Fractal visionaries and enthusiasts: 

Today's fancy minibrot lies in the parent fractal that comes about when various portions of Z^(1), Z^(2), Z^(3) and Z^(4) are combined on each iteration when Z has been initialized to the critical point of -2.028...

This parent consists of an obviously critical though distorted Mandelbrot set in the normal orientation, with two large lobes sprouting from its East Valley area, pointing northeast and southeast.  These extra lobes appear definitely non-critical, but they are surrounded by debris strings, which if searched, reveal curious critical areas.  Today's scene lies in a string of this debris near the north end of the northeast lobe.

The art rating of an 8 is mostly due to the coloring.  It did take a bit of time to work up the color palette and apply it to the image.  The math rating of a 7 is average.  Nothing really new appears in the image or formula.

The name "Holey Whole Holes" is admittedly silly, but before fractals were discovered, was the idea itself of so much from so little not considered silly?

The calculation time is a nice even two minutes

Morning clouds gave way to some afternoon sun here at Fractal Central today, while the temperature of 63F 17C kept the proper autumn feel in the air.  The fractal cat would have preferred a bit less autumn.  The humans had an average day, which means busy but uneventful.

The next FOTD will appear, that much is sure.  The exact time of the appearance is the question.  Until the moment of appearance arrives, take care, and from now on, the daily opinion, if any, will appear in the version of the FOTD discussion posted to the official FOTD web site.

Jim Muth
jimmuth@earthlink.net


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

Holey_Whole_Holes  { ; time=0:02:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotMix3a function=ident
  center-mag=+0.6806271408250889/+1.231736508659757/\
  4.5211e+007/1/145/0 params=1/1/0.1/2/0.06/3/0.04/4\
  /-2.028128089682/0 float=y maxiter=1500 inside=0
  logmap=110 periodicity=6
  colors=000QEAOD9MC7KB7I96G75E64C42A318106004002000\
  00tVOqUNoSMlRLiPKgOJdMIbLG_KFXIEVHDSFCQEBNCAKB9IA7\
  F86D75A54743522211ZzzOzzMzzKzwIwsHtoGqlFmiEjfDgcCc\
  `B`YAXV9US8RO7NL6KIKGFcKCmU9sc6zm3zx0zt0zq0zm0zj0z\
  zzzvzzrzzmzzhzzczzZzzUzzPzcKzKFz0Az05z3az2Zu2Wq2Tm\
  2Ri1Od1L`1JW1GR1DM0AI08D058024ZBVWAST9QQ8NO7LL6JI5\
  GG5ED4BA39827514202vW3rU2oS2lQ2iP2fN2cL2`K1YI1VG1R\
  F1OD1LB1IA0F80C60950630310NL0YX`1n`0kZ0hX0fV0cT0aR\
  0ZP0XO0UM0SK0PI0MG0KE0HC0FB0C90A7075053021B2LA1Kc1\
  Jc1Ic1Hc1Gc1Fc1Ec1Dc1Cc1Bc1Ac09c08c07c06c05c04kjxi\
  pxhuxensbgo`akYVgWPcTI_RCWTBXUAXW9XX8YZ7Y_6Ya6Zb5Z\
  d4Ze3_g2_h1_i1_k7alKcmKenKgpKiqKkrUmsUoiUqcWscPucP\
  wcUzcUzcczcczcczcczcczcmzcmzcmzcmzcmzcmzcmzmmzmmzm\
  mzmmzzmzzmzzmzzmzzmzzmzzmzzmzzz8zz6zz5zz4zz3zz2zz1\
  zzPzzhzzfzzdzzbzz`zzZzzXzzVzzUzzSzzQzzOzzMzzKzzIzz\
  GzzFzzDzzBzz9zz7zz5zz3zz1 }

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=========================================