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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). 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 www.geopersia.com.
- Girih_tiles wikiPageExternalLink dn11235-medieval-islamic-tiling-reveals-mathematical-savvy.html.
- Girih_tiles wikiPageExternalLink op-islamic-geometric-design-in-Arabic-architecture.aspx.
- Girih_tiles wikiPageExternalLink pen05.htm.
- Girih_tiles wikiPageID "10039881".
- Girih_tiles wikiPageRevisionID "591463185".
- Girih_tiles hasPhotoCollection Girih_tiles.
- Girih_tiles subject Category:Girih.
- Girih_tiles subject Category:Islamic_architecture.
- Girih_tiles subject Category:Islamic_art.
- Girih_tiles subject Category:Tessellation.
- 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 label "Girih".
- Girih_tiles label "Girih-Kacheln".
- Girih_tiles label "جيرة".
- Girih_tiles sameAs Girih-Kacheln.
- Girih_tiles sameAs Girih.
- Girih_tiles sameAs m.02p_sds.
- Girih_tiles sameAs Q1526725.
- Girih_tiles sameAs Q1526725.
- Girih_tiles wasDerivedFrom Girih_tiles?oldid=591463185.
- Girih_tiles depiction Girih_tiles.svg.
- Girih_tiles isPrimaryTopicOf Girih_tiles.