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Sept. 16, 2013: Mystical Minibrot Sept. 15 Sept. 17 2013 FOTD Home
  Rating A-9, M-7

mystical minibrot

Fractal visionaries and enthusiasts: 

Today's image of a fancy minibrot lies in the parent fractal that results when 4 parts of straight Z, 3 parts of Z^2, 2 parts of Z^3, and 1 part of Z^4 are mixed together before C is added on each iteration.  This combination has a convenient critical value of -1, which produces a parent fractal of a basic classic Mandelbrot set surrounded by a field of disconnected dots, with each dot containing an entire fractal universe.

Today's image lies in a string in a dot near the tip of the main spike of the parent M-set.  Its artistic worth of 9 is mostly due to my extra work.  The math rating of a 7 is about FOTD average.

The name "Mystical Minibrot" might be an exaggeration, but then again, maybe not.  After all, every fractal is kind of mystical, since we never know the details of what they might hold until we actually go there and look.

Today's image calculates in a speedy one minute, leaving ample time for any tasks that might be more pressing and need to be done.

The day began with a brief shower here at Fractal Central.  When the shower ended the clouds remained however, and the rest of the day was cloudy with a temperature of 70F 21C and only a few brief bursts of sun.  The fractal cat, now nearing senior cat status, slept through most of the non-excitement, while the fractal humans watched the news of the latest shooting.

The next FOTD will definitely be posted within a reasonable time.  Its rating is yet to be determined.  Until the fractal appears, take care, and we must pass some laws to end these outrageous shootings.  Let's pass a law prohibiting the anger that causes a shooter go out and kill innocent people to avenge a perceived wrong that was done to him.

Jim (both left and right) Muth
jimmuth@earthlink.net


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

Mystical_Minibrot  { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotMix3a function=ident passes=1
  center-mag=+0.44089178013265180/+0.000008999523773\
  35/2.5e+012/1/-158.25/0 params=4/1/3/2/2/3/1/4/-1/0
  float=y maxiter=750 inside=0 logmap=54
  periodicity=6 mathtolerance=0.05/1
  colors=00000D00H00K00P00W00_00c00g00l00p00z08z0Fz0\
  Lz0Sz0Uz5WzAYzF_zKazPczUezUhzUkzUnzUqzUtzfwzpzzzzz\
  zjxzcvzZtzRozOiyJcxGYwCSvALuCCuE0uG0qH8kJGfLN_NYVP\
  ePSmJUxEWz8WzGUzNUzUSzaSzgSxoPtxPozNmzNizNgS00U00W\
  00Y00_00a00a00c00e00g00i00k00k00e00_00U00N06H0CC0H\
  80N20W00a00g00m00t00z00z00x00q00i00c00Y04P2AJ6GECL\
  6GU0J_0Pe0Uk0Yq0_o0ao0co4eoEgoNioYkogggicai_UkWNkS\
  GmPAmL2mH0oE0oA0q60q40q40o40m20m20k0ao2am4ak8aiAae\
  EacG_aJ__L_YP_US_SW_PYYNaYLcYJgYGiYEmYCoYAtW8vW4zW\
  2zW0zW0zW0zW0zU0zS0m00m00m00m04m0Am0Hm0Nm0Um0am0gm\
  0mm0vm0zm0zmYzzxxzocz_JzH0v20t80tC0tG0qJ6qNCqSHoWN\
  o_Uoc_keYgeYceW_eWWgUSgUNgUJgSGiSziPziPziPzmUzoWzt\
  _zvazvezxgzxkzzmzzqzztzzxzzzzzzzztzzmzzgzzazzWzzPz\
  xHzvCzv6zt0zq0zo0zo0z_0zC0z00z00z00z02z0Cz0Lz0Wz0e\
  z0ozmzzmmzmczmUzmJzkAzz0zvEzzSzzezztzzzzzzzzzzzzzz\
  vzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandelbrotMix3a {; Jim Muth
z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1),
d=real(p2), f=imag(p2), g=real(p3), h=imag(p3),
j=real(p4), k=imag(p4), l=imag(p5)+100:
z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c,
|z| <=l }

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