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

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;;

MathType - Lagrange's four-square theorem states that every natural number can be represented as the sum of four integer squares. Proved by Joseph Louis #Lagrange in 1770, it can be regarded as

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

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1. Our notation for the polygon.

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

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