Fractal of the Day
by Jim Muth

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


Classic FOTD -- April 07, 2001   (Rating 6)

Fractal visionaries and enthusiasts:

Another unexpectedly busy day kept the fractals at bay, but I still managed to scrounge up today's slightly striking image.   I first found it, then went off to do other things while the image rendered.   When I returned and saw the screen, I thought of dimples.   The name "Fractal Dimples" came naturally.

The image is yet another 6-rated one found in haste.   Unfortunately, the haste vanishes when the parameter file starts running, since this one takes over 1-1/2 hours to render.

The formula that drew the image, 0.5(Z^2)+Z^(-2)+(1/C), is once again one that I pecked out at random.   Since the parameter file is quite slow, my advice is to give Paul and Scott an hour or so to render and post the GIF image to their Web sites, and download it from there.   The URL of Paul's site is:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
Scott's site is at:
http://home.swbell.net/sdboyd56/fotd/

The fractal weather today was mostly cloudy with light rain and a temperature of 55F (13C).   The cats disapproved vigorously by staying indoors and sulking most of the afternoon.

There was no time for philosophy today.   Perhaps it will appear tomorrow.   But even if the philosophy is absent, a new and unique fractal will appear in the next FOTD.   Until then, take care, and wait until you see that fractal!


Jim Muth
jamth@mindspring.com


START 20.0 PAR-FORMULA FILE================================

Fractal_Dimples    { ; time=1:33:02.89--SF5 on a P200
  reset=2001 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-13.91207242091377000/+18.4986369015475\
  7000/11315.38/1/165 params=0.5/2/1/-2/0/0 float=y
  maxiter=25000 inside=0 logmap=420 periodicity=0
  colors=000e8me7me7mf7nf7nf6nf6of6of6og4nf5of6of7of\
  8of9ofAofBofCoeDpeEpeFpeGpeHpeIpeJpeKpdLqdMqdNqdOq\
  dPqdQqdRqdSqcTrcUrcVrcWrcXrcYrcZrc_rb`sbasbbsbcsbd\
  sbesbfsbgsahtaitajtaktaltamtantaou`pv`qv`rv`sv`tw`\
  uw`vw`wxayy`xz`wz`wz_vz_uy_uxZtwZsuZssYrqYqoYqlXpk\
  XpjXoiWniWnhWmgVlfVleVkdUjcUjcUibThaTh`Tg_TgZSfYSe\
  XSeXRdWRcVRcUQbTQaSQaRP`RP_QP_POZOOZNOYMNXLNXKNWKM\
  VJMVIMUHLTGLTFLSELSEKUFJVFIXFHYFGZFF`FFaFEbFDdFCeF\
  BfGAhG9iG9jG8lG7mG6nG5pG4qG3sF4rG5qG6pG7oG7nG8mG9l\
  GAkGAjGBiGChGDgGDfGEeGFdGGcGHbGHaGI`GJ_GKZGKYGLXGM\
  WGNUGNSGQQGSOGUNGUMGULGUKJUHIUDIU6IU3HU3HU3HU3HU3G\
  U3GU3GU3GU3FU3FU3FU3FU3EU3EU3EU3EV3DW3DX3DY3DZ3C_3\
  C`3Ca3Cb3Bc3Bd3Be3Bf3Ag3Ah3Ai3Aj59k59l59m37n48o59p\
  5Aq6Br5Cs5Ct6Du6Ev7Fw8Gx8Hy9HzDIzEJzFKzFLzGMzGMzHN\
  zIOzJPzKQzKRzLRzMSzMTzNUzNVzOWzPWzPXzQYzQZzR_zT`zV\
  azXbzZcz`ezbfzdgzfhzhizjj
  }

frm:MandelbrotMix4 {; 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,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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