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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 first is "simple open crochet" (crochet simple ajour), a mesh of chain-stitch arches. The second (illustrated here) starts in a semi-open form ( demi jour ), where chain-stitch arches alternate with equally long segments of slip-stitch crochet, and closes with a star made with "double-crochet stitches" ( dubbelde hekelsteek : double-crochet ...
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]
This is a list of two-dimensional geometric shapes in Euclidean and other geometries. For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes.
Found in the Topkapi Palace in Istanbul, the administrative center of the Ottoman Empire, and believed to date from the late 15th century, the scroll shows a succession of two- and three-dimensional geometric patterns. There is no text, but there is a grid pattern and color-coding used to highlight symmetries and distinguish three-dimensional ...
Geometric abstraction is present among many cultures throughout history both as decorative motifs and as art pieces themselves. Islamic art, in its prohibition of depicting religious figures, is a prime example of this geometric pattern-based art, which existed centuries before the movement in Europe and in many ways influenced this Western school.
The book is heavily illustrated, [4] and describes geometric patterns in the carvings, textiles, drawings and paintings of multiple African cultures. Although these are primarily decorative rather than mathematical, Gerdes adds his own mathematical analysis of the patterns, and suggests ways of incorporating this analysis into the mathematical curriculum.
These patterns can be found as far back as prehistoric times, and are considered to be the most primitive patterns. Tools made in the Neolithic period and Bronze Age have repeated stripes, circles and concentric circles as designs. These patterns are thought to represent the sun, rays of sunlight, and rain. Other geometric patterns include:
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