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Examples

  • Some of the most complex patterns, called ''girih'' in Persian, consist of sets of contiguous polygons fitted together with little distortion and no gaps.

    Another article on Islamic mathematical find 2007

  • Many medieval Islamic buildings' walls have ornate geometric star-and-polygon, or "girih," patterns, which are often overlaid with a swirling network of lines.

    Archive 2007-02-01 2007

  • Some of the most complex patterns, called ''girih'' in Persian, consist of sets of contiguous polygons fitted together with little distortion and no gaps.

    Archive 2007-02-01 2007

  • Many medieval Islamic buildings' walls have ornate geometric star-and-polygon, or "girih," patterns, which are often overlaid with a swirling network of lines.

    Medieval Muslims made stunning math breakthrough 2007

  • There is a common characteristic in girih ornate tile work that permits non-repeating patterns to be aligned in large-scale works; one edge of each tile used in the tile work must be the same length as that of all of the other tiles used.

    The Geometry of Perfume’s Future Michelle Krell Kydd 2009

  • But Peter Lu of Harvard University and Paul Steinhardt of Princeton University, writing in the journal Science, found that "by the 13th century artisans had begun producing the patterns using a small set of decorated polygonal tiles, which the authors term 'girih tiles,'" according to a statement by journal's publisher, the American Association for the Advancement of Science.

    Archive 2007-02-01 2007

  • ''Again and again, girih tiles provide logical explanations for complicated designs,'' Mr. Lu said in a news release from Harvard.

    Archive 2007-02-01 2007

  • "This girih tile method was more efficient and precise than the previous approach, allowing for an important breakthrough in Islamic mathematics and design," the statement said.

    Archive 2007-02-01 2007

  • The scientists found that by 1453, Islamic architects had created overlapping patterns with girih tiles at two sites to produce near-perfect quasicrystalline patterns that did not repeat themselves.

    Archive 2007-02-01 2007

  • Art historians have until now assumed that the intricate tilework had been created using straight edges and compasses, but the study in Science suggests the Islamic artisans were using a basic toolkit of girih tiles made up of shapes such as the decagon, pentagon, diamond and hexagon.

    Archive 2007-02-01 2007

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