1 Sentences With "convex figure"

How to use convex figure in a sentence? Find typical usage patterns (collocations)/phrases/context for "convex figure" and check conjugation/comparative form for "convex figure". Mastering all the usages of "convex figure" from sentence examples published by news publications.

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The simplest example of a lattice is the integer lattice of all points with integer coefficients; its determinant is 1. For , the theorem claims that a convex figure in the Euclidean plane symmetric about the origin and with area greater than 4 encloses at least one lattice point in addition to the origin. The area bound is sharp: if is the interior of the square with vertices then is symmetric and convex, and has area 4, but the only lattice point it contains is the origin. This example, showing that the bound of the theorem is sharp, generalizes to hypercubes in every dimension .