Fractal of the Day
by Jim Muth

In a Secret Garden ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- March 21, 2008   (Rating 5.5)

Fractal visionaries and enthusiasts:

Today's image rates only a 5.5, but that's how it goes when I have no time to work on the coloring, which turned out quite a bit too purplish for my taste.   The name "In a Secret Garden" sounds more like the title of a cheap bodice-busting romance novel than the name of a fractal.

The image lies near the negative X-axis of the parent fractal that results when 0.5 part of Z3 is combined with Z1.5 and C is added.   To try to make something from nothing, the image was rendered with the inside set to 'fmod'.   The result is hardly worth the 8 minutes required to run the included parameter file.   I recommend viewing the finished image on the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
where it is or soon will be posted for instant viewing.

The first day of spring turned out rather blustery and chilly here at Fractal Central, with more clouds than sun and a temperature of only 39F 4C.   The local cats took advantage of the few minutes of sun, and stayed by the heat the rest of the time.

Due to the upcoming holiday, my day was unusually and unexpectedly busy.   But holiday, holy day, or not, the next FOTD will be made public in 24 hours.   Until then, take care, and what's it all about anyway?


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

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

In_a_Secret_Garden { ; time=0:08:03.67-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  params=1/1.5/0.5/3/0/0/0/0 inside=fmod maxiter=5000
  center-mag=-0.30956628123146/+0.03096772886562/202\
  890.6/1/7.5/0 float=y proximity=0.7 periodicity=10
  colors=000poplPUdWYYcaQjeIriBymGroLlpQfqU`rS_mR_hQ\
  _cP_ZO_UN_PM_KPYORXSUWVWVZZUb`TebNicImdCqe7uf2yd7o\
  bCf`GYZLPXPGRUOMZVHbaCgi7lp2pwAauINs6jYamUboObqIbs\
  Dbu7bv2_nBXgJVaGTWERRBPL9NF6LA4OH5RO6UU6X`7_g8bj8e\
  k9gh9daJaST_JaXIYUJVRPRPUOP_KUdHZjDcoAhpFmqJrrOvrS\
  zsXvt`mtdcmaXg_Q`XLVVGPTEIQCCOB6MGCPLHSQMVURXWOYYL\
  Z_I_aG`cDaeAbg8cbDeZHfULhQPiTQgWQeYQd`QbbQaeQ_gQZk\
  YYndYqkXtrXNScMO0GV6BaC6hI1oN6mJAkFEiBIg7Id8Ia9JYA\
  JVBKRCvh2ll3bo4Us5Kv6By6HsJNnVThgYcsP_hHWZ9SO1PE5c\
  R8rcFshMtlTuq_vuewydvpdugduZctQcsHcs9Q`PDIdrIYo_Yl\
  qXem_ZicSdgL`jEXn7SrMRr`PrpNqmNrjOsgPtdQuaRvZSwZ9n\
  _Cj`FfaHcaK_bMXcPTcRQi_LnhGtqByz6oqAeiDWaHMUKDMNGQ\
  QIUSLXUN`WQdZSg`VkbXndUheRbfOXgLRgNSfOTePUdQVcRVbK\
  ShEQn7Nt1Lz5Pt8TnBXiE`cHdYKhTNlNQpILfFGXCBN97D7FD7\
  OD6XD5dD5mD4lZviUqfQmcMi`IeYEa`AYeJUlOKoVBu_2rX9nT\
  GkPM000dF_aKedMhgOjjSjhRj }

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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