Convex Lattice Heptagons with Boundary Trapezoids
Abstract
We consider a Cartesian coordinate system. A point in a plane whose both coordinates are integers is called a lattice point. A polygon that has lattice points for all its vertices is called a convex lattice polygon. A quadrilateral whose vertices are four consecutive vertices of a convex integer polygon is called a boundary quadrilateral of that polygon. It is interesting to investigate convex lattice polygons whose all boundary quadrilaterals are trapezoids.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Mathematics and Applications
Computational Geometry and Mesh Generation
Publication details
- Journal / source
- SARAJEVO JOURNAL OF MATHEMATICS
- Volume
- 21
- Issue
- 02
- Publication date
- 4 February 2026