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Let be a metric space with distance function .Let be a set of indices and let () be a tuple (indexed collection) of nonempty subsets (the sites) in the space .The Voronoi cell, or Voronoi region, , associated with the site is the set of all points in whose distance to is not greater than their distance to the other sites , where is any index different from .
In Latin, tessella is a small cubical piece of clay, stone, or glass used to make mosaics. [12] The word "tessella" means "small square" (from tessera, square, which in turn is from the Greek word τέσσερα for four). It corresponds to the everyday term tiling, which refers to applications of tessellations, often made of glazed clay.
This is a list of tessellations. This list is incomplete; you can help by adding missing items. (May 2021) Spherical ... 3 5 {3,5} Spherical dodecahedron: 5 3 {5,3}
The amount of marbles consumed was displayed at the top of the dome for each player. The more marbles a hippo consumed, the more tickets that hippo's player received. The previous year, Sinclair User published a game called "Piggy Punks", written by Hellenic Software for the ZX Spectrum, [2] which was inspired by the board game. The game showed ...
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In computer graphics, tessellation is the dividing of datasets of polygons (sometimes called vertex sets) presenting objects in a scene into suitable structures for rendering. Especially for real-time rendering , data is tessellated into triangles , for example in OpenGL 4.0 and Direct3D 11 .
The union of all edges of a Cairo tiling is the same as the union of two tilings of the plane by hexagons.Each hexagon of one tiling surrounds two vertices of the other tiling, and is divided by the hexagons of the other tiling into four of the pentagons in the Cairo tiling. [4]
In geometry, the icosahedral honeycomb is one of four compact, regular, space-filling tessellations (or honeycombs) in hyperbolic 3-space.With Schläfli symbol {3,5,3}, there are three icosahedra around each edge, and 12 icosahedra around each vertex, in a regular dodecahedral vertex figure.