Lagrange's Four-Square Theorem Seen Using Polygons and Lines
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Descrição
Any natural number can be represented as the sum of the squares of four non-negative integers. For most numbers there are multiple representations. In this Demonstration the four integers (not squared) may be viewed using three different options.1. For each set of four numbers a polygon is displayed with vertices and .2. Each set is sorted from smallest to largest. The first two numbers a;;


Full article: Area Difference Bounds for Dissections of a Square into an Odd Number of Triangles
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Lagrange's Four-Square Theorem Seen Using Polygons and Lines - Wolfram Demonstrations Project
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Prove Lagrange's four-square theorem via Minkowski Theorem

The implicit polygon in case (2A), in the e i e j-plane, and the

Lagrange's four-square theorem

Lagrange's Four-Square Theorem Seen Using Polygons and Lines - Wolfram Demonstrations Project

Lagrange's Four-Square Theorem Seen Using Polygons and Lines - Wolfram Demonstrations Project
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