Girih tiles

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

The importance of the tile set increased in recent times, after the doctoral student Peter Lu of the obtained structures to pattern a possible anticipation of the findings of the Penrose tiling (presentation in 1974, precursor from circa 1964 ) by about 500 or 800 years into the field led.

The 5 tile types are:

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

The patterning of the elements is designed so that these are largely Bayable and harmonize their angle to each other. When laying a pattern arising in the combination then figures such as stars, polygons and the like. By adapting the initial line pattern and circular arc - and flower-like surface designs are possible.