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Set of Spheres (Posted on 2005-11-03) Difficulty: 4 of 5
Let A, B, and C be spheres that are tangent pairwise and whose points of tangency are distinct. Let {D1, D2, ..., Dn} be a set of spheres each of which is tangent to spheres A, B, and C. For i = 1 to n, Di is externally tangent to Di+1 (where Dn+1 = D1).

What is the value of n?

See The Solution Submitted by Bractals    
Rating: 4.0000 (1 votes)

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re(2): mathworld link Comment 7 of 7 |
(In reply to re: mathworld link by Josh70679)

I was referring to the number of circles in the Steiner Chain - the 2-D version.  It can be seen in the animations that the number of (red) circles can be 3, 4, or 5.
  Posted by Jer on 2005-11-07 07:39:00

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