Fractal of the Day
by Jim Muth

FOTD for 05-07-06 ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- July 05, 2006   (Rating 7)

Fractal visionaries and enthusiasts:

Today's image rates a 7 -- not bad for only the third fractal after the resumption of the daily FOTD schedule.   I have not yet decided to resume naming the FOTD fractals, so fractal fans will have to be make do with the date as a name.   Their dis-satisfaction should not be too great.   One picture is said to be worth a thousand words, which means that one evaporated fractal should be worth at least ten words.

Today's fractal is indeed an evaporated one, which means that all the escaping 'outside' parts have vanished, leaving only trapped 'inside' stuff.   But as today's image shows, trapped 'inside' stuff can be made quite interesting.

Today's all-inside scene was brought to life by rendering it with the inside option set to 'bof61', by far the best inside option to use with evaporated fractals.

The parent fractal was created by combining various portions of Z^(-1.5) and Z^(-11.5) before adding (1/C).

The render time of just under 8 minutes is marginally slow, but the wait may be avoided by downloading the completed GIF image from the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

Cloudy, warm and muggy weather, with a temperature of 84F 29C, accompanied by intermittent showers made conditions less than ideal for the big Independence Day fireworks displays here at New Fractal Central.   The noise of the illegal firecrackers kept the fractal cats hiding under the bed for most of the day.   They were reluctant to come out even when they heard the can of tuna open, but hunger eventually won out, and they cautiously reappeared to ask for their treats.

But despite the minor annoyances, my day was enjoyably relaxing.   I actually found a couple hours with nothing to do but watch the shuttle launch on the NASA TV channel.   Too bad I'll never have the chance to go into space, but neither will 99.99999..... percent of the other people on earth.

Seeing so much energy expended for such a small result makes me glad that fractals consume almost no energy.   The next FOTD will likely appear in 24 hours, until then, take care, and let's send fractals into space instead of people.   Fractals weigh nothing; think of the energy It would save.


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

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

FOTD_for_05-07-06  { ; time=0:07:53.18--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+2.94455032376392700/+0.986511361200300\
  10/2.119103e+008/1/52.5/0.000212990910537419476
  params=2.5/-1.5/0.25/-11.5/0/1e+100 float=y
  maxiter=1000 inside=bof61 periodicity=10
  colors=000HarBgv0007nv8nr9nnAnkCogDocEo_FoXIbcLRiO\
  EoR2uNCtKMsGWrDeqAnpCjjDgeEd`G`VHYQIVLJSGOXJTaMYfO\
  bjRgoTltWpxY0QsASnKTiUUdcV_mWWgaYafZXk_Rp`MuaPrXSo\
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  V`VZTmYVjYXhYZfY`dYbbYd`YfZiTPgWReYSc`TabV_eWVj_00\
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  XG9YCoYSefandcjbdf`ecZf_p1Wh9XdGX`NXWUXS`Xzs0XmzXl\
  zXxzYzzYhXzm0fcXddXceXamz`fXZgXF9RIESckfjfxYXgLNSM\
  MSMMSNLSNLSNLSSMUXNVaOXePYjQ_oR`sSarUfqWkqXppZup_z\
  lauicqfdlcfh`hcYi_d8A000`QMZZSIC7KGBKEZ61lLL__dNmx\
  AljGlYMkLSk8YdEbZKfTQjNWn }

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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