Something very remarkable connects the following eight geographic places.
What is it?
- Bodaybo (Russia)
- Cape Horn
- Christchurch (New Zealand)
- Cocos Islands
- Ghanzi (Botswana)
- Punta Peclas (Nicaragua)
- Vigo (Spain)
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The answer is:
These eight locations (roughly) form the vertices of a cube.
These eight places clearly are very far away from each other. They actually form four pairs of antipodal points (see for instance http://wikimapia.org/15392887/Antipodal-Point-from-Honolulu-Hawaii):
These eight points however do not maximize the minimum distance among all sets of eight points on the surface of Earth (which was my first guess).
The maximizing point set would form the corners of a square antiprism with edges of equal length, and would not contain any pair of antipodal points: