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Image: Reuleaux kite

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Description: 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.
Title: Reuleaux kite
Credit: Own work
Author: David Eppstein
Usage Terms: Creative Commons Zero, Public Domain Dedication
License: CC0
License Link: http://creativecommons.org/publicdomain/zero/1.0/deed.en
Attribution Required?: No

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