2 papers
math.MG2023
A Poincaré ball model for taxicab hyperbolic geometry
Aaron Fish, Dylan Helliwell
Taxicab space is a modification of Euclidean space that uses an alternative notion of distance. Similarly, the Poincaré ball is a model of hyperbolic geometry that consists of a su…
math.MG2018
Apollonian sets in taxicab geometry
Eric Bahuaud, Shana Crawford, Aaron Fish +6
Fix two points and in the plane and a positive number . A result credited to Apollonius of Perga states that the set of points that satisfy $d(x, p)/d(x, q) =…