Spherical Distribution of 5 Points with Maximal Distance Sum
نویسندگان
چکیده
In this paper, we mainly consider the problem of spherical distribution of 5 points, that is, how toconfigure 5 points on a sphere such that the mutual distance sum attains the maximum. It is conjecturedthat the sum of distances is maximal if 5 points form a bipyramid configuration in which case two pointsare positioned at two poles of the sphere and the other three are positioned uniformly on the equator.We study this problem using interval methods and related technics, and give a proof for the conjecturethrough computers in finite time.
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 46 شماره
صفحات -
تاریخ انتشار 2011