John D. Cook 8/19/2026

Big little hexagon

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This article explores the mathematical problem of finding the n-gon with diameter 1 and maximum area. For odd n, the regular polygon is optimal, but for even n, Graham's hexagon (n=6) provides a larger area. The post provides vertex coordinates and compares areas, showing Graham's hexagon is about 3.9% larger than a regular hexagon. It references Ron Graham's 1975 paper and is relevant to computational geometry and optimization.

Big little hexagon

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