It may look like a child's LEGO creation, but it's a mathematical marvel. Researchers have just discovered a ...

Software developer Ioannis Tsiokos has reported the discovery of a three-dimensional shape, which roughly resembles a chair, that can fill space infinitely without repeating a pattern. The shape ...

In 2023, after decades of searching, mathematicians discovered a shape called “the hat” – so named for its passing resemblance to a fedora – that can tile a 2D surface without gaps and without ever ...

The same researchers behind the 13-sided "hat" shape have stumbled upon a version that improves upon the original in a very important way. Reading time 2 minutes In March, a group of mathematicians ...

Is it possible to tile a surface with a single shape in such a way that the pattern never repeats itself? In 2022, a mathematical solution to this 'Einstein problem' was discovered for the first time.

Consider the tiles on a bathroom floor or wall; they’re often arranged in a repeating pattern. But is there a single shape that tiles such a surface — an infinite one — in a pattern that never repeats ...