# integral apollonian sphere packing

Can a sequence of cotangent spheres be packed inside a sphere so that the reciprocals of all of the radii are integers, like the integral apollonian circle packings on http://en.wikipedia.org/wiki/Apollonian_packing?

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## 1 Answer

Yes - see the "bowl of integers". And if you want to go to higher dimensions, there's a paper of Graham et al.

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