Pick's Theorem in two-dimensional lattices
In this article, a generalization of Pick's Theorem is presented, which establishes an expression for the area of simple polygons whose vertices are points of an arbitrary two-dimensional lattice, in terms of the determinant and the number of lattice points inside the polygon and on its boundar...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2025 |
| Country: | Brasil |
| Institution: | Universidade Federal de Santa Maria (UFSM) |
| Repository: | Revista Ciência e Natura (Online) |
| Language: | Portuguese |
| OAI Identifier: | oai:ojs.pkp.sfu.ca:article/87983 |
| Online Access: | https://periodicos.ufsm.br/cienciaenatura/article/view/87983 |
| Access Level: | Open access |
| Keyword: | Pick's Theorem Polygon areas Lattices Teorema de Pick Áreas de polígonos Reticulados |
| Summary: | In this article, a generalization of Pick's Theorem is presented, which establishes an expression for the area of simple polygons whose vertices are points of an arbitrary two-dimensional lattice, in terms of the determinant and the number of lattice points inside the polygon and on its boundary. |
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