Elsevier

Computational Geometry

Volume 2, Issue 5, March 1993, Pages 235-239
Computational Geometry

Vector summation within minimal angle

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Abstract

It is shown that any finite family of vectors in the plane with sum zero can be summed in such an order that all partial sums are inside an angle of size at most π3 with vertex at the origin, and the size π3 is the minimum. Such a family in three-dimensional space can be summed inside on octant.

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