Year: 2024
Type: article
Abstract: This paper studies equable parallelograms whose vertices lie on the Eisenstein lattice. Using Rosenberger’s Theorem on generalised Markov equations, we show that the set of these parallelograms forms naturally an infinite tree, all of whose vertices have degree 4, bar the root which has degree 3. This study naturally complements the authors’ previous study of equable parallelograms whose vertices lie on the integer lattice.
Source: Mathematica Slovaca
DOI: 10.1515/ms-2024-0071
Authors: Christian Aebi, Grant Cairns
Institution: La Trobe University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,489
OpenAlex ID: W4401578273