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
Voronoi diagram (redirect from Dirichlet tessellation)
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
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
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
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
Schwarz triangle (redirect from Schwarz triangle tessellation)
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
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
M. C. Escher (section Tessellation)
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
Euclidean tilings by convex regular polygons (redirect from Regular tessellation)
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
Convex uniform honeycomb (redirect from Andreini tessellation)
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
Hexagonal tiling (redirect from Hexagonal tessellation)
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
E8 lattice (redirect from Gosset tessellation)
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
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
Delaunay triangulation (redirect from Delaunay tessellation)
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
Patterns in nature (redirect from Tessellations 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
Uniform tilings in hyperbolic plane (redirect from Hyperbolic tessellation)
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
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
Aperiodic tiling (redirect from Aperiodic tessellation)
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
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
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
\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
Dual polyhedron (redirect from Dual tessellation)
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
24-cell honeycomb (redirect from 24-cell tessellation)
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
Origami (section Origami tessellations)
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
Triangular tiling (redirect from Triangular tessellation)
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
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
Square tiling (redirect from Square tessellation)
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