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January 29, 2006 Jan. 28 Jan. 31 2006 FOTD Home

jan29

Fractal visionaries and enthusiasts:

There will be no FOTD for January 30.  The next FOTD will be posted on Tuesday, January 31.

Today's image is a Julia set of the Z^(1.3)+C Mandeloid as it appears 34.5 levels up the logarithmic hyperspiral.  The image looks nothing like a proper Julia set however, filled as it is with narrow converging discontinuities terminating in flat circular disks, all this presented against a totally chaotic background.

The corresponding Mandeloid is shaped vaguely like a classic Mandelbrot set that has been rotated 180 degrees.  The point that corresponds to today's Julia set is located in the broad field of chaos on the west that passes for an east valley.

Putting so little work into the image, I could hardly give it a name or rating.

The 6-1/2 minute render time should try the patience of very few.

A near-perfect midwinter day with lots of sun, light winds and a temperature of 63F 17C kept the fractal cats quite happy on Saturday.  They were out of sight in the holly patch for over two hours, but they came dashing in as soon as they heard the rattle of the tuna can.  My day was quite busy, so busy in fact that I will have no time to post a FOTD tomorrow.  The next FOTD will therefore appear in 48 hours, which is two days from now.  Until then, take care, and look patient.

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


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

FOTD_for_29-01-06  { ; time=0:06:32.88--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=JuliaBC passes=1
  center-mag=-0.314019/0.0032451/0.7452187/1/-90/0
  params=1.3/0/34.5/0/-0.75/0.006/0/0 float=y
  maxiter=500 inside=bof61 logmap=yes periodicity=10
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frm:JuliaBC   { ; Formula by Andrew Coppin
  e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
  r=real(p2)-q, C=p3, Z=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|< p4+100 }

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