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Tesselation

Ciro Santilli (@cirosantilli, 37) Mathematics Area of mathematics Geometry
Updated 2025-07-16  0 By others on same topic  0 Discussions Create my own version
  • Table of contents
    • Aperiodic tiling Tesselation
    • Tiling of the plane Tesselation
      • Aperiodic monotile Tiling of the plane
        • Smith aperiodic monotile Aperiodic monotile
        • Spectre aperiodic monotile Aperiodic monotile

Aperiodic tiling

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Tesselation
www.quantamagazine.org/nasty-geometry-breaks-decades-old-tiling-conjecture-20221215/

Tiling of the plane

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Tesselation
math.libretexts.org/Bookshelves/Arithmetic_and_Basic_Math/Book%3A_Basic_Math_(Grade_6)/01%3A_Area_and_Surface_Area/01%3A_Lessons_Reasoning_to_Find_Area/1.01%3A_Tiling_the_Plane
Video 1.
Hexagons are the Bestagons by CGP Grey (2020)
Source.

Aperiodic monotile

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Tiling of the plane

Smith aperiodic monotile (needs reflections, March 2023)

 0  0
Aperiodic monotile
Preprint: arxiv.org/abs/2303.10798
Figure 1. Source.

Spectre aperiodic monotile (no reflections, May 2023)

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Aperiodic monotile
aperiodical.com/2023/05/now-thats-what-i-call-an-aperiodic-monotile/

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