Now a Harvard University researcher argues that more than 500 years ago, math whizzes met up with the artists and began creating far more complex tile patterns that culminated in what ...

In today’s Academic Minute, the University of Arkansas' Edmund Harriss examines the importance of tiling to current and historical mathematics. Harriss is a visiting professor in the mathematics ...

For example, he can transform the {8,3} pattern of crosses in “Circle Limit II” into a strikingly different {10,3} tiling, where the central figure is a star.

As the levels progress, the patterns get more and more intricate, and begin to resemble the beautiful tessellated tile patterns that adorn Middle Eastern mosques. Though they teach mathematical ...

Mathematicians have identified a new class of shapes that "tile space without using sharp corners." From bathroom floors to siding on buildings, it's common to cover areas without gaps by arranging ...

These girih tiles may have been used to generate a wide range of complex tiling patterns on major buildings from medieval Islam, including mosques in Isfahan, Iran, and Bursa, Turkey; madrasas in ...

Now, an international team of mathematicians has discovered a new class of shapes capable of tiling with a minimal amount of sharp corners, which they define as “soft cells.” Their findings ...

Most of the patterns examined failed the test, but one passed: a pattern found in the Darb-i Imam shrine (seen in the first video above), built in 1453 in Isfahan, Iran. Not only does it never repeat ...