Fractal visionaries and enthusiasts: 

NEW FORMULA ALERT!  At least I don't think I've posted it before.

Today's image is the first in a series of distorted Mandelbrot sets.  The distortion is created by applying the 'exp' function to different initial values of 'C'.  Doing this creates the effect of viewing the M-set from the point determined by the value assigned the (p3) parameter.  The farther from this point, the features lie, the smaller they appear.  In today's image the value is +0.255, which places the viewer deep in East Valley and greatly enlarges the surrounding area.

Today's image is its own parent fractal, though due to the nature of the exponential function, there are a multitude of parent fractals.

The name "A Twist of Reason" indicates that there is nothing at all unreasonable about the Mandelbrot distortion.  The same may not be true of the upcoming images however.

The rating of a question mark shows my uncertainty as to the true value of the image.

The calculation time of 10 seconds will simply fly by.  It will take a bit longer to see the finished image on the web sites, but doing so will be more convenient.

Total sun and a temperature of 52F 11C made today a day to be remembered here at Fractal Central.  The next FOTD will be posted in the proper spacetime.  Until whenever and wherever this might be, take care, and have a good time taking it easy.

Jim Muth
jimmuth@earthlink.net


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

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  formulaname=MandelbrotFNC function=exp periodicity=6
  center-mag=-3.39731/3.1415927/0.2989/1/180 inside=0
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frm:MandelbrotFNC {; Jim Muth
b=p1, z=p2, c=p3+fn1(pixel):
z=z^(b)+c,
|z| <= 16 }

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