ILL 1974 Problem 17
Show that there exists a set of distinct circles on the surface of a sphere, all having the same radius and such that touch exactly others, touch exactly others, and touch exactly others.
[General Problem: http://www.artofproblemsolving.com/Forum/viewtopic.php?f=46&t=384764]
Dataset text AI-MO AoPS. Quoted with source.
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