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  1. Mar 29, 2023 · Experts have searched for decades for a polygon that only makes non-repeating patterns. But no one knew it was possible until now. Infinitely many copies of a 13-sided shape can be arranged...

    • Will Sullivan
  2. Apr 10, 2023 · A new shape called an einstein has taken the math world by storm. The craggy, hat-shaped tile can cover an infinite plane with patterns that never repeat.

  3. Mar 31, 2023 · A new 13-sided shape is the first example of an elusive "einstein" — a single shape that can be tiled infinitely without repeating a pattern.

  4. Mar 24, 2023 · Mathematicians found the first true “einstein,” a hatlike shape that can be tiled to cover an infinite plane, but with a pattern that can’t repeat.

  5. Aug 12, 2016 · In fact we’ve only known that non-periodic tiling, which creates never-repeating patterns, can exist in crystals for a couple of decades. Now my colleagues and I have made a model that can...

    • Priya Subramanian
  6. Jun 1, 2023 · First truly single aperiodic tile discovered that can cover an infinite surface without repeating itself. A shape (highlighted in green) that can endlessly tile an area without making a...

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  8. May 30, 2023 · Mathematicians solved a decades-long mystery earlier this year when they discovered a shape that can cover a surface completely without ever creating a repeating pattern. But the...

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