Forbidden Crystal Symmetry: Mathematics and architecture

Update: 2014-10-02

Description

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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Forbidden Crystal Symmetry: Mathematics and architecture

#box-pro-ellipsis-176185912237528{-webkit-line-clamp:2;}Forbidden Crystal Symmetry: Mathematics and architecture

Forbidden Crystal Symmetry: Mathematics and architecture

Roger Penrose

Forbidden Crystal Symmetry: Mathematics and architecture