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 2
All minimum spanning trees on extended motifs of a periodic point set S have the longest edge (in blue) of length 3, which could be made arbitrarily long, relative to a preserved minimum inter-point distance of 1 and bridge length $[\beta(S) = 2]$ due to shorter edges from the top-right point in every cell across a cell boundary.

FOUNDATIONS
ADVANCES

ISSN: 2053-2733

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

https://doi.org/10.1107/S2053273325008253

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