Crystallographic Restriction

Theorem

A symmetry of a crystal that has finite must be of order $1$, $2$, $3$, $4$ or $6$.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): crystallography
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): crystallography