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...

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...

In computer graphics, tessellation is the dividing of datasets of polygons (sometimes called vertex sets) presenting objects in a scene into suitable structures...

A uniform tessellation may be: A uniform tiling in two dimensions A uniform honeycomb in higher dimensions This disambiguation page lists articles associated...

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...

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...

Voronoi tessellations of five points in a square In geometry, a centroidal Voronoi tessellation (CVT) is a special type of Voronoi tessellation in which...

classified in Schwarz (1873). These can be defined more generally as tessellations of the sphere, the Euclidean plane, or the hyperbolic plane. Each Schwarz...

perspective, truncated and stellated polyhedra, hyperbolic geometry, and tessellations. Although Escher believed he had no mathematical ability, he interacted...

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...

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...

In geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral...

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...

the density or intensity of points samplings by means of the Delaunay tessellation field estimator (DTFE). Delaunay triangulations are often used to generate...

products: hardware tessellation with TeraScale. Support for hardware tessellation only became mandatory in Direct3D 11 and OpenGL 4. Tessellation as defined in...

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...

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...

John Horton Conway defines architectonic and catoptric tessellations as the uniform tessellations (or honeycombs) of Euclidean 3-space with prime space...

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...

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...

the very strict constraints. Origami tessellation is a branch that has grown in popularity after 2000. A tessellation is a collection of figures filling...

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...

Archimedean Tessellations) Wikimedia Commons has media related to Uniform tilings of the hyperbolic plane. Hatch, Don. "Hyperbolic Planar Tessellations". Retrieved...

David Klarner who investigated them. Each individual polyhex tile and tessellation polyhexes and can be drawn on a regular hexagonal tiling. The rules for...

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...

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...

no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. Its dimension can be clarified as n-honeycomb...

\chi =2-k} .[citation needed] The simplest tessellation in two-dimensional space, though an improper tessellation, is that of two ∞ {\displaystyle \infty...

rank > 1 in higher dimensions. There are no Euclidean regular star tessellations in any number of dimensions. There is only one polytope of rank 1 (1-polytope)...

of a dodecahedral tessellation in H3. Four dodecahedra meet at each edge, and eight meet at each vertex, like the cubes of a cubic tessellation in E3...