Fractal of the Day
by Jim Muth

A Tangle of Points ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- May 20, 2004   (Rating 3)

Fractal visionaries and enthusiasts:

I have another very busy day ahead of me, so I must again be brief.

Today brings another 'nothing' fractal, worth only a lowly 3.   The low rating reflects the disappointment I feel with it.   I have named the image "A Tangle of Points" because it reminds me of a tangle of vines.   It is part of the larger fractal that is created when portions of Z^(-0.8) and Z^(-7.5) are combined and (1/C) is added.

The image has been 'evaporated', and therefore consists totally of 'inside' points made visible by the 'bof61' inside fill.   Other fills might have done better, but I had no chance to try them.

The rating of 3 and render time of 7 minutes combine into an overall value of 41.   All this becomes meaningless when the completed image is downloaded from the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

Clouds hung tough all day Wednesday here at Fractal Central.   Combined with occasional light rain and a temperature of 82F 28C, the lack of sun kept the fractal cats safely ensconced indoors.   They were only mildly annoyed however, and spent the afternoon sleeping by the window.   Today is again starting cloudy, but at least it is dry.   The cats are still sleeping.   It is too early to predict what kind of day they will have.

As usual, I have a lot of work to do.   Unless the unexpected happens, the next FOTD will appear here in 24 hours.   Until then, take care, and where is the world going, other than around the sun?


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


START 20.0 PAR-FORMULA FILE================================

A_Tangle_of_Points { ; time=0:07:17.42--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+15.30615106164459000/+1.23468727139517\
  000/5.37212e+009/1/157.5/-0.00641920475950448488
  params=1/-0.8/0.2/-7.5/0/1e+100 float=y
  maxiter=750 inside=bof61 periodicity=10
  colors=000r_IvbYydmwcjvbgtbesabq``p`Yn_Wm_TlZQjYOi\
  YLgXJfWGdWEcVBbV9_REXOIULMRIQOEULBYI8aF5eEAbEF`EJZ\
  EOXETVEXTEaREfPEjNEoLEtJExH7vZ0tp4sf8rYCqPGqGQ0YT0\
  ZV0_Y0``0ab0be0cg0dj0el0fo0gq0go3cm5`k7Yi9VgBSeDPc\
  FMgBTj7_n3fq0mm6kjBjfHhcMg`SeXXdUbbRgaNm_KrZHwY9va\
  2vd6rd9ndCjdFfdJbdMZdPWdSSdVOdZKdaGddCdg8dj5dh9cgD\
  cfHceLcdPccTbbXba_b`cb_gbZkaYoaXsaWwaVzahzLuz4sx6r\
  w7qu8ot9nrAmqBgjJbcRYYZSRfNKnIEuPNlVVdUU`TTXSSUSRQ\
  RQNQPJPOGPNCOM9NL5NL2SSDWZN_eXY`TWWQURNSMKQHHOCEM8\
  BKGEIOGGWIEcKCkMAsO8zQDvPIrONnNSkMXgLacKf_JjXJX_UJ\
  bd5do6ap6_q6Yr7Wr7Us7St8Qt8Ou8Lv9Jv9Hw9FxADxAByA9z\
  A7z9Hl8RZ7`L6j78g6Ae5Bb5D`4EY4GW3HT3JR2KO2MM1NK1PJ\
  5QJ8RJBSJFUIIVILWIPXISZHV_HZ`HaaHd_GfZFgYFhWEiVEjU\
  DlTDmRCnQCoPBpOBrMAsLAtK9uJ9v_LAZG8ZB6_E5_G5_J4`L4\
  `N4`Q3aS3aV2aX2bZ2ba1bc1cf0ch0cj0ek1gk1ik2jk2lk2nk\
  3ok3qk4sk4tk4rg3qc3o_2nX2 }

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 20.0 PAR-FORMULA FILE==================================


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