Fractal visionaries and enthusiasts:  

Today's image came about when I combined negative (1/Z) with negative (Z) and added (1/C) on each iteration.  This expression has two critical values, +2 and zero.  Both critical values produce similar fractals, which are oriented 180 degrees apart.

Both parent fractals resemble the east parts of Mandelbrot sets with the main bud and spike cut off by flat disks.  Today's scene lies in the chaos along the northern edge of the parent that results when Z is initialized to the critical value of zero by setting real(p4) to -2.

I named the image "Maximum Festivity" because of the riot of overly brilliant colors, which were mostly produced by rendering the image with the 'outside' set to 'tdis'.  In fact, these garish colors hold down the art rating to an unexceptional 7.  The math rates a 7 also, mostly because of the non-zero setting of the real(p4) parameter.

The image takes a solid 2-1/2 minutes to finish, not so bad as fractals go, but even more time can be saved by checking the web sites.

Today brought a mix of clouds and sun, and a temperature of 90F 32C, to Fractal Central.  The fractal cats thought it was a little too warm for comfort, while the fractal humans thought it was just right.  The next FOTD will be posted in a day or two, or possibly three.

Until the next FOTD appears, take care, and don't be misled by conservative deniers of climate change, (aka global warming).  The world-wide weather records show that it is a fact.  And at the same time don't get caught up in the progressive frenzy to pass new legislation in the name of fighting climate change.

Since the climate doesn't obey man-made laws, passing new laws would amount to nothing more than feeling good while satisfying various political and economic agendas.  With our current lack of technology, hedonistic life style, and so many nations developing, there is nothing we would be willing or able to do that would stop or even slow the warm-up.  It would be far better not to economically cripple ourselves and to use our resources to prepare for the challenges of the warmer climate to come.

Jim (Captain Negative) Muth
jimmuth@earthlink.net


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

Maximum_Festivity  { ; time=0:02:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=-0.3041584081700229/+0.1763178398559197\
  /142961/1/-65/0 params=-1/-1/-1/1/0/0/-2/0 float=y
  maxiter=3600 inside=0 outside=tdis periodicity=6
  colors=000UzzH0zM4zS9z_CzeHzjMzrSzxYzzbzzgzzmzzrzz\
  xzzzzzuzzprzjjxebp_UgUM_PHPK9HE1990040000000000000\
  0000000000000100400600900C00C00E00H00K00M00P00S11U\
  44Y64_96bC6bE9eHCgKCjMEmPHpSHrUKuYMxYMz_PzbPzeSzgU\
  zjUzmYzp_zr_zubzxezzezzgzzjzzgzzgzzezzezzbzzbzz_zx\
  _zu_zuYzrYzpUzpUxmSujSrjSpgPjePgeMebMb_K__KYYHUUHS\
  UHMSEKPEHPCEMCCK99K96H00640C94HH6MMCSUHY_KbgUgmamu\
  frzmxzszzzzzuzzpzzgzmYu_UpKKj6Ab00Y00S00M00P00P00S\
  00S00S00U00U00U00Y00Y00Y00_00_00_00b00b00b00e00e00\
  e00g00g00g00j00j00j00m00m00m00p00p00p00r00r00u00u0\
  0u00x00x00x00z00z00z00z00z00z00z00z00z00z01z01z04z\
  04z04z06z06z06z09z09z09z0Cz0Cz0Cz0Kz0Sz1_z9gzHpzKz\
  zMzzPxzPxzSuzSrzUrzUpzYmz_mz_jzbgzbgzeezebzgbzj_zj\
  _xmYxmUxpUxpSxrPxrPuuMuxKuxKuzHuzEuzYrzmrzqrzzzzfr\
  zUpz4pc1pz0KzQ0zmpzmmz0mz0mz0mz0mz0mz0jz0j00z00z00\
  z00z00z00z00z00z00z40z90z }

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, esc=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < esc }

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