Jambura Journal of Mathematics
Vol 6, No 1: February 2024

Group of All Taxicab Isometries: A Combinatorial Approach

Neswan, Oki (Unknown)
Sumartono, Harry (Unknown)



Article Info

Publish Date
01 Feb 2024

Abstract

In this work, we give a more thorough and exhaustive proof of the set of all isometries in taxicab geometry using a combinatorial approach. We show that isometries preserving taxicab distance while leaving the origin fixed are uniquely determined by how they permute the vertices of circles. Then, we use this principle to identify all isometries in taxicab geometry.

Copyrights © 2024






Journal Info

Abbrev

jjom

Publisher

Subject

Mathematics

Description

Jambura Journal of Mathematics (JJoM) is a peer-reviewed journal published by Department of Mathematics, State University of Gorontalo. This journal is available in print and online and highly respects the publication ethic and avoids any type of plagiarism. JJoM is intended as a communication forum ...