Fractal visionaries and enthusiasts:  

The expression behind today's image mixes one negative part of Z^(-1.01) with an equal negative amount of Z^(1.01) before adding (1/C) on each iteration.  This strange mixture creates a parent fractal resembling a Mandelbrot set with its main bud cut off and the other buds pushed far around toward East Valley.  Today's scene lies rather deep in this East Valley.

The name "An Inner Ringworld" was based on the tendency of the parent's radicals to extend outward and curve around toward an attracting point at +0.5 on the X-axis.

The art rating of an 8 makes the 4-1/4 minute calculation time marginally worth the result.  The math rating of a 6 indicates that we have been to this part of the fractal universe several times before.  Viewing the finished image on the web sites can increase the bargain aspect, though it will do nothing for the math.

Heavy clouds and rain prevailed all day here at Fractal Central today, with the temperature hanging around a very chilly and un-springlike 41F +5C.  The fractal cats checked the conditions with disgust, turned away and decided to take their naps.  The fractal humans, who are still waiting for the first sign of green leaves on the trees, were too busy to waste time being disgusted.

The next FOTD fractal image will be posted, most likely around this same time tomorrow.  Until whenever, take care, and the things being theorized and actually discovered by present day physicists are on the verge of cognitive instability.  Maybe it's time to rethink the entire scientific paradigm.

Jim Muth
jimmuth@earthlink.net


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

An_Inner_Ringworld { ; time=0:04:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=+0.3579297947913825/+0.0001708364055951\
  /4.2202e+010/1/88/0 params=-1/-1.01/-1/1.01/0/0/0/0
  float=y maxiter=2250 inside=0 logmap=306
  periodicity=6 mathtolerance=0.05/1
  colors=000K0OK0OK0OK0NK0NK0NK6MKBLKGKKLKKKJBOUMUcf\
  dmZizhnmismixmgvmftmdrmcpmbnm`lk_jiZhgXfeWdcVbaT`_\
  SZYRXUPVPNTKLRCJQ9IO9GK8EL7CG6BH68D45C22900706B5CF\
  AIEFOMLTPPYSTbUXgValXeqSiwVmsXnpZonYokYpiYqfWqdVra\
  UsZSsXRtUQuSOuPNvNMvMOuLQuKRuKTuJVuIWuHYuH_uG`uFbu\
  EduEeuHesKerNeqQepSeoVenYem`elbekeejheikehmegnfeng\
  cogaoh`oiZpiXpjVpjUqkSqlQrlOrmNrnLsnJsoKsoKqqUprUp\
  scptcqvmqxmszsszswzzzzzKUUThPObFUcJZcNddRidVndYohP\
  plGpp76DwLB0UE7YGEeJLcLS4UEfWEnZSuaeg`nU_w4uIInNWh\
  RibWwX_iVbXUeJTh6SjIerUszfi`r`CShY2psHjgWeWj_KxV9Z\
  eQApe7bV5QLRQP2DAU3UK2KA1ADwWi__NIIzzehu`ZfRUTIKE9\
  40bA0KzTrfJ_U9IdUfKLLCaO9SI6JC3963oX1QGVnRf5oTOOLI\
  IECC766leA_V7OL5CA2_sZReQISH9E8ZUuQUfHUT8UEcUFPUNC\
  UBWUoGcQEct9ca4cJ6c44c33c21c1UmJUmEUm9Um4UmUUmFUmF\
  UmBcz7cz3czoczYczzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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