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Что (кто) такое tessellation$82487$ - определение
A TILING OF THE PLANE BY PENTAGONS
Hirschhorn tiling; Pentagonal Tiling; Pentagon tiling; Pentagonal tessellation; Tessellating pentagons
![Polygonal hyperbolic [[binary tiling]] with 60-120-60-120-120-degree pentagons](https://commons.wikimedia.org/wiki/Special:FilePath/Binary tiling straight.svg?width=200 "Polygonal hyperbolic [[binary tiling]] with 60-120-60-120-120-degree pentagons")
Centroidal Voronoi tessellation
GEOMETRIC OBJECT
Centroidal Voronoi Tessellation; Centroidal voronoi tessellation
In geometry, a centroidal Voronoi tessellation (CVT) is a special type of Voronoi tessellation in which the generating point of each Voronoi cell is also its centroid (center of mass). It can be viewed as an optimal partition corresponding to an optimal distribution of generators.
Architectonic and catoptric tessellation
UNIFORM EUCLIDEAN 3D TESSELLATIONS AND THEIR DUALS
Catoptric tessellation
In geometry, John Horton Conway defines architectonic and catoptric tessellations as the uniform tessellations (or honeycombs) of Euclidean 3-space with prime space groups and their duals, as three-dimensional analogue of the Platonic, Archimedean, and Catalan tiling of the plane. The singular vertex figure of an architectonic tessellation is the dual of the cell of catoptric tessellation.
Edge tessellation
TILING BY POLYGONS WHOSE REFLECTIONS ACROSS EDGES ARE OTHER TILES
User:Hsapp1994/sandbox; Edge Tesselations; Edge tessellations; Edge Tessellation
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 of these polygons across any of its edges is another polygon in the tessellation.
Википедия
Pentagonal tiling
In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a pentagon.
A regular pentagonal tiling on the Euclidean plane is impossible because the internal angle of a regular pentagon, 108°, is not a divisor of 360°, the angle measure of a whole turn. However, regular pentagons can tile the hyperbolic plane with four pentagons around each vertex (or more) and sphere with three pentagons; the latter produces a tiling that is topologically equivalent to the dodecahedron.
