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Girih patterns can be created in a variety of ways, including the traditional straightedge and compass construction; the construction of a grid of polygons; and the use of a set of girih tiles with lines drawn on them: the lines form the pattern. Patterns may be elaborated by the use of two levels of design, as at the 1453 Darb-e Imam shrine.
The meander is a fundamental design motif in regions far from a Hellenic orbit: labyrinthine meanders ("thunder" pattern [3]) appear in bands and as infill on Shang bronzes (c. 1600 BC – c. 1045 BC), and many traditional buildings in and around China still bear geometric designs almost identical to meanders.
The geometric designs in Islamic art are often built on combinations of repeated squares and circles, which may be overlapped and interlaced, as can arabesques, with which they are often combined, to form intricate and complex patterns, including a wide variety of tessellations. These may constitute the entire decoration, may form a framework ...
In 2013 the Istanbul Center of Design and the Ensar Foundation ran what they claimed was the first ever symposium of Islamic Arts and Geometric Patterns, in Istanbul. The panel included the experts on Islamic geometric pattern Carol Bier, [g] Jay Bonner, [h] [66] Eric Broug, [i] Hacali Necefoğlu [j] and Reza Sarhangi.
The similarity with certain decorative patterns used in North Africa and the Middle East has been noted; [56] [57] the physicists Peter J. Lu and Paul Steinhardt have presented evidence that a Penrose tiling underlies examples of medieval Islamic geometric patterns, such as the girih (strapwork) tilings at the Darb-e Imam shrine in Isfahan. [58]
A pattern is a regularity in the world, in human-made design, [1] or in abstract ideas. As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design. Any of the senses may directly observe patterns.
Example of geometric pattern in the Bou Inania Madrasa of Fez. This example employs a fivefold geometric system with 10-pointed stars, while also adding visual diversity through colour. In western Islamic art, under the Nasrid and Marinid dynasties, a great variety of geometric patterns were created for architectural decoration.
A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and semiregular tilings with regular tiles of more than one shape and with every corner identically arranged. The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. A tiling that ...