperbolic plane. Each Schwarz...
    78 KB (10,928 words) - 01:40, 26 June 2024
  • Thumbnail for Centroidal Voronoi tessellation
    Voronoi tessellations of five points in a square In geometry, a centroidal Voronoi tessellation (CVT) is a special type of Voronoi tessellation in which...
    4 KB (411 words) - 10:59, 15 January 2024
  • Thumbnail for M. C. Escher
    perspective, truncated and stellated polyhedra, hyperbolic geometry, and tessellations. Although Escher believed he had no mathematical ability, he interacted...
    61 KB (6,306 words) - 20:22, 17 June 2024
  • Thumbnail for Euclidean tilings by convex regular polygons
    generate a covered plane given the notation alone. And second, some tessellations have the same nomenclature, they are very similar but it can be noticed...
    31 KB (1,987 words) - 01:24, 26 June 2024
  • Thumbnail for Convex uniform honeycomb
    In geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral...
    67 KB (2,193 words) - 22:18, 11 May 2024
  • Thumbnail for Hexagonal tiling
    In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex...
    16 KB (1,286 words) - 23:15, 8 March 2024
  • In mathematics, the E8 lattice is a special lattice in R8. It can be characterized as the unique positive-definite, even, unimodular lattice of rank 8...
    22 KB (3,560 words) - 01:16, 25 June 2024
  • Thumbnail for Architectonic and catoptric tessellation
    John Horton Conway defines architectonic and catoptric tessellations as the uniform tessellations (or honeycombs) of Euclidean 3-space with prime space...
    18 KB (513 words) - 19:33, 6 September 2023
  • Thumbnail for Delaunay triangulation
    the density or intensity of points samplings by means of the Delaunay tessellation field estimator (DTFE). Delaunay triangulations are often used to generate...
    28 KB (3,181 words) - 17:12, 14 May 2024
  • Thumbnail for Patterns in nature
    patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Early Greek philosophers studied pattern, with...
    61 KB (6,782 words) - 01:52, 25 April 2024
  • products: hardware tessellation with TeraScale. Support for hardware tessellation only became mandatory in Direct3D 11 and OpenGL 4. Tessellation as defined in...
    6 KB (573 words) - 14:03, 11 February 2024
  • Archimedean Tessellations) Wikimedia Commons has media related to Uniform tilings of the hyperbolic plane. Hatch, Don. "Hyperbolic Planar Tessellations". Retrieved...
    30 KB (1,586 words) - 18:07, 31 December 2023
  • Thumbnail for Digon
    bound by closed line segments, this tessellation is usually not considered to be an additional regular tessellation of the Euclidean plane, even when its...
    6 KB (688 words) - 01:15, 29 June 2024
  • Thumbnail for Aperiodic tiling
    An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set...
    29 KB (3,445 words) - 23:13, 28 March 2024
  • of carrying out tessellation. Those are similar to the programmable units of the Xenos GPU which is used in the Xbox 360. Tessellation was officially specified...
    41 KB (3,111 words) - 09:33, 4 April 2024
  • Thumbnail for Cubic honeycomb
    Cubic honeycomb (category Regular tessellations)
    honeycomb or cubic cellulation is the only proper regular space-filling tessellation (or honeycomb) in Euclidean 3-space made up of cubic cells. It has 4...
    66 KB (3,191 words) - 14:11, 7 October 2023
  • Thumbnail for Vertex (geometry)
    of a plane tiling or tessellation is a point where three or more tiles meet; generally, but not always, the tiles of a tessellation are polygons and the...
    9 KB (911 words) - 01:45, 5 July 2024
  • 2
    \chi =2-k} .[citation needed] The simplest tessellation in two-dimensional space, though an improper tessellation, is that of two ∞ {\displaystyle \infty...
    35 KB (4,325 words) - 17:20, 27 June 2024
  • Thumbnail for Dual polyhedron
    to give a (n − j)-dimensional element. The dual of an n-dimensional tessellation or honeycomb can be defined similarly. In general, the facets of a polytope's...
    18 KB (2,264 words) - 14:35, 3 July 2024
  • Thumbnail for 24-cell honeycomb
    honeycomb, or icositetrachoric honeycomb is a regular space-filling tessellation (or honeycomb) of 4-dimensional Euclidean space by regular 24-cells....
    13 KB (1,392 words) - 23:35, 18 April 2024
  • Thumbnail for Origami
    the very strict constraints. Origami tessellation is a branch that has grown in popularity after 2000. A tessellation is a collection of figures filling...
    48 KB (5,885 words) - 03:17, 21 June 2024
  • Thumbnail for Triangular tiling
    In 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...
    10 KB (858 words) - 16:55, 8 March 2024
  • Thumbnail for Tetrahedral-octahedral honeycomb
    honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of alternating regular...
    33 KB (2,200 words) - 06:44, 30 December 2023
  • Thumbnail for Square tiling
    In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane. It has Schläfli symbol of {4,4}, meaning...
    9 KB (619 words) - 19:23, 23 March 2024