Busy yesterday didn't get time to post the Fractal Follies fractal. Well here it is, a fusion of iteration loops,
with bailouts and inverse bailouts. You've got newtons in my mandelbrots-you've got mandelbrots in my newtons!
While not tachyon based and faster than light instant viewing is available at http://maxitersfractalfollies.blogspot.com
fract224.gif       { ; newtons and mandelbrots my oh my!
                     ; firey colors
                     ; calctime   0:01:17.67
                     ; created May 22, 2010
                     ;  Fractint Version 2004 Patchlevel 9
  reset=2004 type=formula formulafile=bejones.frm
  formulaname=BJ-SG-MaNewt-001 function=recip
  center-mag=-0.480601/0/0.6666667 params=24/0 float=y maxiter=2400
  inside=0 periodicity=0
  colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\
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  1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\
  0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\
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  0720720620620520520520420420420320320220220220120120010
  }

frm:BJ-SG-MaNewt-001 {    ;Modified Sylvie Gallet [101324,3444], 1995
   z = fn1(1/pixel) , c = z , iter = 1
   rad = 3.1 , center = (1.0,0.1)
   pix = (10*pixel+(5.0,-3.4))*(-0.1,-0.95)
   zn = center+rad/(pix-center)
   limit = real(p1) , b1 = 16 , b2 = 0.0001 :
   test1 = (iter<limit) , test2=(iter!=limit)
   z = (z-zn)*test2 + zn
   z2 = z*z , z4 = z2*z2 , z1 = (z4*z-1)/(4*z4)
   z = (z2+c)*test1 + (z-z1)*(1-test1)
   iter = iter+1
   ((|z| <= b1) * test1) || ((|z1| >= b2) * (1-test1))
}
Roger Alexander

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