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View obstruction problem. (English) Zbl 0885.11042

Lattice arrangements of convex bodies which meet (or do not meet) certain lines cause view obstructions, and the problem is to find the critical arrangements. The name was baptized by Cusick in 1973, the first of these problems (in the language of diophantine approximation) were found in 1967 by the referee. The author gives a good general lower bound for the case of the sphere.
Reviewer: J.M.Wills (Siegen)

MSC:

11H06 Lattices and convex bodies (number-theoretic aspects)
52C07 Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry)
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