Qhat Did the Geometric Shapes Uses in Arabic Art Mean

Geometric pattern characteristic of Muslim fine art

Islamic geometric patterns are one of the major forms of Islamic ornament, which tends to avoid using figurative images, as it is forbidden to create a representation of an of import Islamic figure according to many holy scriptures.

The geometric designs in Islamic art are frequently built on combinations of repeated squares and circles, which may be overlapped and interlaced, equally tin can arabesques (with which they are oft combined), to form intricate and circuitous patterns, including a broad variety of tessellations. These may constitute the entire decoration, may grade a framework for floral or calligraphic embellishments, or may retreat into the background effectually other motifs. The complexity and variety of patterns used evolved from simple stars and lozenges in the ninth century, through a diversity of half-dozen- to 13-point patterns by the 13th century, and finally to include as well 14- and xvi-point stars in the sixteenth century.

Geometric patterns occur in a variety of forms in Islamic art and architecture. These include kilim carpets, Persian girih and Moroccan zellij tilework, muqarnas decorative vaulting, jali pierced stone screens, ceramics, leather, stained drinking glass, woodwork, and metalwork.

Interest in Islamic geometric patterns is increasing in the West, both among craftsmen and artists like M. C. Escher in the twentieth century, and among mathematicians and physicists such equally Peter J. Lu and Paul Steinhardt.

Background [edit]

Islamic decoration [edit]

Islamic art more often than not avoids figurative images to avoid becoming objects of worship.^{[1] [ii]} This aniconism in Islamic culture caused artists to explore non-figural art, and created a general aesthetic shift toward mathematically-based ornamentation.^[3] The Islamic geometric patterns derived from simpler designs used in before cultures: Greek, Roman, and Sasanian. They are one of three forms of Islamic decoration, the others being the arabesque based on curving and branching institute forms, and Islamic calligraphy; all three are frequently used together.^{[4] [5]}

Purpose [edit]

Authors such as Keith Critchlow^[a] argue that Islamic patterns are created to pb the viewer to an understanding of the underlying reality, rather than being mere decoration, as writers interested simply in pattern sometimes imply.^{[6] [7]} In Islamic culture, the patterns are believed to exist the span to the spiritual realm, the instrument to purify the mind and the soul.^[8] David Wade^[b] states that "Much of the art of Islam, whether in architecture, ceramics, textiles or books, is the art of decoration – which is to say, of transformation."^[nine] Wade argues that the aim is to transfigure, turning mosques "into lightness and pattern", while "the busy pages of a Qur'an can become windows onto the space."^[9] Against this, Doris Behrens-Abouseif^[c] states in her book Dazzler in Arabic Culture that a "major difference" between the philosophical thinking of Medieval Europe and the Islamic earth is exactly that the concepts of the skillful and the beautiful are separated in Arabic civilisation. She argues that dazzler, whether in poesy or in the visual arts, was enjoyed "for its own sake, without commitment to religious or moral criteria".^[10]

• Styles of Islamic geometric ornamentation

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  A diverseness of vernacular decorative Islamic styles in Kingdom of morocco: girih-similar wooden panels, zellij tilework, stucco calligraphy, and floral door panels

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  An archway in the Ottoman Greenish Mosque, Bursa, Turkey (1424), with girih 10-point stars and pentagons

Pattern formation [edit]

The Shah Nematollah Vali Shrine, Mahan, Iran, 1431. The blue girih-tiled dome contains stars with, from the tiptop, 5, 7, 9, 12, 11, 9 and 10 points in turn. xi-point stars are rare in Islamic art.^[11]

Many Islamic designs are congenital on squares and circles, typically repeated, overlapped and interlaced to form intricate and complex patterns.^[4] A recurring motif is the 8-pointed star, often seen in Islamic tilework; it is made of two squares, i rotated 45 degrees with respect to the other. The fourth basic shape is the polygon, including pentagons and octagons. All of these can be combined and reworked to form complicated patterns with a variety of symmetries including reflections and rotations. Such patterns can be seen every bit mathematical tessellations, which can extend indefinitely and thus advise infinity.^{[four] [12]} They are constructed on grids that require only ruler and compass to describe.^[13] Creative person and educator Roman Verostko argues that such constructions are in effect algorithms, making Islamic geometric patterns forerunners of mod algorithmic art.^[14]

