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Hyperbolic Voronoi diagrams made easy

Frank Nielsen, Richard Nock · 2010 · DOI 10.1109/iccsa.2010.37

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Non-Euclidean Erd\H{o}s-Anning Theorems

math.MG · 2024-01-12 · unverdicted · novelty 8.0

Proves non-Euclidean analogs of the Erdős-Anning theorem on integer-distance point sets and resolves Guy's equilateral dimension question via additively weighted Voronoi diagrams.

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  • Non-Euclidean Erd\H{o}s-Anning Theorems math.MG · 2024-01-12 · unverdicted · none · ref 31

    Proves non-Euclidean analogs of the Erdős-Anning theorem on integer-distance point sets and resolves Guy's equilateral dimension question via additively weighted Voronoi diagrams.