Group of All Taxicab Isometries: A Combinatorial Approach
| Autor: | Oki Neswan, Harry Sumartono |
|---|---|
| Jazyk: | English<br />Indonesian |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Jambura Journal of Mathematics, Vol 6, Iss 1, Pp 54-61 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2654-5616 2656-1344 |
| DOI: | 10.37905/jjom.v6i1.23789 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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