Category:Honeycombs (geometry)
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English: In geometry, a honeycomb is a space filling or close packing of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions.
Honeycombs are usually constructed in ordinary Euclidean ("flat") space. They may also be constructed in non-Euclidean spaces, such as hyperbolic honeycombs. Any finite uniform polytope can be projected to its circumsphere to form a uniform honeycomb in spherical space.
Русский: В геометрии сотами называют заполнение пространства или плотную упаковку многогранников или ячеек высшей размерности без зазоров. Соты — пример более общего математического понятия замощение.
Обычно рассматриваются соты в «плоском» евклидовом пространстве. Можно также строить соты в неевклидовых пространствах, например, в гиперболической геометрии Лобачевского. Путём проецирования политопа на описанную около него гиперсферу можно получить соты в сферическом пространстве.
tiling of 3-or-more dimensional Euclidean or hyperbolic space | |||||
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Subcategories
This category has the following 4 subcategories, out of 4 total.
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Media in category "Honeycombs (geometry)"
The following 26 files are in this category, out of 26 total.
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3 pieces of wallpapers and some symmetry centers FR.svg 987 × 610; 5 KB
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3 pieces of wallpapers and some symmetry centers.svg 987 × 610; 5 KB
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A rotation as composition of two reflections on wallpapers.svg 600 × 600; 5 KB
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Birds maybe on a wallpaper built from equilateral triangles.svg 600 × 600; 1 KB
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Birds on wallpaper in 4 colours from equilateral triangles.svg 600 × 600; 1 KB
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Cantitruncated cubic honeycomb.jpg 200 × 200; 16 KB
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COP26 Behind the Scenes (cop26 0189) (51647265626).jpg 5,568 × 3,712; 13.35 MB
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H3 337 UHS plane at infinity.png 744 × 744; 459 KB
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H3 338 UHS plane at infinity.png 720 × 720; 343 KB
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H3 339 UHS plane at infinity.png 720 × 720; 311 KB
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H3 33inf UHS plane at infinity.png 864 × 720; 378 KB
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Hexagonal and triangular tiles in honeycombs.svg 987 × 610; 1 KB
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Order-4 square hosohedral honeycomb-sphere.png 640 × 662; 233 KB
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Order-4 square hosohedral honeycomb-stereographic.png 1,115 × 775; 60 KB
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Order-4 square hosohedral honeycomb-stereographic2.png 1,209 × 891; 88 KB
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Order-6 triangular hosohedral honeycomb.png 885 × 894; 84 KB
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Order-6 triangular hosohedral honeycomb2.png 1,196 × 842; 181 KB
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Rhombitrihexagonal tiling snub edge coloring nonuniform.png 596 × 595; 23 KB
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Trigonal trapezohedral honeycomb.png 231 × 186; 42 KB
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Wallpaper group-cmm-1.jpg 1,528 × 1,528; 928 KB
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