| dbo:abstract |
En geometrio, la ordo-7 senpintigita seplatera kahelaro estas kahelaro de la hiperbola ebeno. Kiel la nomo sugestas, ĝi povas esti farita per senpintigo de la regula ordo-7 triangula kahelaro. En la kahelaro estas unu seslateroj kaj du (seplateroj, seplateras) ĉirkaŭ ĉiu vertico. Ĝia simbolo de Schläfli estas t1,2{7,3}. (eo) In geometry, the order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There are two hexagons and one heptagon on each vertex, forming a pattern similar to a conventional soccer ball (truncated icosahedron) with heptagons in place of pentagons. It has Schläfli symbol of t{3,7}. (en) 在幾何學中，截角七階三角形鑲嵌（英語：Triheptagonal tiling）是一種僅能被構造在雙曲面上的正多邊形鑲嵌，是半正鑲嵌的一種，由正七邊形與正六邊形拼合，並且將正七邊形與正六邊形重複排列組合，並讓圖形完全拼合，而且沒有空隙或重疊的幾何構造。每個頂點皆由兩個正六邊形與一個正七邊形構成，在施萊夫利符號中用t{3,7}表示；此外由於結構類似於足球（僅差在足球的正五邊形改成正七邊形），因此又被稱為雙曲足球（英語：hyperbolic soccerball）。足球是截角二十面體，可以視為五階三角形鑲嵌經截角變換後的像，與截角七階三角形鑲嵌非常類似，但截角二十面體是球面鑲嵌，截角七階三角形鑲嵌是雙曲面鑲嵌。 (zh) |
| dbo:thumbnail |
wiki-commons:Special:FilePath/Comparison_of_truncat...ahedron_and_soccer_ball.png?width=300 |
| dbo:wikiPageExternalLink |
http://www.hadron.org/~hatch/HyperbolicTesselations http://bork.hampshire.edu/~bernie/hyper/ http://geometrygames.org/KaleidoTile/index.html http://www.math.tamu.edu/~sottile/research/stories/hyperbolic_football/index.html |
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| dbp:title |
Hyperbolic tiling (en) Poincaré hyperbolic disk (en) |
| dbp:urlname |
HyperbolicTiling (en) PoincareHyperbolicDisk (en) |
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dbt:Cite_book dbt:Commonscat dbt:ISBN dbt:MathWorld dbt:Truncated_figure2_table dbt:Uniform_hyperbolic_tiles_db dbt:Heptagonal_tiling_table dbt:Tessellation |
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dbc:Hyperbolic_tilings dbc:Triangular_tilings dbc:Order-7_tilings dbc:Semiregular_tilings dbc:Isogonal_tilings dbc:Truncated_tilings |
| rdfs:comment |
En geometrio, la ordo-7 senpintigita seplatera kahelaro estas kahelaro de la hiperbola ebeno. Kiel la nomo sugestas, ĝi povas esti farita per senpintigo de la regula ordo-7 triangula kahelaro. En la kahelaro estas unu seslateroj kaj du (seplateroj, seplateras) ĉirkaŭ ĉiu vertico. Ĝia simbolo de Schläfli estas t1,2{7,3}. (eo) In geometry, the order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There are two hexagons and one heptagon on each vertex, forming a pattern similar to a conventional soccer ball (truncated icosahedron) with heptagons in place of pentagons. It has Schläfli symbol of t{3,7}. (en) 在幾何學中，截角七階三角形鑲嵌（英語：Triheptagonal tiling）是一種僅能被構造在雙曲面上的正多邊形鑲嵌，是半正鑲嵌的一種，由正七邊形與正六邊形拼合，並且將正七邊形與正六邊形重複排列組合，並讓圖形完全拼合，而且沒有空隙或重疊的幾何構造。每個頂點皆由兩個正六邊形與一個正七邊形構成，在施萊夫利符號中用t{3,7}表示；此外由於結構類似於足球（僅差在足球的正五邊形改成正七邊形），因此又被稱為雙曲足球（英語：hyperbolic soccerball）。足球是截角二十面體，可以視為五階三角形鑲嵌經截角變換後的像，與截角七階三角形鑲嵌非常類似，但截角二十面體是球面鑲嵌，截角七階三角形鑲嵌是雙曲面鑲嵌。 (zh) |
| rdfs:label |
Ordo-7 senpintigita triangula kahelaro (eo) Truncated order-7 triangular tiling (en) 截角七階三角形鑲嵌 (zh) |
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