Well, since all trancendentals are irrational, it can't be by the same metric: you can approximate any of them with rationals better than phi. On Sun, Jun 13, 2010 at 12:27 AM, Kerry Mitchell <lkmitch@gmail.com> wrote:
I've read that phi (~ 1.618, (1+sqrt(5))/2) is the "most irrational" number because of how poorly it is approximated by rational numbers. I assume that this is because it's continued fraction expansion is all 1's. Is there a sense in which some number is the "most transcendental" number? If so, what would that number and that meaning be?
Kerry Mitchell -- lkmitch@gmail.com www.kerrymitchellart.com http://spacefilling.blogspot.com/ _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
-- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com