On the number of digital convex polygons inscribed into an (m,m)-grid
Copyright policy )On the number of digital convex polygons inscribed into an (m,m)-grid
The number of convex polygons whose all vertices belong to an integer grid of size \(m \times m\) is denoted by \(D(m)\). The authors prove that \(\log D(m)\) is of the order of magnitude \(m^{2/3}\) as \(m \to \infty\).
- Serbian Academy of Sciences and Arts Serbia
- Clarke University United States
digital polygon, Lattices and convex bodies in \(2\) dimensions (aspects of discrete geometry), Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Lattices and convex bodies (number-theoretic aspects), Computational aspects related to convexity, convex polygons, grid
digital polygon, Lattices and convex bodies in \(2\) dimensions (aspects of discrete geometry), Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Lattices and convex bodies (number-theoretic aspects), Computational aspects related to convexity, convex polygons, grid
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