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Hat Polykite, the First Aperiodic Monotile

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  • Hat Polykite - partition lines.stl
  • Hat Polykite - round edges.stl
  • Hat Polykite - straight edges.stl

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Publication date 2023-03-25 at 02:55
Design number 1132712

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3D model description

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

3D printing settings

0.2mm layers
15% infill
No support

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