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." §7.8 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.Referenced on Wolfram|Alpha
Reuleaux Polygon
Cite this as:
Weisstein, Eric W. "Reuleaux Polygon."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ReuleauxPolygon.html
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