by

Ciro Santilli (@cirosantilli, 34)

Tesselation

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

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

Tiling of the plane

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

Hexagons are the Bestagons by CGP Grey (2020)

Aperiodic monotile

Smith aperiodic monotile (needs reflections, March 2023)

Preprint: arxiv.org/abs/2303.10798

Figure 1. Source.

Spectre aperiodic monotile (no reflections, May 2023)

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

 Ancestors (4)

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