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 Solid triangles (2) (Posted on 2005-12-05)
There are three points on the surface of a sphere centered at origin. One has an x coordinate of 0, another has a y coordinate of 0, and the last has a z coordinate of 0.

What is the biggest possible equilateral triangle that can be made using these three points as the corners? How many equilateral triangles of this size are possible?

What if instead of a sphere, it is a regular octahedron centered at origin, with each of its vertices on an x, y, or z axis?

 See The Solution Submitted by Tristan No Rating

 Subject Author Date re(3): part 1 spoiler MindRod 2005-12-06 22:46:41 re(2): part 1 spoiler Charlie 2005-12-06 10:14:33 re(2): part 1 spoiler Charlie 2005-12-06 09:27:16 re: part 1 spoiler MindRod 2005-12-05 22:18:29 re: part 1 spoiler Tristan 2005-12-05 20:44:00 part 2--the octahedron--spoiler. Charlie 2005-12-05 09:53:27 part 1 spoiler Charlie 2005-12-05 09:37:06

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