perplexus.info :: Geometry : Set of Spheres

Set of Spheres (Posted on 2005-11-03)

Let A, B, and C be spheres that are tangent pairwise and whose points of tangency are distinct. Let {D₁, D₂, ..., D_n} be a set of spheres each of which is tangent to spheres A, B, and C. For i = 1 to n, D_i is externally tangent to D_i+1 (where D_n+1 = D₁).

What is the value of n?

See The Solution Submitted by Bractals

Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): mathworld link	Jer	2005-11-07 07:39:00
re: mathworld link	Josh70679	2005-11-04 17:13:01
mathworld link	Jer	2005-11-04 12:47:40
hand waving	Josh70679	2005-11-04 00:34:10
a coincidence	Larry	2005-11-03 23:52:11
my first thoughts	Tristan	2005-11-03 18:04:43
First Thoughts	Larry	2005-11-03 17:50:57

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