About: Truncated order-7 triangular tiling

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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}.

Attributes	Values
rdfs:label	Ordo-7 senpintigita triangula kahelaro (eo) Truncated order-7 triangular tiling (en) 截角七階三角形鑲嵌 (zh)
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)
foaf:depiction
dcterms:subject	Hyperbolic tilings Triangular tilings Order-7 tilings Semiregular tilings Isogonal tilings Truncated tilings
Wikipage page ID	9421457 (xsd:integer)
Wikipage revision ID	1009598970 (xsd:integer)
Link from a Wikipage to another Wikipage	Schläfli symbol HyperRogue List of uniform tilings Vertex configuration Polyhedron Hyperbolic tilings Triangular tilings Order-7 tilings Order-7 triangular tiling Geometry Order-3 heptagonal tiling Pentagon Triangular tiling Truncated icosahedron Semiregular tilings Isogonal tilings Ball Heptagon Hexagon Coxeter group Futbal John Horton Conway Heptagonal tiling Hexagonal tiling Truncation (geometry) Truncated tilings Vertex (geometry) Wythoff construction Uniform tilings in hyperbolic plane Association football ball Tilings of regular polygons
Link from a Wikipage to an external page	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
sameAs	Truncated order-7 triangular tiling Truncated order-7 triangular tiling Truncated order-7 triangular tiling Truncated order-7 triangular tiling Truncated order-7 triangular tiling Truncated order-7 triangular tiling
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Commonscat dbt:ISBN dbt:MathWorld dbt:Truncated_figure2_table dbt:Uniform_hyperbolic_tiles_db dbt:Heptagonal_tiling_table dbt:Tessellation
thumbnail	wiki-commons:Special:FilePath/Comparison_of_truncated_icosahedron_and_soccer_ball.png?width=300
title	Hyperbolic tiling (en) Poincaré hyperbolic disk (en)
urlname	HyperbolicTiling (en) PoincareHyperbolicDisk (en)
has 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)
prov:wasDerivedFrom	wikipedia-en:Truncated_order-7_triangular_tiling?oldid=1009598970&ns=0
page length (characters) of wiki page	3779 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Truncated_order-7_triangular_tiling
is Link from a Wikipage to another Wikipage of	Schläfli symbol HyperRogue Infinite skew polygon Carbon nanofoam Hyperbolic geometry Hyperbolic Soccerball Wythoff symbol Hyperbolic soccerball List of tessellations List of uniform polyhedra by Schwarz triangle Lists of uniform tilings on the sphere, plane, and hyperbolic plane Uniform tilings in hyperbolic plane Order-3 heptakis heptagonal tiling Order-7 truncated triangular tiling Hyperbolic soccer ball Heptakis heptagonal tiling
is Wikipage redirect of	Hyperbolic Soccerball Hyperbolic soccerball

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