Re my questions about sequences in the circle, this freely downloadable .pdf file is fairly relevant. (Unfortunately it's scanned, so not searchable.): < http://www.google.com/url?q=http://www.fq.math.ca/Scanned/27-1/vanravenstein... >. (I've long known about the continued fraction of tau = (sqrt(5)-1)/2 and its being the worst number approximable by rationals. But the consequences of these re the properties of n*tau (mod Z) are not to my mind immediate.) --Dan ________________________________________________________________________________________ It goes without saying that .