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 ...

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.

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 ...

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 ...

The mathematical rules for these repeating patterns say that a pattern can ... but are completely constrained by the geometric rules that had to be obeyed in order for them to fit together properly.

Four immobile models of pattern looms illuminate how weavers ... A full-scale device with moving parts would have woven repeating geometric designs on clothing and other items made of silk ...