A Reuleaux polygon is a curvilinear polygon built up of circular arcs. The Reuleaux polygon is a generalization of the Reuleaux triangle and, for an odd number of sides, is a curve of constant width (Gray 1997).
The generalization of Reuleaux polygons to three dimensions are known as Meissner polyhedra.
See also
Curve of Constant Width, Delta Curve, Meissner Polyhedron, Reuleaux Triangle
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References
Gray, A. "Reuleaux Polygons." ยง7.8 in Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, pp. 176-177, 1997.Reuleaux, F. The Kinematics of Machinery. New York: Dover, 1963.Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 52-54, 1991.Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, pp. 219-220, 1991.
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Cite this as:
Weisstein, Eric W. "Reuleaux Polygon." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ReuleauxPolygon.html