Fractal of the Day
by Jim Muth

Iterative Amusement ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- February 15, 2005   (Rating 9)

Fractal visionaries and enthusiasts:

To add a bit of variety to today's adventure, I changed the portions of Z in the parent fractal that I have been exploring for a week.   Instead of positive portions, we now have negative portions.   This change creates an even more interesting fractal.

Yesterday's image turned out so well that I tried the same partial-evaporation trick again today.   I rendered the scene with the inside set to 'bof61' and the outside set to 'tdis'.   The resulting image rates another 9.

I found today's scene in a part of the parent fractal shaped like a fan.   There are many more unusual features in this new parent fractal, which I will be exploring for a few more days before moving on to something entirely new.

Much of the purpose of fractals is simply amusement.   This is the reason I named today's image "Iterative Amusement".   The relatively fast render time of 3-1/2 minutes makes the image that much more amusing.   The image may be seen in even less time by downloading it from the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

It rained all day Monday here at Fractal Central, keeping the fractal cats safely confined to their indoor shelf by the window.   They had one thrilling moment when a squirrel carelessly climbed onto the ledge outside the glass, and they both sprang to the attack.   When the squirrel saw two cats eyeing him, he took off like a bat out of you-know-where.   Today is starting cloudy, but it is milder, and promises to be far more pleasant, both for the squirrel and the dynamic duo.

For me, it will be a satisfactory day if I end it with no work piled up.   The philosophy is still a couple days off, but the next FOTD will appear in 24 hours.   Until then, take care, and think kindly of your amusing fractals.


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

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

IterativeAmusement { ; time=0:03:25.05--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+2.00805949912494/+1.2384635446208/1621\
  5.65/1/165/2.53985141251966695e-009 maxiter=1000
  float=y params=-5/-1.26/-0.5/-12.6/0/1000000000
  inside=bof61 outside=tdis periodicity=10
  colors=000t4gr5fp5dn6cl7aj8`i8Zg9XeAWcBUaBT_CRYDQW\
  EOVENTKXRQeQVnPUkPTiOTfOSdORbNR_NQYNPWMPTMORMOPLMN\
  KKLJIJIHIHFGGDEGCDFABE89D78C56B34B23C54D74E94GC4GE\
  4IG4KI4NL4PN4RP4TR4WU4YW4_Y4`_4bb4cd4df4dh42Gx3Iv4\
  Jt5Ks6Lq6Mp7Nn8Ol9Pk9QiARhBSfCUdDVcDWaEX`FYZGZXG_W\
  H`UIaTJbRJcQNaUQ`YT_aXZe_XhbWlfVpiUtlTwkUxjVxiWxhX\
  xgYxfYxeZxd_xc`xbaxabx`bx_cxZdxYexXfxWgxVgxUhxTixS\
  jxRkxQlxQlxThwWdwZ`waYwdUwfQviMvlJvoFvrBvt8vsBtrEs\
  qHrpKqpNpoQonTnmWmlZll`kkcjjfiiihhlghofgrefudexcez\
  bcxaawa`uaZtaYr`Wq`Vo`Tn`Rl_Qk_Oi_Nh_LfZKeZIcZHbZI\
  aYJaXKaWLaVMaUN`TO`SP`RQ`QR`PS`OT_NU_MV_LW_KX_JYZI\
  ZZH_ZG`ZFaZEbZE__HY`KWaNTbQRcTPkzNlwKlyImzGmzEnxBn\
  w9nv7mu5lt8krAjqDioFhnHglKfkMeiPdhRcfTbeWacY`b__a`\
  ZZ`YX`YV`_T``Q`bO`cM`eK`gH`hF`jD`kB`m8`n6`p4`q2dp5\
  go8joBnnDqnGtmJwmLukMtjMsiMrhMpgMofNneNmdNkcNjbNi`\
  Oh_OfZOeYOdXOr2hu2jx2kv3i }

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,
or to the renowned Fractal Census

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