Frieze Groups

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Frieze Groups

Take the symmetry operations of translation (moving), rotation, reflection, and glide reflection (moving and reflecting in one step), and combine them in any way you want. It’s easy to prove, but still surprising, that no matter how you choose to combine these elements, you can only produce seven fundamentally distinct patterns. Here are examples of these seven types of patterns.

These patterns were hand drawn and decorated in Painter.