Math 2.0

Convex and discrete geometry Packing and covering Concept

Spherical code

Summary

A spherical code is a finite set of points on the unit sphere in ℝn\R^n, judged by how far apart its points are. The main question asks for the largest number of points with a given minimal angle. The dual question asks for the largest minimal angle for a given number of points. Kissing configurations are spherical codes with minimal angle 60∘60^\circ, and the Tammes problem is the case n=3n = 3. Upper bounds come mainly from the Delsarte linear programming bound.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Spherical_code
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MSC52C17, 94B65, 05B40
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