Creating the tiles was simple—the first step was to find a Penrose pattern image online, which could then be used as the basis to design the 3D part in Fusion 360.

The Penrose Tiling in the Bachelor Hall Courtyard presents acclaimed art and an international discovery for a mathematical puzzle unsolved for many years. Professors and students in math classes have ...

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 ...

Tilings that fill space without a regularly repeating arrangement, such as Penrose tilings, have attracted interest since the discovery of non-periodic structures called quasicrystals in the 1980s.

Penrose tilings have since entered the wild — adorning, for instance, a pedestrian street in Helsinki and the side of a transit center in San Francisco. (There is also the Penrose Paving outside ...

Penrose tilings can explain how quasicrystals attain their “impossible” structure. In his talk Penrose explained the richness of these tilings, manipulating transparencies like a prestidigitator in ...

“The hat,” however, is an aperiodic tile, meaning it can still completely cover a surface without any gaps, but you can never identify any cluster that periodically repeats itself to do so.

Creating the tiles was simple—the first step was to find a Penrose pattern image online, which could then be used as the basis to design the 3D part in Fusion 360.

Two researchers have proved that Penrose tilings, famous patterns that never repeat, are mathematically equivalent to a kind of quantum error correction.