Fractal of the Day
by Jim Muth

Kaleidoscope View ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- March 06, 2007   (No Rating)

Fractal visionaries and enthusiasts:

The big rush continues here at Fractal Central, but despite having so little spare time, I did manage to find a fractal.   Unfortunately, with almost no effort put into the image, I could not give it a rating.

The parent fractal, a rather distorted M-set, came about when, on a whim, I added the tiniest bit of Z^(-5) to Z.   I named the scene I found within this parent fractal "Kaleidoscope View".   These simple devices gave me many hours of pleasure when I was in my wonder years.   (I now wonder where those years went.)

The included parameter file runs in under 3 minutes.   The image itself downloads even faster from the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

A bitterly cold late winter day here at Fractal Central on Tuesday, with a high temperature of 21F -6C, held outside activity to a minimum.   But the cold caused no problems for man or cats, since all the activity was indoors.   The next FOTD will appear as soon as I can get to it, most likely in a day or two.   Until then, take care and stop for a rest when needed.


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

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

Kaleidoscope_View  { ; time=0:03:29.93--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident inside=0
  center-mag=-0.87048422299742320/+0.335966934364507\
  80/7e+012/1/73.5/0 params=1/1/0.05/-5/0/0 float=y
  maxiter=750 periodicity=10 mathtolerance=0.05/1
  logmap=108
  colors=000931PFFJFGOLNO_YRVWDZ3HWALUHPSO4KmBPmHHVN\
  ZmKGVivEdnI`fMXZQRVkSEeTK_dc0cKKtNamzzQfg6ZmzzzJab\
  hjlddg`_bXVYUBz1uhzm3zZCcNLVsEUiKT_PGzzLmmPXczjoLO\
  KO_ORSRkgmaZc2M5GOIaDvZHnXKgVN`sVIjTMaRQ5vlHebpDe5\
  eNqVqjTkdSeZR_xZutm7LQjOQdRQZjuuaegh5C`GLFzoJpiMgd\
  QZZb3rJXLL2iN8ePEaRKYYj3MpcNnjNEdQKZzRniQcw0rgDeiM\
  TmBxCDceDFzGJnKNcNRsVSeST2RcBQ_KQXXq5VcIXSZ9FVGJUN\
  NUYzCBWMG7jNHa4K1DMBLOLkg0daAZWKkEPZ3aWFY7nMDgOIaQ\
  OWScenYYckzudmkZabA2s_Q1YQ9WQGUQNsfJu1o1DGFKNNjjPc\
  dRXZu_6mXCfVI_SO6D3XpDZjJ`eOb_UcVZYTZSSZMQZHPZDkqO\
  l9SjLVhWYff`dqZ`kXXeHrSVT_iUXdTW`SVXRU4YUBWUHUUNSU\
  2rdBh`KZXk6zM1`j`peYjaVdXSZ6cfwQJgQPe1Tah`ZaYWWWfL\
  6bNC_OIWPOL0izpangZcZWsCujHkaMb8JWELVJNVOPUPQeRQaS\
  QYU`FTYJTVNTSRVDQ2JAkksa`fqZ9jWFdUKZSPyAyhIi0xpAlh\
  K``23NBBQKJSKYXK4fNAbPF_RLX`4dZAaXFZVLWneFhaJcYNYU\
  RWEuVHnUKgTN`pvajm_deYZYW }

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 PARAMETER FILE=========================================


Want to view, create, or know more about fractals?

Go to my Fractal Links webpage, and
to the renowned Fractal Census.

Plus, to my hostings of:
O's Fractal Art Gallery

Go to my Fractal Pages on this site, or
to my latest web site for Fractals.

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