2024/11/12 by Jonathan D. Dunbar, Dunbar, Jonathan D., Nathaniel Woltman +1
Engineering · Mathematics · #14R99 #51F25 #51N10 #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2411.07471
openalex publication_date 2024/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.