Fractal visionaries and enthusiasts:  

Today's image lies in the parent fractal that results when 0.19 negative parts of Z^3 are combined with 0.9 negative parts of Z^2 before C is added on each iteration.  This parent appears as a Mandelbrot set with extra features along the positive and negative X-axis.  Today's scene lies on the southern shore line of one of the extra features just east of East Valley.

The name "Terraces Without End" refers to the terraced effect created by the 'tdis' outside option.  The artistic worth of a 7 might be a little inflated, since we have been here often in the past.  The math rating of a 6 seems about right.  Even though the math trick is old stuff, it still strikes me as interesting.

The calculation time of 3-1/4 minutes borders on slowness.  I guess that most fractals seem slow to some degree.  But the web sites can bypass any trace of slowness.

With a high temperature of 64F 18C and partly cloudy skies, today was the most spring-like of the year so far.  The fractal cats enjoyed the sun while it was shining and asked for food when the clouds moved in.  The humans conquered another computer internet glitch in the morning and then had an acceptable day.

The next FOTD will be posted in a reasonable time.  Until whenever, take care, and the only progressive goal more hopeless than achieving a classless society is slowing climate change (aka global warming) by passing legislation.

Jim Muth
jimmuth@earthlink.net


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

TerracesWithoutEnd { ; time=0:03:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=+0.2757513525080695/-0.0266313354418917\
  /1.25e+012/1/-97.5/0 params=-0.9/2/-0.19/3/0/0/0/0
  float=y maxiter=1500 inside=0 outside=tdis
  periodicity=6 mathtolerance=0.05/1
  colors=000zOIzNHzNHzLGzKGzJFzHFzGEzFEzDDzCDzBCz9Cz\
  8Bz7Bz5Az4Az39z29z8BzECzKDzQFzWGzaHzgJzmKzsLzyMzwO\
  zuQzsSzrTzmPzhMzcIzZFzVCzXFzYIz_Kz`NzbPzcSzeUzfXzh\
  Zziazjczidzhfzggzfiz71zA5zD8zFBzIFzKIzNLzPOzSSzVVz\
  XYz_azadzdgz`TzaVzbXzbZzc`zdbzddzefzfhzIQzNUzRXUV`\
  QZcMbgtTXoVZkX`gYac_cZ`dVbfRcgNeii4Ee9JbENZJRWOVTT\
  ZPYbMbfp_ol`nianebmbbm_clWdlTdkPekMfjiXBWaT72WAD_l\
  LUjKYgK`eJdbJg_IkYInVHrTHuVKtXNsYPs_SraUrbXqdZqeap\
  gdoifozinlknnnmopmqslrulpqizmflicje`haYfYVdUSbQP`M\
  MZIJXEGVADT6AS27X98aF9eLAjSBoYCscCY`GCZKG`OKaROcUS\
  dXWf__gbciegjhklkomnsoqwptzqwyRly1arAelIifQl_ZpUfs\
  OnwIvzNsuSqpWok`lfdjaihXmfSncTo`TpYTqczrczscztcztm\
  zumzvczwUzxUWyKWzKWz0Ww3Tt5Rq8PoAMlCKiFIgHFdKDaMB_\
  O8XR6UU4SU2Uc7VcBWcFXmJYmNZmS_mW`m_amcbmgcckdcjeci\
  fUhzUgzUfzKezJdzJczIbzHazG`zG_zFZzWUbzTdzSezRbzQ_z\
  PXzOVzNSzNPzMNzLKzKHzKFzJ }

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