About: Trihexagonal tiling

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In geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular polygons. It consists of equilateral triangles and regular hexagons, arranged so that each hexagon is surrounded by triangles and vice versa. The name derives from the fact that it combines a regular hexagonal tiling and a regular triangular tiling. Two hexagons and two triangles alternate around each vertex, and its edges form an infinite arrangement of lines. Its dual is the rhombille tiling.

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rdf:type	yago:Abstraction100002137 yago:Act100030358 yago:Activity100407535 yago:Event100029378 yago:Occupation100582388 yago:PsychologicalFeature100023100 yago:WikicatJapaneseCrafts yago:YagoPermanentlyLocatedEntity yago:Trade100606370
rdfs:label	Tri-seslatera kahelaro (eo) Pavage trihexagonal (fr) 籠目 (ja) Trihexagonal tiling (en) Тришестиугольная мозаика (ru) 截半六邊形鑲嵌 (zh)
rdfs:comment	En geometrio, la tri-seslatera kahelaro estas kahelaro de la eŭklida ebeno. Estas du trianguloj kaj du seslateroj alterne ĉirkaŭ ĉiu vertico. Ĝia simbolo de Schläfli estas t1{6,3}. La kahelaro povas esti konstruita per rektigo de la regula seslatera kahelaro aŭ per rektigo de la regula triangula kahelaro. (eo) Le pavage trihexagonal est, en géométrie, un pavage semi-régulier du plan euclidien, constitué de triangles équilatéraux et d'hexagones. Au Japon, ce pavage est utilisé en vannerie sous le nom de Kagomé. En physique, ce pavage est appelé réseau de Kagomé d'après le terme japonais. On l'observe dans la structure cristalline de certains matériaux, notamment l'herbertsmithite. Il est très étudié en magnétisme car sa frustration géométrique génère des phases magnétiques exotiques, comme le liquide de spin. * Portail de la géométrie (fr) 籠目（かごめ）とは、竹や籐などで編んだ籠の網の目、またはその連続した格子状の編組のことである。編組の種類には、基本となる六つ目編み、四つ目編み、ござ目編み、網代編み、さらには、異なる太さのひごを駆使した波網代や、麻の葉編み、松葉編み、やたら編みといった装飾的な特徴を高めたものなど、用途に応じて様々なパターンがある。この籠目を模した連続文様は魔除けの効果があるといわれる。 (ja) 在幾何學中，截半六邊形鑲嵌是一種平面密鋪，是一種由兩種正多邊形組成的半正鑲嵌圖，該半正鑲嵌圖是由正三角形和正六邊形組成，每一個頂點周圍都各有2個正三角形和正六邊形，在施萊夫利符號中用t1{6,3}來表示；此外其邊緣形成一個無限排列的直線。康威稱截半六邊形鑲嵌為hexadeltille，因為它可以從正六邊形鑲嵌（hextille）和正三角形鑲嵌（deltille）的元素替代、互相結合來構造，另外截半六邊形鑲嵌也可以用六邊形鑲嵌經過截半變換來構造。 (zh) In geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular polygons. It consists of equilateral triangles and regular hexagons, arranged so that each hexagon is surrounded by triangles and vice versa. The name derives from the fact that it combines a regular hexagonal tiling and a regular triangular tiling. Two hexagons and two triangles alternate around each vertex, and its edges form an infinite arrangement of lines. Its dual is the rhombille tiling. (en) Тришестиугольная мозаика — это одна из 11 однородных мозаик на евклидовой плоскости из правильных многоугольников. Мозаика состоит из правильных треугольников и правильных шестиугольников, расположенных так, что каждый шестиугольник окружён треугольниками, и наоборот. Название мозаики вызвано тем фактом, что она комбинирует правильную шестиугольную мозаику и правильную треугольную мозаику. Два шестиугольника и два треугольника чередуются вокруг каждой вершины, а рёбра образуют бесконечную конфигурацию прямых. Двойственная мозаика — ромбическая. (ru)
foaf:depiction
dcterms:subject	Euclidean tilings Quasiregular polyhedra Isotoxal tilings Semiregular tilings Isogonal tilings Japanese bamboowork Crystallography
Wikipage page ID	2864397 (xsd:integer)
Wikipage revision ID	1095214685 (xsd:integer)
Link from a Wikipage to another Wikipage	Schläfli symbol Euclidean tilings List of uniform tilings Regular hexagon Regular polygon Rhombille tiling Quasiregular polyhedra Cyclotruncated simplectic honeycomb Vertex configuration Kôdi Husimi List of planar symmetry groups Equilateral triangle Geometry Crystal structure Star of David Isotoxal tilings Fundamental domain Harmonices Mundi Symmetry Triangular tiling Wallpaper group Lath Lattice (group) Orbifold notation Semiregular tilings Isogonal tilings Japanese bamboowork dbt:Hexagonal_tiling_table Rectification (geometry) Herbertsmithite Atom Jarosite Tetrahedra Vertex figure Arrangement of lines Crystallography Johannes Kepler John Horton Conway Kagome crest Kagome metal Hexagonal tiling Percolation threshold Weaving Circle packing Tiling by regular polygons Mineral Wythoff symbol Kissing number Geometrically frustrated magnet Vertex (geometry) Euclidean plane Uniform coloring Wythoff construction

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