Going Farthest
Four brothers have a horrible fight and decide to get away as far away from each other as humanly possible. Assuming they stay on the surface of the earth (of course) where should they go so as to realize their greatest mutual separation?
Answer:
There are several ways to interpret the problem. The most common solution involves putting the four brothers at the vertices of a regular tetrahedron inscribed in the sphere of the earth. This solution is mimicked in nature by the arrangement of four hydrogen atoms surrounding a carbon atom in a molecule of methane.
posted by padmaram @ 6:50 PM
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