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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]
This is a list of tessellations. This list is incomplete; you can help by adding missing items. (May 2021) Spherical ... {∞,5} Infinite-order apeirogonal tiling:
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.
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 .
v3.3.5.3.5 Polygonal hyperbolic binary tiling with 60-120-60-120-120-degree pentagons A version of the binary tiling , with its tiles bounded by hyperbolic line segments rather than arcs of horocycles , forms pentagonal tilings that must be non-periodic, in the sense that their symmetry groups can be one-dimensional but not two-dimensional.
This tiling represents a hyperbolic kaleidoscope of 5 mirrors meeting as edges of a regular pentagon. This symmetry by orbifold notation is called *22222 with 5 order-2 mirror intersections. In Coxeter notation can be represented as [5 *,4], removing two of three mirrors (passing through the pentagon center) in the [5,4] symmetry.
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 .
Pages in category "Tessellation" The following 43 pages are in this category, out of 43 total. This list may not reflect recent changes. ...