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10

COMPGEOM
2004
ACM

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Solution of Scott's problem on the number of directions determined by a point set in 3-space

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Solution of Scott's problem on the number of directions determined by a point set in 3-space

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Let P be a set of n points in Ê3 , not all in a common plane. We solve a problem of Scott (1970) by showing that the connecting lines of P assume at least 2n − 7 diﬀerent directions if n is even and at least 2n − 5 if n is odd. The bound for odd n is sharp.

János Pach, Rom Pinchasi, Micha Sharir

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Added	30 Jun 2010
Updated	30 Jun 2010
Type	Conference
Year	2004
Where	COMPGEOM
Authors	János Pach, Rom Pinchasi, Micha Sharir

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