[math-fun] Puzzle

Suggestion: First guess the answer before doing any calculation. PUZZLE: Let S and T be unit segments in 3-space with S parallel to the z-axis, with midpoint at (-x,0,0) and T parallel to the y-axis, with midpoint at ( x,0,0). Connect each endpoint of S to one endpoint of T so as to get disjoint segments U and V. Set m(x) := the (least) distance between U and V. QUESTION: What is the limit of m(x) as x -> oo ? --Dan _____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele