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.
Equilateral dimension of Riemannian manifolds with bounded curvature.Rose- Hulman Undergraduate Mathematics Journal, 14(1):Article 8
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Non-Euclidean Erd\H{o}s-Anning Theorems
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.