The circle symbolizes unity and variety in nature, and many Islamic patterns are drawn starting with a circumvolve.^[fifteen] For example, the decoration of the 15th-century mosque in Yazd, Persia is based on a circle, divided into vi by half-dozen circles drawn around it, all touching at its center and each touching its 2 neighbours' centres to form a regular hexagon. On this basis is constructed a six-pointed star surrounded by six smaller irregular hexagons to class a tessellating star blueprint. This forms the basic design which is outlined in white on the wall of the mosque. That design, still, is overlaid with an intersecting tracery in blueish around tiles of other colours, forming an elaborate pattern that partially conceals the original and underlying design.^{[15] [16]} A similar blueprint forms the logo of the Mohammed Ali Research Eye.^[17]

One of the early on Western students of Islamic patterns, Ernest Hanbury Hankin, defined a "geometrical arabesque" equally a pattern formed "with the help of construction lines consisting of polygons in contact."^[v] He observed that many unlike combinations of polygons can exist used as long equally the residual spaces betwixt the polygons are reasonably symmetrical. For example, a grid of octagons in contact has squares (of the same side as the octagons) as the remainder spaces. Every octagon is the basis for an eight-signal star, equally seen at Akbar's tomb, Sikandra (1605–1613). Hankin considered the "skill of the Arabian artists in discovering suitable combinations of polygons .. almost astounding."^[five] He further records that if a star occurs in a corner, exactly one quarter of it should be shown; if along an edge, exactly one half of it.^[5]

The Topkapı Scroll, made in Timurid dynasty Iran in the belatedly-15th century or get-go of the 16th century, contains 114 patterns including coloured designs for girih tilings and muqarnas quarter or semidomes.^{[18] [nineteen] [20]}

The mathematical properties of the decorative tile and stucco patterns of the Alhambra palace in Granada, Spain have been extensively studied. Some authors take claimed on dubious grounds to have found most or all of the 17 wallpaper groups in that location.^{[21] [22]} Moroccan geometric woodwork from the 14th to 19th centuries makes apply of merely 5 wallpaper groups, mainly p4mm and c2mm, with p6mm and p2mm occasionally and p4gm rarely; information technology is claimed that the "Hasba" (measure) method of structure, which starts with northward-fold rosettes, can all the same generate all 17 groups.^[23]

• Methods of structure

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  Structure of girih pattern in Darb-due east Imam spandrel (xanthous line). Construction decagons blue, bowties red. The strapwork cuts across the structure tessellation.

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  Decoration in Tomb of I'timād-ud-Daulah, Agra, showing right handling of sides and corners. A quarter of each six-bespeak star is shown in each corner; half stars along the sides.

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  Architectural drawing for brick vaulting, Islamic republic of iran, probably Tehran, 1800–seventy

Evolution [edit]

Early on stage [edit]

The earliest geometrical forms in Islamic art were occasional isolated geometric shapes such as viii-pointed stars and lozenges containing squares. These date from 836 in the Great Mosque of Kairouan, Tunisia, and since then take spread all across the Islamic world.^[24]

Heart stage [edit]

The next development, marking the middle stage of Islamic geometric pattern usage, was of 6- and viii-point stars, which appear in 879 at the Ibn Tulun Mosque, Cairo, and then became widespread.^[24]

A wider multifariousness of patterns were used from the 11th century. Abstract 6- and eight-point shapes appear in the Belfry of Kharaqan at Qazvin, Persia in 1067, and the Al-Juyushi Mosque, Arab republic of egypt in 1085, again becoming widespread from there, though half-dozen-bespeak patterns are rare in Turkey.^[24]

In 1086, 7- and ten-point girih patterns (with heptagons, 5- and 6-pointed stars, triangles and irregular hexagons) appear in the Jameh Mosque of Isfahan. 10-point girih became widespread in the Islamic world, except in the Spanish Al-Andalus.^[24] Presently later, sweeping nine-, eleven-, and 13-betoken girih patterns were used in the Barsian Mosque, besides in Persia, in 1098; these, like seven-indicate geometrical patterns, are rarely used exterior Persia and fundamental Asia.^[24]

Finally, mark the end of the center phase, 8- and 12-point girih rosette patterns appear in the Alâeddin Mosque at Konya, Turkey in 1220, and in the Abbasid palace in Baghdad in 1230, going on to become widespread beyond the Islamic world.^[24]

Late stage [edit]

