Fractal of the Day
by Jim Muth

Gestating Fractal ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- August 01, 2007   (Rating 9)

Fractal visionaries and enthusiasts:

It's rare that I rate a fractal image as high as a 9, but I feel that today's image earns it.   Such brilliant colors are rarely seen in a fractal with a limited 256-color palette.   I actually put over 1/2 hour extra effort into the coloring, which further justifies the rating.

The image is a scene near the point where the chaos extending from the nose of the Mandeloid in yesterday's 'Parent Fractal' image merges into a terminating ring.   To make things more interesting, I raised the escape radius to the point where the 'outside' stuff is breaking up and the screen is about to become blank.   Then I brought the newly-exposed inside stuff to life with the 'bof61' inside fill.   The 'inside' and 'outside' stuff blends so harmoniously that it is impossible to tell apart.   The escape radius of 1.36769e+023 is quite critical, and it loads correctly from the parameter file.

I named the image "Gestating Fractal", since I expect quite a few more good images to come from the same parent fractal.   The calculation time of 5 minutes on the P2000 would be only about 1/2 hour on the P200.   The P4 processors do not seem to reach their full speed potential with 16-bit programs such as Fractint.

As always, the most efficient way of viewing the scene is to visit the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
and instantly see its full glory posted there.

The next few FOTD's will feature further striking images from the parent fractal of today's image.   When I find a really good fractal like today's parent, I can't let it go with only one image.

Tuesday was definitely user friendly here at Fractal Central.   The sky was a clear blue and the humidity was low.   The only flaw was a slightly too-warm high temperature of 88F 31C, but with such dry air, it cooled off quickly when the sun went down.   The fractal cats must have approved -- at least I heard no complaints.

In my department, the moderate amount of work was finished with plenty time to spare, permitting extra time on today's fractal.   The next fractal, hopefully just as good as today's, will appear right here in 24 hours.   Until then, take care, and we must hope that something will always prevent backward time travel, so that we can avoid facing those irrational time-travel paradoxes.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE=======================================

Gestating_Fractal  { ; time=0:05:06.81-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=-153.3091218623742/+185.2008387397287/\
  2.58795e+008/1/2.51929077138304347/0.01139548530662
  params=2.5/-1.05/0.35/-5.05/0/1.36769e+023/0/0
  float=y maxiter=5000 inside=bof61 periodicity=10
  colors=0008_S9YSAXSE_UJbVNcVSgXXhX`kYcmYhp_mr_rv`w\
  w`zrbzzbzlUzeKzgCoU3zW0gM0mP0YS0VU0QX2M_3Hb5Ec6Ag8\
  6j92mA0oA0kC0jC0hC0eC0cC2bD2_D2YD2XD2UD3SE3QE3NE3M\
  E3KE2JG0HH0GJ0EK0DM0CN0AP09Q08S06U05V03X02Y00_00`0\
  0`00g00m00r00y00z00z00z03z08z0Cz0Ez0Jz0Nz0Qz0Vz0_z\
  0bz0gz0kz0oy0tw0yv0zv0tv9mv6jp3hk2gg0ec0c_0`V0_Q0Y\
  N0XJ0VE0SA0Q80P30N00M00P00Q00S00U00V00X00JA06X00t0\
  0z00z00z00z00z00y00v00r00m00j00g00b00_00X00U20Y20`\
  22c25g28j36m56p56t65w65z85z85z93z93zA3zA3zC5zD5zE5\
  zG6zH6zJ6zK8zM8zN8zGGz9Pt2Ym0`p0cr0et0hw0jy0mz0pz0\
  rz0vz0wz0zz0zz0vz0ot0hj0c`0YS0SJ0MA0H30K50M60N80Q9\
  2SA6UCAVD9UH8UK6UN5UQ3SU2SX0S_0Sb0Qg0Qj0Qm0Qp0Pt0P\
  w0Pz0PzQHPzA0vG0mK5gWC_VJreQMe_Ekg8oo2vw0zz0lz8zzP\
  szgpyzmzzjtzgrzcpzcpz`ozkmzkkztkztjzzhzzgztgztezkc\
  zkczc_zcXzXSzXPzPMzPHtEEzHCz58zA5o02r00y00S00b00EM\
  0EP0ES2EV3EX6E_8Eb93cS6`S }

frm:MandAutoCritInZ {; Jim Muth
  a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
  g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
  k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
  z=k*((a*(z^b))+(d*(z^f)))+c,
  |z| < l }

END PARAMETER FILE=========================================


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