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 ...

Add Yahoo as a preferred source to see more of our stories on Google. Computer generated image of concentric rings around a central shaded hat (dark blue). Look carefully! Mathematicians have invented ...

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 ...

The recently discovered “hat” aperiodic monotile admits tilings of the plane, but none that are periodic [SMKGS23]. This polygon settles the question of whether a single shape—a closed topological ...

Mathematicians have discovered a single shape that can be used to cover a surface completely without ever creating a repeating pattern. The long-sought shape is surprisingly simple but has taken ...

A cross section of a chambered nautilus shell shows the newly defined shape, the "soft cell," repeating outward in a spiral. FlamingPumpkin via Getty Images When humans cover a space using tiles of ...

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The discovery earlier this year of the “hat” tile marked the culmination of hundreds of years of work into tiles and their symmetries. Every day we see examples of repeating motifs. This symmetry and ...