Girih tiles

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The existing evidence can be traced back to a single source (Peter Lu). The term does not seem to have caught on, so it is doubtful whether it is suitable for an encyclopedia article. - ThT ( discussion ) 20:24, Jun. 22, 2019 (CEST)
The five shapes of the Girih tiles
Sample pattern made from Girih tiles

With girih tiles ( Persian گره Girih / Gereh ) is the name of a set of 5 tiles that were used to decorate buildings in the Islamic culture. They are known from about 1200 and experienced in the planting technology specifically from the Darb-e Imam of Isfahan in Iran in the year 1453 a discernible progress in terms of the realized implementation of self-similarity , as well as in fractals can be found .

The importance of the tile set has increased in recent times, after the doctoral student Peter Lu suggested a possible anticipation of the findings of Penrose tiling (presented in 1974, forerunner from approx. 1964) by around 500 or 800 years through the samples obtained on buildings led.

The 5 tile shapes are:

  • the decagon (regular, angle 144 ° each),
  • the pentagon (regular, angle 108 ° each),
  • the hexagon (irregular and convex with angles of 72 ° and 144 °),
  • the rhombus (angles of 72 ° and 108 ° respectively)
  • and a fly (irregular hexagon with angles of 72 ° and 216 ° respectively).

The sampling of the elements is designed in such a way that they can be lined up as required and their angles harmonize with one another. When laying a pattern, the combination then results in figures such as stars, polygons and the like. By adapting the initial line pattern, circular arcs and flower-like surface designs are also possible.

Web links

Commons : Girih Tiles  - collection of images, videos, and audio files