Amicable Lattice Rhombuses Are Equable
A polygon is equable if its area is equal to its perimeter. A pair of polygons is an amicable pair if the area of the first is equal to the perimeter of the second, and vice versa. A polygon is a lattice polygon if its vertices lie on the integer lattice. We show that amicable lattice rhombuses are actually equable.
Authors
- W. Zeng (ORCID: https://orcid.org/0000-0001-6344-247X)
- Iwan Praton
- Bohdan Biekietov
Institutions
- Franklin & Marshall College (US)
Publication Details
- Journal
- Geometry
- Published
- 2026-09-15
- DOI
- https://doi.org/10.3390/geometry3030018
- Primary Topic
- Mathematics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00