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This article relies largely or entirely on a single source. (December 2009)
Let X be a subset of Rn. Then reach of X is defined as
Shapes that have reach infinity include
- a single point,
- a straight line,
- a full square, and
- any convex set.
The graph of ƒ(x) = |x| has reach zero.
A circle of radius r has reach r.