2 papers
math.MG2022
A new perspective on taxicab conic sections
Emily Frost, Dylan Helliwell, Suki Shergill
We explore taxicab conic sections from the perspective of slicing taxicab cones by planes, as opposed to the more well-studied approach from the perspective of distance formulation…
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) =…