Fractal of the Day
by Jim Muth
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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: 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=========================================
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times.