The beginning of the belatedly phase is marked by the use of simple xvi-point patterns at the Hasan Sadaqah mausoleum in Cairo in 1321, and in the Alhambra in Spain in 1338–1390. These patterns are rarely plant exterior these ii regions. More elaborate combined xvi-point geometrical patterns are found in the Sultan Hassan complex in Cairo in 1363, but rarely elsewhere. Finally, fourteen-point patterns announced in the Jama Masjid at Fatehpur Sikri in Bharat in 1571–1596, only in few other places.^{[24] [d]}

Artforms [edit]

Several artforms in dissimilar parts of the Islamic globe make use of geometric patterns. These include ceramics,^[26] girih strapwork,^[27] jali pierced stone screens,^[28] kilim rugs,^[29] leather,^[thirty] metalwork,^[31] muqarnas vaulting,^[32] shakaba stained drinking glass,^[33] woodwork,^[27] and zellij tiling.^[34]

Ceramics [edit]

Ceramics lend themselves to circular motifs, whether radial or tangential. Bowls or plates can be decorated inside or out with radial stripes; these may exist partly figurative, representing stylised leaves or blossom petals, while circular bands can run around a bowl or jug. Patterns of these types were employed on Islamic ceramics from the Ayyubid catamenia, 13th century. Radially symmetric flowers with, say, 6 petals lend themselves to increasingly stylised geometric designs which can combine geometric simplicity with recognisably naturalistic motifs, brightly coloured glazes, and a radial limerick that ideally suits circular crockery. Potters often chose patterns suited to the shape of the vessel they were making.^[26] Thus an unglazed earthenware water flask^[e] from Aleppo in the shape of a vertical circle (with handles and neck to a higher place) is decorated with a ring of moulded braiding effectually an Standard arabic inscription with a small 8-petalled flower at the middle.^[35]

Girih tilings and woodwork [edit]

Girih are elaborate interlacing patterns formed of five standardized shapes. The style is used in Persian Islamic architecture and also in decorative woodwork.^[27] Girih designs are traditionally made in dissimilar media including cut brickwork, stucco, and mosaic faience tilework. In woodwork, especially in the Safavid menstruation, it could exist applied either every bit lattice frames, left plain or inset with panels such equally of coloured glass; or as mosaic panels used to decorate walls and ceilings, whether sacred or secular. In architecture, girih forms decorative interlaced strapwork surfaces from the 15th century to the 20th century. Well-nigh designs are based on a partially hidden geometric filigree which provides a regular assortment of points; this is made into a blueprint using two-, 3-, 4-, and half dozen-fold rotational symmetries which tin make full the plane. The visible design superimposed on the filigree is also geometric, with half dozen-, viii-, x- and 12-pointed stars and a variety of convex polygons, joined by straps which typically seem to weave over and under each other.^{[27] [36]} The visible design does not coincide with the underlying construction lines of the tiling.^[27] The visible patterns and the underlying tiling represent a bridge linking the invisible to the visible, analogous to the "epistemological quest" in Islamic civilisation, the search for the nature of knowledge.^[37]

Jali [edit]

Mosque of Ibn Tulun: window with girih-style 10-bespeak stars (at rear), with floral roundels in octagons forming a frieze at front

Chief article: Jali

Jali are pierced stone screens with regularly repeating patterns. They are characteristic of Indo-Islamic architecture, for example in the Mughal dynasty buildings at Fatehpur Sikri and the Taj Mahal. The geometric designs combine polygons such every bit octagons and pentagons with other shapes such as 5- and 8-pointed stars. The patterns emphasized symmetries and suggested infinity past repetition. Jali functioned every bit windows or room dividers, providing privacy but allowing in air and light.^[28] Jali forms a prominent element of the architecture of India.^[38] The use of perforated walls has declined with modern building standards and the need for security. Modern, simplified jali walls, for example fabricated with pre-moulded clay or cement blocks, take been popularised past the architect Laurie Baker.^[39] Pierced windows in girih style are sometimes plant elsewhere in the Islamic earth, such as in windows of the Mosque of Ibn Tulun in Cairo.^[40]

Kilim [edit]

Somewhat geometric motifs such as the Wolf'due south Mouth (Kurt Aǧzi), to protect the flocks against wolves, are often woven into tribal kilims.

