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# my brain hurtses!
(, Fri 28 May 2010, 13:44, archived)
# Imagine an equilateral triangle...
...wedged very tightly inside a globe (so that all the points touch the equator).

Now the distance between all three points around the outside of the globe is equal (it's a third of the equator each).

Is that the sort of thing you meant?
(, Fri 28 May 2010, 14:54, archived)