# Maximum number of spheres overlapping a point, with overlapping limitations.

I have a point in space, K, and I am trying to draw the highest possible number of overlapping spheres, of radius R, that contain said point. So far, the answer is "an infinite amount". The difficulty arises when I try to enforce the clause that each sphere is only allowed to overlap with up to 7 centre-points of other spheres.

How many spheres can be drawn?

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