By doubling the number of sides of the hexagon to a 12-sided polygon, then a 24-sided polygon, and finally 48- and 96-sided polygons, Archimedes was able to bring the two perimeters ever closer in ...

The hat is a 13-sided polykite shape consisting of eight kites connected at their edges, and is referred to mathematically as a “weakly chiral aperiodic monotile,” in which both the tile and ...

A group of computer scientists discovered the first true "einstein" shape. The shape comes with 13 sides and can cover a plane without ever repeating. The find has applications in material science.

A group of computer scientists discovered the first true "einstein" shape. The shape comes with 13 sides and can cover a plane without ever repeating. The find has applications in material science.

Then, last November, retired printing systems engineer David Smith of Yorkshire, England, had a breakthrough. He discovered a 13-sided, craggy shape that he believed could be an einstein tile.

The hat tiling only uses one shape, an “einstein,” which is German for “one stone,” making the pattern an aperiodic monotile. The 13-sided hat is a polykite shape, consisting of eight ...

Infinitely many copies of a 13-sided shape can be arranged with no overlaps or gaps in a pattern that never repeats. David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss (CC ...

By Emily Conover March 24, 2023 at 7:00 am - More than 2 years ago A 13-sided shape known as “the hat” has mathematicians tipping their caps.