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The Secrets of Mathematics · Dec 4, 2014 · 54 min

Forbidden Crystal Symmetry: Mathematics and architecture - Roger Penrose

World-renowned mathematician Sir Roger Penrose, Oxford University, describes how crystalline symmetries are necessarily 2-fold, 3-fold, 4-fold, or 6-fold.

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World-renowned mathematician Sir Roger Penrose, Oxford University, describes how crystalline symmetries are necessarily 2-fold, 3-fold, 4-fold, or 6-fold.

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