When people tile their floors, they tend to use simple geometric shapes that lend themselves to repeating patterns, such as squares or triangles. Sometimes though, people want patterns that do not ...

Copies of these two tiles can form infinitely many different patterns that go on forever, called Penrose tilings. Yet no matter how you arrange the tiles, you’ll never get a periodic repeating ...

"We conceived the project as starting with a system, a law generated by a repeating geometric pattern, originating in a hexagonal shape." The six-sided rooms create a meandering trail through the ...

Once reserved for screens or inlaid panels in handmade furniture, kumiko, with its thin slats precisely cut to interlock in repeating geometric patterns, has evolved to become a craft celebrated ...

After 60 years of searching, mathematicians might have finally found a true single ‘aperiodic’ tile — a shape that can cover an infinite plane, but never make a repeating pattern.

An even more important reason is that geometric systems and Islamic religious values, though expressed in different forms, say similar things about universal values. In Islamic art, infinitely ...