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 Sphere Pyramid (Posted on 2005-01-19)
You may find the Sphere Cube problem to be similar.

Four identical spheres (like the ones shown in blue in the above cube case) are arranged in a pyramid, such that each sphere is tangent to the other three. If the radius of the four spheres is R, what is the radius r of the largest sphere (such as the one shown in red on the cube picture) that could exist inside the pyramid without overlapping the other spheres?

 See The Solution Submitted by nikki Rating: 3.5000 (2 votes)

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 Subject Author Date re(2): Solution David Shin 2005-01-19 21:14:16 re: Solution Charlie 2005-01-19 18:39:54 solution Charlie 2005-01-19 18:35:43 Solution David Shin 2005-01-19 18:31:31
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