The simplest path between two points is a straight line
Quite unrelated (and simply mentioned because I spend a bit of time thinking about it and thought it was interesting), but this variant of the statement is incorrect (the original one, with shortest instead of simplest is correct, at least in standard space). If you picked two points at random on a circle with radius 1, the points will be extremely hard to express (with probability 1) and it is far simpler to define the circle with radius 1 and a direction (those two things together would define a path from one of the points to the other) than whatever straight line goes through those two points.
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