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Radon’s Theorem

The following result was proved by Johann Radon [1] :

Radon’s Theorem: Any set of typeset structure points in typeset structure can be partitioned into two (disjoint) sets whose convex hulls intersect.

Example: Let typeset structure. Then an arbitrary set of four points can be partition either

[Graphics:HTMLFiles/RadonTheorem_4.gif]

References

[1]  Radon, J. (1921). Mengen konvexer Körper, die einen gemeinsamen Punkt enthalten. Math. Ann., 83, 113-115.

Cite this web-page as:

Štefan Porubský: Radon’s Theorem.

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