I don't know if this is the proper forum to ask my questions. If not, may someone be kind enough to give me proper directions. Fractals have been one of my numerous hobbies for several years. Another one of my hobbies is programming. Lately, while programming another one of those zillion fractal generators (in assembly as a challenge and by curiosity), I accidently stumbled on two "fundamentally" different simple formulas which produced the exact same fractal!!! In addition, that fractal is a replica of the Mandlebrot set in approx. a quarter of its size and shifted approx. +2 on the X axis. The Julia sets are also replicas, similarly reduced in size and shifted. My questions are: 1) Have different formulas producing the same fractal been reported in the past? 2) Are there currently known formulas, other than the z^2+c, producing a replica of the Mandelbrot set? In other words, am I re-inventing the wheel? Raymond _________________________________________________________________ MSN Premium: Up to 11 personalized e-mail addresses and 2 months FREE* http://join.msn.com/?pgmarket=en-ca&page=byoa/prem&xAPID=1994&DI=1034&SU=htt...