Fractal of the Day
by Jim Muth

Square Root of 2-4 ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- September 26, 2005   (Rating 5)

Fractal visionaries and enthusiasts:

Today's fourth venture into the world of the square root of 2 did not turn out as well as I had hoped.   I could give the image a rating no higher than a 5.   But a rating of a 5 is average, and an average fractal is always worth a look.   I will search the +4321 parent fractal one more time before moving on to other levels.   I am still confident that it holds some better scenes than the two I have found so far.

Today's scene lies in a 5-pointed star near the tip of a filament extending from the third largest bud of the main bay of the parent, which is located on the eastern shoreline.   The overly gaudy coloring makes the image look more like a wild carnival decoration than a dignified fractal, but the render time of 3 minutes is brief enough to keep computer time and inconvenience to a minimum.

The finished image is available on the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

Lots of clouds and a temperature of 77F 25C kept the cats contented on Sunday here at Fractal Central.   Today is starting cloudy with showers in the forecast.   But no rain has fallen yet, so maybe things will turn out not so bad for the duo.   For me the work is average.   The next FOTD will appear in 24 hours.   Until then, take care, and why is it that we never know what Nostradamus predicted until after the event happens.


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

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

Square_Root_of_2-4 { ; time=0:03:05.76--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1 periodicity=10
  center-mag=+1.23304309865560900/+0.079861728742448\
  12/2328363/1/90/3.88578058618804789e-016 inside=0
  params=1.414213562373/0/4321/0 float=y maxiter=1500
  colors=000IhYMiSQjMiXMSml9zuIxuPvuWrubouimuYsuLxu6\
  zu0zu9zuPzubzuozukzuizujzujzujtujnujfuj_rjTpjMnY4p\
  G4W048MCKePUx_czjkzflzclzalzXnzUnzSnzXqzauzeuziuzm\
  uzpuyluvhqsbhpZ`nTSjPHhI6eD6WT6MfCDrJ0zP0zV0zd0ln0\
  Wu4UrEUqOTpWTndSlkSksSjrAFoKKnSOlZRkeUimWhsZfyaezd\
  iyZktVnoPpjKscFuZ8`T6iN6xT6uX6sa6pe6j_6dW6YS6SN6QK\
  6NJ6KI6GH6AIJEXWOjhVwtz4cz4Wz4Pi8PLMPYWJheErm6zv6z\
  z6zx8vtJpoSilcakpVfzMezEdzG`yJZxLWwMUvPQuQQmTPhVPc\
  YNUZNK_MAoMnjAde4WiCOp6Pv4Pz4Pz4PzCMpQJhbFYmEOxABz\
  60z6VTjaPofMrkHurDuv8uz4uz4uzHuzUuyfuvrotzjnzkhxka\
  vlVslOplGnn8ln0jn8ogDtaIyWMzRQzKVzEQzCOzCLzAGzADz8\
  9z8Iw6Pb6WF6TPAQXJOeRLlWTccaWjhNpoDuu4unKufZuZluQx\
  uIzuJzrJykJtcJnVJiMJcCJZ6LU6MS8OPCOMEPHFQDJSAKS6Ma\
  IajSos_uzhupWuhKuZ6ul8uzAuzAtz_czvKzz6zz6zz6uz6pz6\
  lz6Qb604A0bF0zJ0yU9scImlQftY_udTujMueWu_euVnuPwqJz\
  kZw8VsFQpMMmSIjYDfc8chDfc }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*floor(p/(2*PI))
  r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z) > r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z| < a }

END PARAMETER FILE=========================================


Want to view, create, or know more about fractals?
Go to my Fractal Links webpage,
or to the renowned Fractal Census

Go to Paul's Fractal pages or Home Page.

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