Apollonian sets in taxicab geometry. (English) Zbl 1450.51002

The authors introduce Apollonian sets in the taxicab plane, recognize that these sets fit into a more general framework, and they establish a number of foundational facts about them. The authors provide a complete characterization of all Apollonian sets.


51M05 Euclidean geometries (general) and generalizations
51M15 Geometric constructions in real or complex geometry
Full Text: DOI arXiv Euclid


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