Keeping Afar

Four brothers in a family are entwined in a big quarrel and everyone of them wants to go as far away as possible from the others to avoid, and assume that at present they are all on the surface of the earth. Now the question is how can you determine four points on earth satisfying the above condition? i.e. keeping each one as far away as possible from the rest of the brothers.

Answer:

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.