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...

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

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

shader class called a tessellation shader has been added. It adds two new shader stages to the traditional model: tessellation control shaders (also known...

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...

automata are also called cellular spaces, tessellation automata, homogeneous structures, cellular structures, tessellation structures, and iterative arrays. Cellular...

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...

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

In geometry, the elongated dodecahedron, extended rhombic dodecahedron, rhombo-hexagonal dodecahedron or hexarhombic dodecahedron is a convex dodecahedron...

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

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...

fractured into polygonal blocks that resemble tiles of a mosaic floor, or tessellations. Four types of tessellated pavements are recognized: tessellated pavements...

can be used to construct close approximations to centroidal Voronoi tessellations of the input, which can be used for quantization, dithering, and stippling...

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...

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

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

} {\displaystyle \{p,q,r,...\}} that defines regular polytopes and tessellations. The Schläfli symbol is named after the 19th-century Swiss mathematician...

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

mathematics, a prototile is one of the shapes of a tile in a tessellation. A tessellation of the plane or of any other space is a cover of the space by...

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...

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

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...

An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches.[clarification...

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...

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

In applied mathematics, a Gilbert tessellation or random crack network is a mathematical model for the formation of mudcracks, needle-like crystals, and...

This is a list of tessellations. Uniform tiling Convex uniform honeycombs List of k-uniform tilings List of Euclidean uniform tilings Uniform tilings...