Roger Penrose discovered a pair of diamond-shaped tiles that can only form nonrepeating patterns, seen here under his feet. Photograph: Andrew Fox/Alamy This extreme fragility might make quantum ...

By and large though, whatever pattern you choose, it will normally end up repeating on some scale or other. That is, unless you go with something like a Penrose Wave Tile.

By and large though, whatever pattern you choose, it will normally end up repeating on some scale or other. That is, unless you go with something like a Penrose Wave Tile.

A Penrose pattern is formed by starting with darts and kites surrounding one vertex and then expanding radially. In September 1976, Miami University held its Fourth Annual Mathematics and Statistics ...

Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated them in the 1970s. Just like the Penrose, you can identify matching patterns on a small scale.

In the 1970s, Nobel prize-winning physicist Roger Penrose found a set of only two tiles that could be arranged together in a nonrepeating pattern, now known as a Penrose tiling.

The Penrose-Hameroff theory of quantum consciousness argues that microtubules are structured in a fractal pattern which would enable quantum processes to occur.

According to Penrose, they can persist that way essentially forever, as standard quantum theory predicts. Large objects, on the other hand, create such significant gravitational fields that the ...

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 pattern ...