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Geometric Span


Span2D
Span3D

The geometric span is largest possible distance between two points drawn from a finite set of points. It is therefore closely related to the generalized diameter of a closed figure.

Jung's theorem states that every finite set of points with geometric span d has an enclosing circle with radius no greater than d/sqrt(3).


See also

Blaschke's Theorem, Borsuk's Conjecture, Computational Geometry, Convex Hull, Enclosing Circle, Jung's Theorem, Minimal Enclosing Circle, Point Distances, Polygon Diameter

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Cite this as:

Weisstein, Eric W. "Geometric Span." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GeometricSpan.html

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