December 11, 2022

TIL about the inner magic of Penrose tiling

Today I learned and obsessed over Penrose tiling.


Via Wikipedia:

A Penrose tiling is an example of an aperiodic tiling. Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and aperiodic means that shifting any tiling with these shapes by any finite distance, without rotation, cannot produce the same tiling. However, despite their lack of translational symmetry, Penrose tilings may have both reflection symmetry and fivefold rotational symmetry. Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated them in the 1970s.

Reading about types of symmetries I run into an explanation of the Penrose patterns of tiles and a demonstration of why it never repeats.

December 11, 2022 · #til


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