Hat Polykite, the First Aperiodic Monotile
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Hat Polykite is the 1st "einstein" shape ever discovered that can tile a plane indefinitely without repeating patterns.
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On March 20, 2023, a group of computer scientists (David Smith, Joseph Samuel Myers, Craig Kaplan and Chaim Goodman-Strauss) revealed their discovery of the holy grail of tiles.
A simple 13-sided shape, nicknamed the "hat polykite", is the first shape known that can cover a plane indefinitely without ever repeating a pattern.
In the world of math, this shape is known as an "aperiodic monotile", also called an "einstein" (or the German phrase for "one stone"), presumably to rule them all!
Photo Credit: arXiv (2023). DOI: 10.48550/arxiv.2303.10798