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For use on en:Geometric kite (replacing old png version with an improved svg) File usage. The following 5 pages use this file: Kite (geometry) Reflection symmetry;
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English: A kite with angles π/3, 5π/12, 5π/6, and 5π/12, inscribed within a Reuleaux triangle.Among all quadrilaterals, this shape is the one maximizing the ratio of perimeter to diameter: see Ball, D.G. (1973), "A generalisation of π", Mathematical Gazette 57 (402): 298–303, and Griffiths, David; Culpin, David (1975), "Pi-optimal polygons", Mathematical Gazette 59 (409): 165–175.
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