Computing the bridge length: the key ingredient in a continuous isometry classification of periodic point sets

McManus, J.; Kurlin, V.

doi:10.1107/S2053273325008253

Acta Crystallographica Section A
Acta Crystallographica
Section A FOUNDATIONS AND ADVANCES

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Figure 1
Left: the orthonormal basis $[{\bf v}_{1},{\bf v}_{2}]$ generates the green lattice Λ and the unit cell U containing the blue motif M of three points. The periodic point set $[S = \Lambda+M]$ is obtained by periodically repeating M along all vectors of Λ. Right: different motifs $[M,M^{\prime}]$ in the same cell generate periodic sets that differ only by translation.

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ISSN: 2053-2733

Volume 81| Part 6| November 2025| Pages 427-437

https://doi.org/10.1107/S2053273325008253

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