Originally posted by CalJust
Hi Gastel - thanks for reminding me of that anecdote - however, it applied to the OTHER fly-and-cyclists problem!
Do you also know the short answer to this one?
They're gay and stalk the one on the opposite so the 'spiral' is simply a straight line to the centre and is length ROOT(0.5). When they meet at the centre, the opposite sexes ignore each other completely and have at it with their opposite number.
Actually, I have never heard this one before (for heteroinsextivorous flies), but from an optimization point of view, even if they were chasing a fly in an adjacent corner, and no two flies were chasing either the same fly or each other, then they would follow this same curve as it would lead to the quickest mutual victory. If two flies chased the same fly, then the spirals would be more complex but would follow one edge for two flies (as they head directly toward each other) and meet in the middle. If two pairs of mutually attracting flies was the situation, then all flies would follow their edge and two orgies on opposite midpoints would be had. (Until they got tired of each other and needed to go out and 'discover' themselves with some slimy turd of a fly - if he dare comes near me I'll - nevermind that was a few marriages and long ago and I'm over it - the midpoint was fine for me - we had our laughs - but then the spirals started again - and she was headed for the other female - and then I found myself the target of the other male and my spiral was constrained by the damn 1 meter edge table and soon his bad breath was on my neck and ... )
I'm going for a drink. Later.