Why Penrose Tiles Never Repeat

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Why Penrose Tiles Never Repeat with tags physics, minutephysics, science

This video is about a better way to understand Penrose tilings (the famous tilings invented by Roger Penrose that never repeat themselves but still have some kind of order/pattern).

REFERENCES

Music algorithmically generated, algorithm designed by Henry Reich

De Bruijn, N.G., 1981. Algebraic theory of Penrose’s non-periodic tilings of the plane. Kon. Nederl. Akad. Wetensch. Proc. Ser. A, 43(84), pp.1-7.

Here are some excellent in-depth references on how to construct Penrose Tiles Using the Pentagrid Method:

An interesting popular science read on the discovery on quasicrystals and their connection to Penrose Tilings:

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Created by Henry Reich