New Fractal

Just as Warp said, the large exponents lead to standard Mandelbrot and Julia
patterns that are nearly round and quite boringly repetitive around their
perimeters.

However the new Mandelbrot/Julia hybrids (especially with values of the MJFract
extrapolating past Julia, i.e. > 1) lead to football shapes with one
Mandelbrot-ish side and one Julia-ish.  The interest comes at the cusps where
the two regimes interfere.

I am unable to post the 1-Giga-pixel image that took about 20 minutes to render:

 Exponent = 255
 JuliaX   = [0.353,0.288]
 MJFract  = 2.0
 Rgn Rect = [[-0.2566,+0.8909],[-0.1316,+1.0159]]
 Res      = [32K,32K]


Of course, the Exponent=2 case is very interesting everywhere.  And this
suggests how to proceed:  A more subtle hybridization which has its number of
cusps equal to its exponent.


detail from it (Exponent=31) has now been posted.  I think it is a rather
interesting pattern.

--Algo

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