ArticleActa crystallographica. Section A, Foundations and advances2023
Geographic style maps for two-dimensional lattices.
Article in Acta crystallographica. Section A, Foundations and advances, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
5 citing papers in PubMed.
- Continuous invariant-based asymmetries of periodic crystals quantify deviations from higher symmetry.IUCrJ · 2026Article
- Computing the bridge length: the key ingredient in a continuous isometry classification of periodic point sets.Acta crystallographica. Section A, Foundations and advances · 2025Article
- Geographic-style maps with a local novelty distance help navigate in the materials space.Scientific reports · 2025Article
- Duplicate entries in the Protein Data Bank: how to detect and handle them.Acta crystallographica. Section D, Structural biology · 2025Article
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Authors and funding
3 authors.
Funding
Abstract
This paper develops geographic style maps containing two-dimensional lattices in all known periodic crystals parameterized by recent complete invariants. Motivated by rigid crystal structures, lattices are considered up to rigid motion and uniform scaling. The resulting space of two-dimensional lattices is a square with identified edges or a punctured sphere. The new continuous maps show all Bravais classes as low-dimensional subspaces, visualize hundreds of thousands of lattices of real crystal structures from the Cambridge Structural Database, and motivate the development of continuous and invariant-based crystallography.
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