A (symmetrical) boundary set of radius 
and center 
is the set of all points 
such that
 |
Let 
be the origin.
In 
, the boundary set is then the pair
of points 
and 
. In 
, the boundary set is a circle.
In 
, the boundary set is a sphere.
Boundary Set
See also
Circle, Compact Set, Disk, Open Set, SphereExplore with Wolfram|Alpha
References
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 SetCite this as:
Weisstein, Eric W. "Boundary Set." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BoundarySet.html