A Pure Taxicab Perspective on Isometries
Metric Geometry
2024-11-13 v1
Abstract
In this paper, we explicitly show the various isometries of the plane under the taxicab metric. We then use these isometries to prove that Euclid's proposition I.5 for isoscelese triangles is true under certain circumstances in taxicab geometry.
Cite
@article{arxiv.2411.07471,
title = {A Pure Taxicab Perspective on Isometries},
author = {Jonathan D. Dunbar and Nathaniel Woltman},
journal= {arXiv preprint arXiv:2411.07471},
year = {2024}
}
Comments
13 pages, 6 figures