Faster access than browser!Similarities between Convex lattice polytope and Ehrhart polynomial
Convex lattice polytope and Ehrhart polynomial have 6 things in common (in Unionpedia): Convex hull, Integer lattice, Pick's theorem, Polytope, Toric variety, Unit cube.
Convex hull
In mathematics, the convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X., p. 3.
Convex hull and Convex lattice polytope · Convex hull and Ehrhart polynomial ·
Integer lattice
In mathematics, the n-dimensional integer lattice (or cubic lattice), denoted Zn, is the lattice in the Euclidean space Rn whose lattice points are ''n''-tuples of integers.
Convex lattice polytope and Integer lattice · Ehrhart polynomial and Integer lattice ·
Pick's theorem
Given a simple polygon constructed on a grid of equal-distanced points (i.e., points with integer coordinates) such that all the polygon's vertices are grid points, Pick's theorem provides a simple formula for calculating the area of this polygon in terms of the number of lattice points in the interior located in the polygon and the number of lattice points on the boundary placed on the polygon's perimeter: In the example shown, we have interior points and boundary points, so the area is.
Convex lattice polytope and Pick's theorem · Ehrhart polynomial and Pick's theorem ·
Polytope
In elementary geometry, a polytope is a geometric object with "flat" sides.
Convex lattice polytope and Polytope · Ehrhart polynomial and Polytope ·
Toric variety
In algebraic geometry, a toric variety or torus embedding is an algebraic variety containing an algebraic torus as an open dense subset, such that the action of the torus on itself extends to the whole variety.
Convex lattice polytope and Toric variety · Ehrhart polynomial and Toric variety ·
Unit cube
A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long.
Convex lattice polytope and Unit cube · Ehrhart polynomial and Unit cube ·
The list above answers the following questions
- What Convex lattice polytope and Ehrhart polynomial have in common
- What are the similarities between Convex lattice polytope and Ehrhart polynomial
Convex lattice polytope and Ehrhart polynomial Comparison
Convex lattice polytope has 18 relations, while Ehrhart polynomial has 36. As they have in common 6, the Jaccard index is 11.11% = 6 / (18 + 36).
References
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