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is independent of the location of the interior point.

The principal diagonals of a hexagon each divide the hexagon into quadrilaterals. In any convex equilateral hexagon with common side a, there exists a principal diagonal d₁ such that

:

and a principal diagonal d₂ such that

:.

Optimality

When an equilateral polygon is inscribed in a Reuleaux polygon, it forms a Reinhardt polygon.

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