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 5
Left: the three vectors $[{\bf v}_{1} = (0,1)]$ , $[{\bf v}_{2} = (2,0)]$ , $[{\bf v}_{3} = (3,0)]$ form a basis of $[{\bb Z}^{2}]$ . Other images: none of the three pairs $[({\bf v}_{2},{\bf v}_{3})]$ , $[({\bf v}_{1},{\bf v}_{2})]$ , $[({\bf v}_{1},{\bf v}_{3})]$ form a basis (insufficient for full connectedness) of $[{\bb Z}^{2}]$ . Some straight edges are shown curved for better visibility.

FOUNDATIONS
ADVANCES

ISSN: 2053-2733

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

https://doi.org/10.1107/S2053273325008253

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