Fractal visionaries and enthusiasts:  

Today's minor fractal diversion is a scene on the X-axis of the fractal that results when 0.1 part of Z^(-4) is combined with Z^2, and straight Z is added on each iteration.

The resulting parent fractal is an oversized but skeletal Mandelbrot set, with today's scene located in a blank area on the phantom X-axis.

With too little time to really work up a good coloring, (that is if any colors could have helped the image), I could rate the scene no higher than a 6.  The name "A Spiked Fractal" refers to the sharply pointed dark areas surrounding the rather large minibrot.

Without doubt, the best feature of the image is its unbelievably fast calculation time of under 5 seconds.  But of course, this does not include the time required to set up and run the parameter file.  The web sites will eliminate the need to run the parameter file however.

Sunny weather and a temperature of 72F 22C made today near ideal here at Fractal Central.  Clouds and a rain shower moved in at 6:00pm, but by then the fine day was in the bag.  The fractal cat and the fractal humans both enjoyed the fine weather while it lasted.

The next FOTD will be posted before too long.  Until whenever that happens, take care, and I hear that some teen-aged girls around town are swooning over the surviving Boston bomber, and even planning to have his picture tattooed on their bodies.  I guess they think he's cute or something, but to me it seems strange to be honoring a 19-year-old man who is almost certainly a mass murdering terrorist.  At the same time, it is also a relief for any worried men, since it appears that such frivolous women will be totally unable to replace men in any significant numbers in the prestigious but formidable high-paying fields of science and technology.

Jim Muth
jimmuth@earthlink.net


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

A_Spiked_Fractal   { ; time=0:00:05.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident
  center-mag=-3.254107804724713/0/5524.303
  params=0.5/2/0.1/-4/0/0/0/0 float=y maxiter=265
  inside=0 logmap=7 symmetry=xaxis periodicity=6
  colors=000SQmUSmWUmYWm`Ymc`mfcmifm005K00000BJFIUHP\
  cJWmL_kIczGfzDjhBmz9i_FeTKaMQYcVUc_QUWNUSJUOGcKCcG\
  9cDDkaJmZPoWVcU`cRfcPhcRjcSkcTmcVnmWpmXqmYkmXemW`m\
  WHmlAmf3m`7mWBmRAmV8mZ6mb5mf3mj2mn9mlGmjNmiTmg_mef\
  mdmmbsmanmcjmefmfjmJjmJjlJjlJjlIjlIjlIjlIjlIklIklI\
  klIklIklHklHkkHkkHkkHkkHkkHkkHkkGkkGlkGlkGlkGlkGlk\
  GlkGljFljFljFljFljFljFljFljFljFmjEmjEmjEmjEmzEmzEm\
  zEmzEmzDmzDmzDmzDmzDmzDmzDnzDnzDnzCnzCnzCnmCnmCnmC\
  nmCnmCnmBnmBnmBnmBomBomBomBomBomAomAomAozAozAozAoz\
  AozAozAoz9oz9pz9pz9pz9pz9pz9pz9pz8pz8pz8pz8pz8pz8p\
  z8pz8pz8nz9lzAkzAizBizAhzBhzBhzBhzChzChzCgzDgzDgzD\
  gzEgzEgzEfzFfzFfzFfzFfzGfzGfzGezHezHezHezIezIezIdz\
  JdzJdzJdzKdzKdzKdzKczLczLczLczMczMczMbzNbzNbzNbzOb\
  zObzOazPazPazPazPazQazQazQ`zR`zR`zR`zS`zS`zS_zT_zT\
  _zT_zU_zU_zU_zUZzVZzVZzVZzWZzWZzWYzXYzXYzXYzYYzYYz\
  YZzZYzYYzYYzYYzYYzYYzYYzY }

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