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- Girih_tiles abstract "Girih tiles are a set of five tiles that were used in the creation of tiling patterns for decoration of buildings in Islamic architecture. They are known to have been used since about the year 1200 and their arrangements found significant improvement starting with the Darb-i Imam shrine in Isfahan in Iran built in 1453.The five shapes of the tiles are: a regular decagon with ten interior angles of 144°; an elongated (irregular convex) hexagon with interior angles of 72°, 144°, 144°, 72°, 144°, 144°; a bow tie (non-convex hexagon) with interior angles of 72°, 72°, 216°, 72°, 72°, 216°; a rhombus with interior angles of 72°, 108°, 72°, 108°; and a regular pentagon with five interior angles of 108°.All sides of these figures have the same length; and all their angles are multiples of 36° (π/5 radians). All of them, except the pentagon, have bilateral (reflection) symmetry through two perpendicular lines. Some have additional symmetries. Specifically, the decagon has tenfold rotational symmetry (rotation by 36°); and the pentagon has fivefold rotational symmetry (rotation by 72°).Girih are lines (strapwork) which decorate the tiles. The tiles are used to form girih patterns, from the Persian word گره, meaning "knot". In most cases, only the girih (and other minor decorations like flowers) are visible rather than the boundaries of the tiles themselves. The girih are piece-wise straight lines which cross the boundaries of the tiles at the center of an edge at 54° (3π/10) to the edge. Two intersecting girih cross each edge of a tile. Most tiles have a unique pattern of girih inside the tile which are continuous and follow the symmetry of the tile. However, the decagon has two possible girih patterns one of which has only fivefold rather than tenfold rotational symmetry.".
- Girih_tiles thumbnail Girih_tiles.svg?width=300.
- Girih_tiles wikiPageExternalLink medieval-islamic-architecture-presages-20th-century-mathematics.
- Girih_tiles wikiPageExternalLink dn11235-medieval-islamic-tiling-reveals-mathematical-savvy.html.
- Girih_tiles wikiPageExternalLink www.girih-edit.com.
- Girih_tiles wikiPageExternalLink op-islamic-geometric-design-in-Arabic-architecture.aspx.
- Girih_tiles wikiPageExternalLink pen05.htm.
- Girih_tiles wikiPageID "10039881".
- Girih_tiles wikiPageLength "6963".
- Girih_tiles wikiPageOutDegree "41".
- Girih_tiles wikiPageRevisionID "681752225".
- Girih_tiles wikiPageWikiLink Aperiodic_tiling.
- Girih_tiles wikiPageWikiLink Bow_tie.
- Girih_tiles wikiPageWikiLink Bursa.
- Girih_tiles wikiPageWikiLink Category:Girih.
- Girih_tiles wikiPageWikiLink Category:Islamic_architecture.
- Girih_tiles wikiPageWikiLink Category:Islamic_art.
- Girih_tiles wikiPageWikiLink Category:Tessellation.
- Girih_tiles wikiPageWikiLink Darb-e_Imam.
- Girih_tiles wikiPageWikiLink Darb-i_Imam.
- Girih_tiles wikiPageWikiLink Decagon.
- Girih_tiles wikiPageWikiLink Fractal.
- Girih_tiles wikiPageWikiLink Hexagon.
- Girih_tiles wikiPageWikiLink Iran.
- Girih_tiles wikiPageWikiLink Isfahan.
- Girih_tiles wikiPageWikiLink Islamic_architecture.
- Girih_tiles wikiPageWikiLink Istanbul.
- Girih_tiles wikiPageWikiLink Mosaic.
- Girih_tiles wikiPageWikiLink Paul_Steinhardt.
- Girih_tiles wikiPageWikiLink Penrose_tiling.
- Girih_tiles wikiPageWikiLink Pentagon.
- Girih_tiles wikiPageWikiLink Persian_language.
- Girih_tiles wikiPageWikiLink Peter_Lu.
- Girih_tiles wikiPageWikiLink Quasicrystal.
- Girih_tiles wikiPageWikiLink Quasicrystalline.
- Girih_tiles wikiPageWikiLink Radian.
- Girih_tiles wikiPageWikiLink Rhombus.
- Girih_tiles wikiPageWikiLink Roger_Burrows.
- Girih_tiles wikiPageWikiLink Rotational_symmetry.
- Girih_tiles wikiPageWikiLink Self-similar.
- Girih_tiles wikiPageWikiLink Self-similarity.
- Girih_tiles wikiPageWikiLink Sheikh_Lotfollah_Mosque.
- Girih_tiles wikiPageWikiLink Shiraz.
- Girih_tiles wikiPageWikiLink Strapwork.
- Girih_tiles wikiPageWikiLink Tile.
- Girih_tiles wikiPageWikiLink Tomb_of_Hafez.
- Girih_tiles wikiPageWikiLink Topkapi_Palace.
- Girih_tiles wikiPageWikiLink Topkapi_Scroll.
- Girih_tiles wikiPageWikiLink Topkapı_Palace.
- Girih_tiles wikiPageWikiLink Topkapı_Scroll.
- Girih_tiles wikiPageWikiLink Yeşil_Mosque.
- Girih_tiles wikiPageWikiLink Zellige.
- Girih_tiles wikiPageWikiLink File:Girih_tiles.svg.
- Girih_tiles wikiPageWikiLink File:Girih_tiles2.svg.
- Girih_tiles wikiPageWikiLink File:Girih_tiles3.svg.
- Girih_tiles wikiPageWikiLinkText "Girih tiles".
- Girih_tiles wikiPageWikiLinkText "Girih".
- Girih_tiles wikiPageWikiLinkText "decorative patterns".
- Girih_tiles wikiPageWikiLinkText "girih tiles".
- Girih_tiles wikiPageWikiLinkText "girih".
- Girih_tiles wikiPageWikiLinkText "some decorative patterns".
- Girih_tiles hasPhotoCollection Girih_tiles.
- Girih_tiles wikiPageUsesTemplate Template:Cite_web.
- Girih_tiles wikiPageUsesTemplate Template:Mathematical_art.
- Girih_tiles wikiPageUsesTemplate Template:Pronunciation_needed.
- Girih_tiles wikiPageUsesTemplate Template:Reflist.
- Girih_tiles subject Category:Girih.
- Girih_tiles subject Category:Islamic_architecture.
- Girih_tiles subject Category:Islamic_art.
- Girih_tiles subject Category:Tessellation.
- Girih_tiles hypernym Set.
- Girih_tiles type Article.
- Girih_tiles type Article.
- Girih_tiles type Pattern.
- Girih_tiles type Polytope.
- Girih_tiles type Style.
- Girih_tiles comment "Girih tiles are a set of five tiles that were used in the creation of tiling patterns for decoration of buildings in Islamic architecture.".
- Girih_tiles label "Girih tiles".
- Girih_tiles sameAs جيرة.
- Girih_tiles sameAs Girih-Kacheln.
- Girih_tiles sameAs گرهچینی.
- Girih_tiles sameAs Girih.
- Girih_tiles sameAs m.02p_sds.
- Girih_tiles sameAs Girih.
- Girih_tiles sameAs Girih_karoları.
- Girih_tiles sameAs گرہی_بلائط.
- Girih_tiles sameAs Girih.
- Girih_tiles sameAs Q1526725.
- Girih_tiles sameAs Q1526725.
- Girih_tiles wasDerivedFrom Girih_tiles?oldid=681752225.
- Girih_tiles depiction Girih_tiles.svg.
- Girih_tiles isPrimaryTopicOf Girih_tiles.