Mystics and mathematicians alike saw geometry as something truly special: the pattern of existence itself! They all agreed that the universe runs on precise patterns, and geometry allows us to draw ...

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 ...

Engravings on ostrich eggshells dating back around 60,000 years may offer new clues about the cognitive abilities of early ...

And it all began with a hobbyist “messing about and experimenting with shapes.” An “aperiodic monotile,” or einstein, is a shape that tiles an infinite flat surface in a nonrepeating pattern. The ...

A few minutes into a 2018 talk at the University of Michigan, Ian Tobasco picked up a large piece of paper and crumpled it into a seemingly disordered ball of chaos. He held it up for the audience to ...

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 ...

Fano varieties are known as the basic “atomic structure” of geometry, but are notoriously difficult to discover and organize. Scientists from the Imperial College of London have been attempting to ...