Fractal visionaries and enthusiasts:  

The story behind the creation of today's image is the same as yesterday's, since today's image is a close-up of the minibrot at the center of yesterday's image, with an appropriate touch-up of the colors.

The magnitude of over 4*(10^12) is as high as the magnification can possibly be stretched at this particular fractal location without the resolution breakdown becoming objectionable.

The name "4-Cornered Minibrot" describes the minibrot at the center, which despite its obvious quintic energies, has only four lobes, an odd situation that is true of almost all positive power Mandeloids.  (Strangely enough, the negative power Mandeloids have one more spike than the generating negative power of Z, while both positive and negative power Julia sets have the same number of elements as the absolute value of the generating power.)

The art rating of an 8 indicates that I put extra effort into the coloring; the math rating of a 7 shows that the math trick still has a little life left in it.

The calculation time of a fireball 30 seconds removes most of the wait for the image to finish.

Cloudy chilly weather made today notably normal here at Fractal Central.  The fractal cats made it through the day doing nothing worth commenting about, which is actual cat reality.  Real cats do not have human adventures like Garfield; they are simply cats.  Meanwhile, the fractal humans spent the day being human, which by human standards can be notably boring.

The next FOTD will be posted in the fourth-dimensional future direction.  Until we travel that 4-D distance, take care, and look for the higher dimensions.  We are told that at least ten dimensions exist but we cannot observe them.

Jim Muth
jimmuth@earthlink.net


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

4-CorneredMinibrot { ; time=0:00:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip
  center-mag=-1.262528676164728/+0.4079109130490521\
  /4.123988e+012/1/34/0 params=5/500000/0/0 float=y
  maxiter=1500 inside=0 logmap=35
  periodicity=6 mathtolerance=0.05/1
  colors=000dKscKqbKoaKm`Kk_KiZKgYKgXKhWJiVIhUFmQDiM\
  CcIBZGAUC9P94M02F01A015A865FP7Jc8Nh9RmAVmBYmK`mK_n\
  KZqK_tU_wUdzUdwUducisciqcnohnmmnkmsmmsomsrmsvmszms\
  zms0rs0vs0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zr0zq0z\
  s0zs0zs0zs0zgczfczfczeczdczcczbczacz`cz_cz_czVcpRm\
  pRmpRmpRmpQcpPcpOcpNcpMmpLmpKmpJmpImhpzhozhozhnzgn\
  zgmzgmzglzflzfkzfkzfkzfjzejzeizeizehzdhzdgzdgzdfzd\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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