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Bahuaud, Eric; Crawford, Shana; Fish, Aaron; Helliwell, Dylan; Miller, Anna; Nungaray, Freddy; Shergill, Suki; Tiffay, Julian; Velez, Nico

Apollonian sets in taxicab geometry. (English) Zbl 1450.51002

Rocky Mt. J. Math. 50, No. 1, 25-39 (2020).
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.
Reviewer: Cătălin Barbu (Bacau)

MSC:

51M05 Euclidean geometries (general) and generalizations
51M15 Geometric constructions in real or complex geometry

Keywords:

taxicab geometry; Apollonian sets
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\textit{E. Bahuaud} et al., Rocky Mt. J. Math. 50, No. 1, 25--39 (2020; Zbl 1450.51002)
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References:

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