About: Order-5 pentagonal tiling

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In geometry, the order-5 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,5}, constructed from five pentagons around every vertex. As such, it is self-dual.

Attributes	Values
rdfs:label	Order-5 pentagonal tiling (en) 五階五邊形鑲嵌 (zh)
rdfs:comment	In geometry, the order-5 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,5}, constructed from five pentagons around every vertex. As such, it is self-dual. (en) 在幾何學中，五階五邊形鑲嵌是由五邊形組成的雙曲面正鑲嵌圖，在施萊夫利符號中用{5,5}表示。五階五邊形鑲嵌即每個頂點皆為五個五邊形的公共頂點，頂點周圍包含了五個不重疊的五邊形，一個五邊形內角108度，五個五邊形超過了360度，因此無法因此無法在平面作出，但可以在雙曲面上作出。 (zh)
dcterms:subject	Regular tilings Self-dual tilings Hyperbolic tilings Order-5 tilings Isohedral tilings Isogonal tilings Pentagonal tilings
Wikipage page ID	38358615 (xsd:integer)
Wikipage revision ID	786601603 (xsd:integer)
Link from a Wikipage to another Wikipage	Schläfli symbol Regular tilings Self-dual tilings Hyperbolic tilings Order-5 tilings Geometry Dual polyhedron Isohedral tilings Isogonal tilings Hyperbolic geometry John Horton Conway Pentagonal tilings Square tiling Uniform tilings in hyperbolic plane List of regular polytopes
Link from a Wikipage to an external page	http://bork.hampshire.edu/~bernie/hyper/ http://geometrygames.org/KaleidoTile/index.html http://www.plunk.org/~hatch/HyperbolicTesselations
sameAs	Order-5 pentagonal tiling Order-5 pentagonal tiling Order-5 pentagonal tiling Order-5 pentagonal tiling Order-5 pentagonal tiling
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Commonscat dbt:Geometry-stub dbt:MathWorld dbt:Isbn dbt:Regular_pentagonal_tiling_table dbt:Uniform_hyperbolic_tiles_db dbt:Order-5_regular_tilings dbt:Order_5-5_tiling_table dbt:Tessellation
title	Hyperbolic tiling (en) Poincaré hyperbolic disk (en)
urlname	HyperbolicTiling (en) PoincareHyperbolicDisk (en)
has abstract	In geometry, the order-5 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,5}, constructed from five pentagons around every vertex. As such, it is self-dual. (en) 在幾何學中，五階五邊形鑲嵌是由五邊形組成的雙曲面正鑲嵌圖，在施萊夫利符號中用{5,5}表示。五階五邊形鑲嵌即每個頂點皆為五個五邊形的公共頂點，頂點周圍包含了五個不重疊的五邊形，一個五邊形內角108度，五個五邊形超過了360度，因此無法因此無法在平面作出，但可以在雙曲面上作出。 (zh)
prov:wasDerivedFrom	wikipedia-en:Order-5_pentagonal_tiling?oldid=786601603&ns=0
page length (characters) of wiki page	1957 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Order-5_pentagonal_tiling
is Link from a Wikipage to another Wikipage of	Schläfli symbol Pentagonal tiling List of isotoxal polyhedra and tilings Order-4 icosahedral honeycomb Order-5-3 square honeycomb Order-5-4 square honeycomb Order-5 120-cell honeycomb Order-8-3 triangular honeycomb Dual polyhedron List of tessellations List of uniform polyhedra by Schwarz triangle Lists of uniform tilings on the sphere, plane, and hyperbolic plane Polytope Uniform tilings in hyperbolic plane
is foaf:primaryTopic of	wikipedia-en:Order-5_pentagonal_tiling

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