Fractal visionaries and enthusiasts:

Today's image is an anti-bifurcation scene in the parent fractal that results when quadratic and order-11 Mandeloids are combined in the FinDivBrot-2 formula.  On the surface this parent is an everyday Mandelbrot set with everyday quadratic features, but in its depths it acquires Z^11 characteristics, with 10-lobed minibrots and all the other order-11 stuff.

The scene is located just off the main spike of the parent M-set, a short distance beyond the large minibrot, in a small quadratic minibrot that has morphed about 4/5 of the way to an order-11 shape.

The name "The Peak" tells that the central point contains not a hidden minibrot, but comes to a flat peak of low iteration.  Instead of period doubling as the peak is approached, the fractal pattern experiences period halving, which is why the scene is one of anti-bifurcation.

The rating of an 8 includes 2 full points for the coloring, which is most of what the image has going for it.  When rendered with a different palette, the entire effect of the image falls apart.

The calculation time of 45 seconds on a 2000mhz machine is a good guesstimate.

A mix of sun and clouds brought an average autumn day to Fractal Central Today.  The temperature of 46F +8C was slightly chilly, but not enough to keep the fractal cats from their watch post on the shelf by the southwest window.  Except for some bickering about unimportant things, the humans had an uneventful day.  The next FOTD will be posted in 24 hours.  Until then, take care, and rational skeptics know that ghosts exist only in the mind; those who have experienced ghosts know that they are real.  One of these certainties must be false, therefore, merely knowing that a fact is true does not make it actually true.

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


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

The_Peak           { ; time=0:00:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip float=y
  center-mag=-1.796068372208084/+0.00000000000489225\
  /4.953129e+012/1.0003 params=11/1e+050/0/0 inside=0
  maxiter=1500 periodicity=6 mathtolerance=0.05/1
  colors=000n5Gk4Fh4Ee4Dc3C`3BY3AW3AT29Q28O27L26I15G\
  15D14A13802501200nocklaij_ghZefXcdVabU__SYYQVWPTUN\
  RSLPQKNNILLGJJFHHDEFBCDAAA8886665443221iXOcSLYOISK\
  FNGCHC9B86543U6aM4SF3J719RpRPmPOkONhNMfMKcKJaJI_IH\
  XHFVFESEDQDCOCBLB9J98G87E76C6494373242iOekNdlNcmNb\
  nNbpMaqM`rM_sM_jMYaMWcOUdQTfSSgUQiWPjYOl_MmaLzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyzzxzzwzzvzzuzz\
  tzzszzrzzqzzpzzozzmzzkzzizzgzzezzczvarr_mmYehWTcUK\
  ZSEUQCPMAKK9FI8AE65B5373131000hfzfczd_zaXzZWzWTzUQ\
  zSMuPKoNJkKGfHEcFD_CCWA9T77L53J213WXbTWZPUULOPHJKC\
  GF8DA79CCNVBLTAKR9IP9HN8GL7EK7DI6CG5AE49C48A369257\
  24512301100000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  000000000000000000000000000000IL0FJ0DG0BD09A068045\
  0220VH0TG0SF0RE0PE0OD0NC0LC0KB0JA0I90G90F80E70C70B\
  60A5094074063052032021010 }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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