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The wide spectrum of intellectual treasures allowed Islamic scholars to quickly embrace Greek philosophy and mathematics, translating and disseminating this knowledge for posterity. The works of Euclid and Pythagoras were among the first to be translated into Arabic. The study of geometry also fed an ardent preoccupation with the stars and astronomy. All this in turn nourished the Arabic passion for creating infinite, decorative patterns. The cultivation of mathematical analysis, in particular, had a harmonising effect. Driven by the religious passion for abstraction and the related doctrine of unity -- al-tawhid, the Muslim intellectuals recognized in geometry the unifying intermediary between the material and the spiritual world.
Alternatively, the development of infinitely repeating patterns can represent the unchanging laws of God. Muslims are expected to observe certain rules as were originally set forth by the Prophet Muhammad (pbuh), characterised by the "Pillars of Faith". In this way the rules of construction of geometric patterns provide a visual analogy to religious rules of behavior.
"... as the soul of an individual seeks sources and reasons
for its existence it is led inward and away from the three-dimensional world
towards fewer and more comprehensive ideas and principles"
Both the contemplation of and the creative skill in making patterns lead in their own way to an understanding of the perfections of Universal Nature as it moves the elements. Islamic pattern, unique as an art form, is also unitary in its aim and function. Symbols can exhaust verbal explanation but verbal explanation can in no way exhaust symbols -and the symbols inherent in Islamic pattern and geometry are directed towards that undifferentiated unity. Thus, the circle, and its centre, are the point at which all Islamic patterns begin and is an apt symbol of a religion that emphasizes one God, symbolising also, the role of Mecca, the center of Islam, toward which all Moslems face in prayer. The circle has always been regarded as a symbol of eternity, without being and without end, and is not only the perfect expression of justice-equality in all directions in a finite domain--but also the most beautiful parent of all polygons, both containing and underlying them. From the circle comes three fundamental figures in Islamic art, the triangle, square and hexagon. The triangle by tradition is symbolic of human consciousness and the principle of harmony. The square, the symbol of physical experience and the physical world-or materiality-and the hexagon, of Heaven. Another symbol prevalent in Islamic art is the star and has been the chosen motif for many Islamic decorations. In Islamic iconography the star is a regular geometric shape that symbolizes equal radiation in all directions from a central point. All regular stars -- whether they have 6, 8, 10, 12, or 16 points -- are created by a division of a circle into equal parts. The center of the star is center of the circle from which it came, and its points touch the circumference of the circle. The rays of a star reach out in all directions, making the star a fitting symbol for the spread of Islam. One such use of the of the star in mosaics is in 'God's spider web', the very name of which evokes the 'miracle of the spider': When the Prophet (pbuh), to escape his persecutors, fled from Mecca, he and his companion Abu Bakr hid for three days and three nights in a cave. The hostile Meccans rode out in search of them, and on the first morning they reached the entrance to the cave. But a spider had spun its net across it, a dove had laid its eggs on the threshold, and a wild rose-bush had stretched out its blossoming branches, so that the pursuers thought that no one could possibly have recently entered the cave. The mosaic spider's web, however, resembles its model only remotely. It is in fact a geometrical rosette, which begins as a star and then extends outwards in interlacing bands, that follow a rigorous plan, and form a rich extensive network. Several such complete designs can intertwine with one another on one surface, and then they form, especially when they originate in stars with varying numbers of rays, a shimmering planetarium, in which each line starts from a centre and leads to a centre, a motif that once again strongly evokes the Islamic idea of omnipresent unity.
Many of the patterns used in Islamic art look similar, even though they decorate different objects. They are are two dimensional both in form and intent and are made up of a small number of repeated geometric elements that create a complex whole by repeating a few elements and. This practical and useful level of operation of archetypal expressions in no way diminishes or reduces their effectiveness as symbols, on the contrary it merely reinforces the fact that what we take to be simple and 'in the nature of things' has become profound to the point of us becoming oblivious to it, in much the same way that we find ourselves in an environment with a great deal of noise for any appreciable length of time we cut out our awareness of that noise. (Sources: http://mathforum.org/alejandre/circles.html Critchlow, Keith. Islamic Pattern: An Analytical and Cosmological Approach. Schocken books, New, York, NY. 1976 http://math.dartmouth.edu/~matc/math5.pattern/lesson5A&M.connection.html http://www.cs.bsu.edu/homepages/dathomas/mg/si_files/si17.htm http://www.askasia.org/frclasrm/lessplan/l000030.htm, http://math.dartmouth.edu/~matc/math5.pattern/lesson5A&M.connection.html)
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