Victor wrote: << I mentioned this problem to Don Coppersmith and he (not surprisingly) jumped all over it. Below are his arguments that 1) There are uncountably many starting angles, theta, for which the locus remains bounded. 2) The set of theta in [0,1] for which the locus remains bounded has measure 0 ...

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This is totally fascinating. Message to Don: Please consider joining math-fun! (We can even offer you a free membership!) --Dan _____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele