Boundary Set

A (symmetrical) boundary set of radius r and center x_0 is the set of all points x such that


Let x_0 be the origin. In R^1, the boundary set is then the pair of points x=r and x=-r. In R^2, the boundary set is a circle. In R^3, the boundary set is a sphere.

See also

Circle, Compact Set, Disk, Open Set, Sphere

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Croft, H. T.; Falconer, K. J.; and Guy, R. K. Unsolved Problems in Geometry. New York: Springer-Verlag, p. 2, 1991.

Referenced on Wolfram|Alpha

Boundary Set

Cite this as:

Weisstein, Eric W. "Boundary Set." From MathWorld--A Wolfram Web Resource.

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