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aperiodicity

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"Monotile patterns provide a platform for exploring optical phenomena that emerge from the interplay of symmetry, chirality, and aperiodicity."

From Science Daily ● Sep. 15, 2026

He created a new method for proving aperiodicity that could be performed by hand, without a computer, by showing that the einstein hat is connected to other well-known tilings that are easier to study.

From Scientific American ● Apr. 10, 2023

Dr. Goodman-Strauss views the new technique as a crucial aspect of the discovery; to date, there were only a handful of aperiodicity proofs.

From New York Times ● Mar. 28, 2023

“I wasn’t expecting such a different approach to proving aperiodicity — but everything seemed to hold together as I wrote up the details.”

From New York Times ● Mar. 28, 2023

Dr. Kaplan detected and unlocked telltale behavior that opened up a traditional aperiodicity proof — the method mathematicians “pull out of the drawer anytime you have a candidate set of aperiodic tiles,” he said.

From New York Times ● Mar. 28, 2023

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