English

A new perspective on taxicab conic sections

Metric Geometry 2022-07-19 v1

Abstract

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 formulations. After establishing a significant amount of structural framework, a complete characterization of the resulting taxicab conic sections is established, and a number of special cases are explored.

Cite

@article{arxiv.2207.07865,
  title  = {A new perspective on taxicab conic sections},
  author = {Emily Frost and Dylan Helliwell and Suki Shergill},
  journal= {arXiv preprint arXiv:2207.07865},
  year   = {2022}
}

Comments

42 pages, 17 figures, submitted to The Art of Discrete and Applied Mathematics

R2 v1 2026-06-25T00:58:07.340Z