Geodesic
On the Number of Spheres Which can Hide a Given Sphere
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 413-418

Voir la notice de l'article provenant de la source Cambridge University Press

Several years ago H. Hornich suggested the following problem: find the minimal number of unit spheres which can hide a unit sphere in the sense that each ray emanating from the centre of that sphere meets at least one of the hiding spheres, with no two of the spheres overlapping. We shall call any set of spheres which hide a given unit sphere a cloud.The first result concerning this and related questions can be found in a paper of Fejes Tóth (4 ; see also 5, 7, 8, 6, and 1 ). With respect to the original problem, Fejes Tóth has given a lower estimate for the minimal number N of the spheres of a cloud. 
Heppes, Aladár. On the Number of Spheres Which can Hide a Given Sphere. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 413-418. doi: 10.4153/CJM-1967-033-4
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