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August 4, 2013: No Minibrots Here Aug. 2 Aug. 5 2013 FOTD Home
  Rating A-7, M-8

no minibrots here

Fractal visionaries and enthusiasts: 

Today's scene shows what I call a 'hill' of anti-bifurcation situated inside the second bud of the north radical of the large minibrot on the main stem of the tiny parent M-set.  The generating expression adds an infinitesimal amount of Z^(-2.2) to 100 parts of Z^2, producing a tiny Mandelbrot set with left-over debris at the center of the buds.  The fractional part of the exponent has generated a discontinuity in the northeast part of the image.

As the name implies, there are "No Minibrots Here".  At least, I have not yet found any in the area, though similar 'hills' abound.

The artistic rating of a 7 indicates average worth, while the math rating of an 8 indicates exceptional mathematical value.  In fact, the 'hill' is one of the finest I have yet stumbled upon.

The calculation time of 1-1/2 minutes is fast enough to keep impatience at bay.  And the finished image is always available on the FOTD web sites.

Near perfect midsummer weather prevailed here at Fractal Central today, with photoshop blue skies, cotton-candy clouds and a temperature of 77F 25C.  The fractal cat enjoyed the conditions while sleeping in the laundry basket.  The fractal humans enjoyed the fractal cat enjoying the conditions while sleeping in the laundry basket.

The next FOTD will be posted when I find it and write about it.  Until that glorious moment arrives, take care, and show the world that your pet conspiracy theory is true.

Jim Muth
jimmuth@earthlink.net


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

No_Minibrots_Here  { ; time=0:01:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=-0.01757933078094727/+0.000158504568805\
  81/1804502/1/75/0 params=100/2/1e-016/-2.2/0/0/0/0
  float=y maxiter=1000 inside=0
  periodicity=6 mathtolerance=0.05/1
  colors=000AmNDPDf97c86a76Z66X55U45S45P35N24K14I04Y\
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  LV9AH0Fz1Em2Dc3CW4BU5AS69P78N87L96JA5HB4EC3CD2AE18\
  F06TP2SN3RL3QJ3PH3OG3NE3MC3LA4K84J74I54H34G14o7Gk6\
  Eg5Dd4C`4BY3AU28Q27N16J05BeMzXhpQ_gJSYDKP6CQu7Pr6P\
  o6Ol6Oi6Ng6Nd6Ma6MZ5LX5LU5KR5KO5JM5JJ5IG4ID4HB4H84\
  G54G24fyKdvJcsIbqIanH65G63H61H74I86J98K9ALACMBENCG\
  OCIPDLQENRFPSFRTGTUHVVIXWIZWPROVJGaB8g31Mdf61qL`bL\
  Y_KUXKRUJNQJKNIHKIDHHADH6AG37C5`D4YD4WD4UD3SE3QE3O\
  E2ME2KF2IF1GF1EF1CG0AG08G06Y6hX5eW5cV5aU4ZT4XS4VR3\
  TQ3QP3OO2MN2JM2HL1FK1DJ1AI08H06S7bR6`Q6ZQ5XP5WP5UO\
  4SN4QN4PM3NM3LL3JK2IK2GJ2EJ1CI1BH19H07G05WxIUsHToG\
  SkFRgEQcDP_COWBNSAMO9LK8KG7JC6I85H446jP8`KASGCICE9\
  8rcimZchUZcPUZKPUFJPAEK59 }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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