The nonrepeating Smith hat tile created twisting, pinwheel-like light patterns that ordinary quasicrystals do not produce. Its unusual effect comes from combining long-range order with a lack of ...

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 ...

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 ...