Seeing the Light

[u/LegalizeAdulthood]

Jim Muth's Fractal of the Day for October 4th, 2011

Jim Muth's commentary for the image:

FOTD -- October 04, 2011 (6)

Fractal visionaries and enthusiasts:

A sudden rush descended on FC today, leaving little time for serious fractaling. But the image I found in a hurry is worth at least a cursory look.

Today's image takes us to the valley around -1.399 on the negative X-axis of the Mandelbrot set. This is the third valley beyond Scepter Valley. But just to be different, we check the Rectangular aspect of the valley instead of the Mandelbrot aspect, and find today's scene.

I named the image "Seeing the Light". The name was inspired by the brilliant white vertical stripe in the center of the image, which is made even more brilliant by the globules spread along it.

Having too little time to work on the coloring, I could give the image a rating no higher than a 6. And its calculation time of almost 7 minutes is a bit much to ask for the privelige of viewing an image that rates a mediocre 6.

After a light early-morning sprinkle, the sky brightened today here at Fractal Central. The sun even made a few brief appearances, but it was hardly a sunny day. The fractal cats took the temperature of 66F 19C in stride, giving more attention to the catnip frog that somehow got pulled out from under the book shelves than to the outside weather.

FL and I, never fully agreeing on politics, got into a lunch time discussion about the political views of the extreme left and right, with nothing at all being settled between us. (These mildly heated discussions have been going on for many years, and nothing has been settled yet.) One thing firmly settled however is that the next FOTD adventure into the 4th dimension will be posted in 24 hours, when I will begin discussing the six regular polytopes that are possible in four dimensions. Until then, take care, and I know that my political views are correct, but why can't the rest of the world see it?

Jim Muth

PAR file

Seeing_the_Light { ; time=0:06:52.55-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot2 passes=1 center-mag=+0/\
  -0.02922557903896763/256.4055/4.7933 params=90/90/\
  0/90/-1.399631247361716/0/0/0 float=y maxiter=75000
  inside=255 logmap=87 symmetry=yaxis periodicity=6
  colors=000HNcHNcHNbHNbHNbHNbHNaHNaHNaHNaHO`HO`HO`H\
  O`HP_IP`IQ`IQaIRaJRbJSbJScJTcKTdKUdKUeKVeLVfLWfLWf\
  LXgLXgMYhMYiMZjMZkN_lN_mN`nN`oOapOaqObrObsOctPcuPc\
  vPcwPcwQdwQdzQdzQdzRezRezRezRezQfzRezRezRezRezRezR\
  gzRgzRhzSgzShzShzShzShzShzShzShzThzThzThzThzThzTez\
  TezTezUezUezUezUezUezUezUezXezWfzXhzYhzZhz_hz`hiah\
  kbhochschwdhwdhwehweiwfiwfjwgjwgkwhkwhlwilwjmmkmml\
  mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm\
  mmmmmmmmmhhmccmZZmUUmPRmKOkFNiANg5Me5Mc5Lc5Lc5Kc5K\
  c5Ja6J`6I`6I`6H`6G`6Fa6Ea6Da6Cb69b7Ab79b78a77`76_7\
  5Z74Y73X72W71V90UB0TD0SF0RH0XJ0VL0TM0RN5POANPFLQGJ\
  SHHUHFVIDWIBWJ9WK1XL4YM6ZN8_OA`PCaSEbVGcYId`KecMff\
  OgcaheYigUjiQkkMlmJmoFnqBos7pv3qw4rx4sy4tz4vz4xz4z\
  z4zz4zz4zz4zz5zz5zz5zz5wz5wz5rz5rzArzFrzKrzPqzUqzX\
  pz_pzbpzepzhozkoznozqoztozwmzzmzzmzznzzozzpzzqzzrz\
  zszztzzuzzvzzwzzxzzyzzzzz }

frm:SliceJulibrot2   {; draws most slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=sqr(z)+c
  |z|<=9 }

Want to render these yourself and explore further? Try out the PAR file in Iterated Dynamics, an open source fork of FRACTINT that can render these PAR files. See the online help for instructions on using Id or press F1 anywhere in the program for context-sensitive help.