A kilim is an Islamic^[29] flatwoven carpet (without a pile), whether for household utilize or a prayer mat. The pattern is fabricated by winding the weft threads dorsum over the warp threads when a color boundary is reached. This technique leaves a gap or vertical slit, and then kilims are sometimes called slit-woven textiles. Kilims are oftentimes decorated with geometric patterns with ii- or iv-fold mirror or rotational symmetries. Considering weaving uses vertical and horizontal threads, curves are difficult to generate, and patterns are appropriately formed mainly with straight edges.^{[16] [41]} Kilim patterns are often feature of specific regions.^[42] Kilim motifs are often symbolic too as decorative. For example, the wolf'southward mouth or wolf'south pes motif (Turkish: Kurt Aǧzi, Kurt İzi) expresses the tribal weavers' desires for protection of their families' flocks from wolves.^[43]

Leather [edit]

Islamic leather is oftentimes embossed with patterns similar to those already described. Leather book covers, starting with the Quran where figurative artwork was excluded, were decorated with a combination of kufic script, medallions and geometric patterns, typically bordered by geometric braiding.^[xxx]

Metalwork [edit]

Metal artefacts share the same geometric designs that are used in other forms of Islamic art. However, in the view of Hamilton Gibb, the emphasis differs: geometric patterns tend to be used for borders, and if they are in the main decorative surface area they are about often used in combination with other motifs such as floral designs, arabesques, animal motifs, or calligraphic script. Geometric designs in Islamic metalwork tin can form a filigree busy with these other motifs, or they can form the background pattern.^[31]

Even where metal objects such as bowls and dishes do non seem to accept geometric ornament, still the designs, such every bit arabesques, are often set in octagonal compartments or bundled in concentric bands around the object. Both closed designs (which do not repeat) and open or repetitive patterns are used. Patterns such as interlaced half dozen-pointed stars were especially pop from the 12th century. Eva Baer^[f] notes that while this pattern was essentially unproblematic, it was elaborated by metalworkers into intricate patterns interlaced with arabesques, sometimes organised effectually further basic Islamic patterns, such as the hexagonal pattern of six overlapping circles.^[45]

Muqarnas [edit]

Muqarnas are elaborately carved ceilings to semi-domes, oftentimes used in mosques. They are typically made of stucco (and thus exercise non have a structural office), but can as well be of wood, brick, and stone. They are feature of Islamic architecture of the Middle Ages from Kingdom of spain and Morocco in the west to Persia in the east. Architecturally they form multiple tiers of squinches, diminishing in size equally they rise. They are often elaborately decorated.^[32]

Stained glass [edit]

Geometrically patterned stained glass is used in a variety of settings in Islamic architecture. It is establish in the surviving summertime residence of the Palace of Shaki Khans, Azerbaijan, constructed in 1797. Patterns in the "shabaka" windows include 6-, 8-, and 12-point stars. These woods-framed decorative windows are distinctive features of the palace's architecture. Shabaka are still constructed the traditional way in Sheki in the 21st century.^{[33] [46]} Traditions of stained drinking glass set in wooden frames (not lead every bit in Europe) survive in workshops in Iran as well as Republic of azerbaijan.^[47] Glazed windows prepare in stucco arranged in girih-similar patterns are found both in Turkey and the Arab lands; a late instance, without the traditional residuum of design elements, was made in Tunisia for the International Colonial Exhibition in Amsterdam in 1883.^[48] The onetime city of Sana'a in Republic of yemen has stained glass windows in its alpine buildings.^[49]

Zellij [edit]

Zellij (Arabic: الزَّلِيْج) is geometric tilework with glazed terra cotta tiles set into plaster, forming colourful mosaic patterns including regular and semiregular tessellations. The tradition is characteristic of Kingdom of morocco, but is also found in Moorish Spain. Zellij is used to decorate mosques, public buildings and wealthy individual houses.^[34]

Illustrations [edit]

• Media used for Islamic geometric patterns

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  Safavid bowl with radial and circular motifs, Persia, 17th century

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  Lustre tiles from Iran, probably Kashan, 1262, in the shapes of the Sufi symbols for the divine jiff

• 

• 

  Woven wool Kilim from Turkey

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  Leather prayer volume cover, Persia, 16th century

• 

Outside Islamic art [edit]

In Western culture [edit]

It is sometimes supposed in Western order that mistakes in repetitive Islamic patterns such as those on carpets were intentionally introduced equally a testify of humility past artists who believed only Allah can produce perfection, but this theory is denied.^{[51] [52] [53]}

Major Western collections hold many objects of widely varying materials with Islamic geometric patterns. The Victoria and Albert Museum in London holds at least 283 such objects, of materials including wallpaper, carved woods, inlaid forest, tin- or lead-glazed earthenware, brass, stucco, glass, woven silk, ivory, and pen or pencil drawings.^[54] The Metropolitan Museum of Fine art in New York has amid other relevant holdings 124 mediaeval (yard–1400 A.D.) objects begetting Islamic geometric patterns,^[55] including a pair of Egyptian minbar (pulpit) doors most 2 chiliad. high in rosewood and mulberry inlaid with ivory and ebony;^[56] and an unabridged mihrab (prayer niche) from Isfahan, decorated with polychrome mosaic, and weighing over two,000 kg.^[57]

Wooden box inlaid with ivory with zellij-like geometrical motifs. Italy (Florence or Venice) 15th century.

