| dbo:abstract |
Triheptagonální dláždění je způsob v hyperbolické geometrii. Každý vrchol se nachází na pomezí dvou trojúhelníků a dvou šestiúhelníků, každá hrana odděluje šestiúhelník od trojúhelníka. (cs) En geometrio, la tri-seplatera kahelaro estas kahelaro de la hiperbola ebeno. Estas du trianguloj kaj du (seplateroj, seplateras) alterna sur ĉiu vertico. Ĝia simbolo de Schläfli estas t1{7,3}. La kahelaro povas esti konstruita per rektigo de la regula ordo-3 seplatera kahelaro aŭ per rektigo de la regula ordo-7 triangula kahelaro. (eo) In geometry, the triheptagonal tiling is a semiregular tiling of the hyperbolic plane, representing a rectified Order-3 heptagonal tiling. There are two triangles and two heptagons alternating on each vertex. It has Schläfli symbol of r{7,3}. Compare to trihexagonal tiling with vertex configuration 3.6.3.6. (en) 在幾何學中，截半正七邊形鑲嵌（英語：Triheptagonal tiling）是一種由正七邊形與正三角形拼合，並且將正七邊形重複排列組合，並讓圖形完全拼合，而且沒有空隙或重疊的幾何構造。其為正七邊形鑲嵌經後的像，是一種，每個頂點皆由兩個正七邊形與兩個正三角形構成。在施萊夫利符號中用r{7,3}表示；此外其邊緣形成一個無限排列的雙曲面直線，此性質與截半正六邊形鑲嵌相似。 截半正七邊形鑲嵌無法在一個平面上構造，因為每個頂點的角度超過了360度，但若硬將正七邊形與正三角形邊對邊接合，將會變成一個，且每個頂點皆會落在一個雙曲拋物面上，雖然它不能在歐幾里得平面上構造，但可以在一個雙曲拋物面上構造，因此截半正七邊形鑲嵌也是羅氏幾何或雙曲幾何中討論的幾何構造。 (zh) |
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wiki-commons:Special:FilePath/Uniform_tiling_73-t1_klein.png?width=300 |
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http://bork.hampshire.edu/~bernie/hyper/ http://geometrygames.org/KaleidoTile/index.html http://www.plunk.org/~hatch/HyperbolicTesselations |
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| dbp:dual |
Triheptagonal tiling (en) |
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Rhombi (en) |
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V3.7.3.7 (en) |
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File:7-3 rhombille tiling.svg (en) |
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[7,3]+, (en) |
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[7,3], *732 (en) |
| dbp:title |
Hyperbolic tiling (en) Poincaré hyperbolic disk (en) |
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HyperbolicTiling (en) PoincareHyperbolicDisk (en) |
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| rdfs:comment |
Triheptagonální dláždění je způsob v hyperbolické geometrii. Každý vrchol se nachází na pomezí dvou trojúhelníků a dvou šestiúhelníků, každá hrana odděluje šestiúhelník od trojúhelníka. (cs) En geometrio, la tri-seplatera kahelaro estas kahelaro de la hiperbola ebeno. Estas du trianguloj kaj du (seplateroj, seplateras) alterna sur ĉiu vertico. Ĝia simbolo de Schläfli estas t1{7,3}. La kahelaro povas esti konstruita per rektigo de la regula ordo-3 seplatera kahelaro aŭ per rektigo de la regula ordo-7 triangula kahelaro. (eo) In geometry, the triheptagonal tiling is a semiregular tiling of the hyperbolic plane, representing a rectified Order-3 heptagonal tiling. There are two triangles and two heptagons alternating on each vertex. It has Schläfli symbol of r{7,3}. Compare to trihexagonal tiling with vertex configuration 3.6.3.6. (en) 在幾何學中，截半正七邊形鑲嵌（英語：Triheptagonal tiling）是一種由正七邊形與正三角形拼合，並且將正七邊形重複排列組合，並讓圖形完全拼合，而且沒有空隙或重疊的幾何構造。其為正七邊形鑲嵌經後的像，是一種，每個頂點皆由兩個正七邊形與兩個正三角形構成。在施萊夫利符號中用r{7,3}表示；此外其邊緣形成一個無限排列的雙曲面直線，此性質與截半正六邊形鑲嵌相似。 截半正七邊形鑲嵌無法在一個平面上構造，因為每個頂點的角度超過了360度，但若硬將正七邊形與正三角形邊對邊接合，將會變成一個，且每個頂點皆會落在一個雙曲拋物面上，雖然它不能在歐幾里得平面上構造，但可以在一個雙曲拋物面上構造，因此截半正七邊形鑲嵌也是羅氏幾何或雙曲幾何中討論的幾何構造。 (zh) |
| rdfs:label |
Triheptagonální dláždění (cs) Tri-seplatera kahelaro (eo) Triheptagonal tiling (en) 截半正七邊形鑲嵌 (zh) |
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