Girih 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. All angles that appear in the girih tiles are multiples of 36 degrees. The girih pieces are strongly related to Penrose tiles: each girih tile can be decomposed into dart and kite Penrose tiles. The Penrose tiles are famous for creating aperiodic tailings, patterns that do not repeat themselves. Aperiodic patterns are possible to create with the girih tiles as well - for example, girih may be laid in a pattern of fivefold rotational symmetry. Fivefold symmetry is impossible in periodic tailings. Each girih tile can be constructed of smaller girih tiles. The Penrose tiles have the same property. If this subdivision is repeated, it may lead to an aperiodic tiling - depending on the rules for replacing large tiles with smaller ones.
My bachelor degree was about exploring this pattern, understanding its order, meaning and system. This lead to a three-dimensional shape, which interprets the pattern structure.
I created a meeting between different parts, by shaping a body that will be able to repeat it self but changing at the same time. The relations between surfaces and volumes in my shape have a golden value. The rotation and the repetition are in a specific order.