Islamic ornament and craftsmanship had a pregnant influence on Western art when Venetian merchants brought goods of many types dorsum to Italia from the 14th century onwards.^[58]

The Dutch creative person M. C. Escher was inspired by the Alhambra'south intricate decorative designs to study the mathematics of tessellation, transforming his style and influencing the rest of his artistic career.^{[59] [60]} In his own words it was "the richest source of inspiration I take ever tapped."^[61]

Influence on the sciences [edit]

Cultural organisations such as the Mathematical Sciences Research Institute and the Establish for Advanced Report run events on geometric patterns and related aspects of Islamic fine art.^[62] In 2013 the Istanbul Heart of Design and the Ensar Foundation ran what they claimed was the first ever symposium of Islamic Arts and Geometric Patterns, in Istanbul. The console included the experts on Islamic geometric pattern Carol Bier,^[g] Jay Bonner,^{[h] [65]} Eric Broug,^[i] Hacali Necefoğlu^[j] and Reza Sarhangi.^{[yard] [69]} In Britain, The Prince'southward School of Traditional Arts runs a range of courses in Islamic art including geometry, calligraphy, and arabesque (vegetal forms), tile-making, and plaster carving.^[70]

Tomb towers of two Seljuk princes at Kharaghan, Qazvin province, Iran, covered with many different brick patterns like those that inspired Ahmad Rafsanjani to create auxetic materials

Computer graphics and computer-aided manufacturing arrive possible to blueprint and produce Islamic geometric patterns effectively and economically. Craig S. Kaplan explains and illustrates in his Ph.D. thesis how Islamic star patterns can be generated algorithmically.^[71]

2 physicists, Peter J. Lu and Paul Steinhardt, attracted controversy in 2007 past claiming^[72] that girih designs such as that used on the Darb-e Imam shrine^[50] in Isfahan were able to create quasi-periodic tilings resembling those discovered by Roger Penrose in 1973. They showed that rather than the traditional ruler and compass construction, it was possible to create girih designs using a gear up of five "girih tiles", all equilateral polygons, secondarily decorated with lines (for the strapwork).^[73]

In 2016, Ahmad Rafsanjani described the apply of Islamic geometric patterns from tomb towers in Iran to create auxetic materials from perforated safe sheets. These are stable in either a contracted or an expanded land, and can switch between the two, which might exist useful for surgical stents or for spacecraft components. When a conventional material is stretched along ane centrality, it contracts forth other axes (at right angles to the stretch). Simply auxetic materials expand at correct angles to the pull. The internal structure that enables this unusual behaviour is inspired by two of the 70 Islamic patterns that Rafsanjani noted on the tomb towers.^[74]

Notes [edit]

1. ^ Critchlow is a professor of compages, and the writer of a book on Islamic patterns.
2. ^ Wade is the author of a serial of books on design in various artforms.
3. ^ Behrens-Abouseif is a professor of the history of art and architecture at SOAS.
4. ^ One such identify is the Mustansiriyya Madrasa in Baghdad, equally illustrated past Broug.^[25]
5. ^ Leaving the flask porous allowed evaporation, keeping the h2o cool.^[35]
6. ^ Baer is Emeritus Professor of Islamic Studies at Tel Aviv University.^[44]
7. ^ Bier is a historian of Islamic art who studies pattern.^[63]
8. ^ Bonner is an builder specialising in Islamic ornamentation.^[64]
9. ^ Broug writes books and runs courses on Islamic geometric blueprint.^[66]
10. ^ Necefoğlu is a professor of chemistry at Kafkas Academy interested in pattern and crystallography.^[67]
11. ^ Sarhangi is the founder of The Bridges Organization. He studies the mathematics of Persian compages and mosaic design.^[68]
12. ^ Illustrated higher up.

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External links [edit]

• Museum with no Frontiers: Geometric Decoration
• Victoria and Albert Museum: Teachers' resource: Maths and Islamic art & design

bankerweas1962.blogspot.com

Source: https://en.wikipedia.org/wiki/Islamic_geometric_patterns

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