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Star Convex


A subset X of R^n is star convex if there exists an x_0 in X such that the line segment from x_0 to any point in X is contained in X.

A star-shaped figure is star convex but not convex (as can be seen by taking x_0 to be the center of the star.)

A star convex set is always pathwise-connected, which in turn is always connected.


See also

Convex, Star Figure

This entry contributed by Alexis Humphreys

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Cite this as:

Humphreys, Alexis. "Star Convex." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/StarConvex.html

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