[Fractint] FOTD 30-10-10 (Reciprocal World [6])

30 Oct 2010

      FOTD -- October 30, 2010 (Rating 6)

Fractal visionaries and enthusiasts:

Today's image is an afterthought.  On Friday I was exploring the 
(-Z)^(1.5)+C Mandeloid, with no thought of finding a FOTD there, 
but when I stumbled upon today's image, it struck me as so 
unusual that I decided to declare it FOTD for October 30.

Actually, what we have here is a scene in the Mandeloid that 
results when the formula is iterated with Z initialized at -0.5. 
I named the image "Reciprocal World" because of the apparent 
negative curvature of the surface at the bottom of the frame.  
If this were a real planet, it would be in the shape of a pseudo-
sphere.

The rating of a 6 makes the 4-1/2 minute calculation time barely 
worth the effort.  I recommend viewing the finished image on the 
FOTD web site at:

       <http://www.Nahee.com/FOTD/>

Friday turned blustery here at Fractal Central, with alternating 
periods of sun and heavy clouds, and even a few light showers.  
The temperature of 48F +9C was too chilly for the fractal cats, 
who grew tired of watching the blowing leaves and spent most of 
the day sleeping near the heat or asking for their treats.

My day was slightly busy, but nothing to get excited about.  The 
next FOTD is due to be posted in 24 hours.  But if an unexpected 
antiquing trip comes up on Saturday, it could be dalayed how-
ever.  Until whenever, take care, and be filled with wonder.

Jim Muth
jamth@mindspring.com

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

Reciprocal_World   { ; time=0:04:26.88-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 passes=1 float=y
  center-mag=-0.0079014/+0.7369293/90/1/-72.5/0
  params=0/0/0/0/0/0/-0.5/0/1.5/0 maxiter=24000
  inside=0 logmap=-120
  colors=000KAHKAIKAJKAKKALKBMKCNJDOIENHFMGGLFHKEIKD\
  IJCIIBIHCIHAIIDHJEGKEFLFEMFEMHFNJFNLGQNHUPKZRMcSOh\
  UQmWSrYUv_VzaWzbWzdWzfXzhXzjXzlXzmXzlYzlZzl_zk`zka\
  zkbzkczjdzjezjfzifzigzihziizhjzhkzhlzgmzgnzgozgozh\
  pzipzipzjpzkqzkqzlqzmqzmrznrzorzorzpszqszqszrszztz\
  ztzztzztzzuzzuzzuzzuzzpzzkzzfzzazzYzzXzzWzzWzzVzzV\
  zzUzzTzzTzzSzzSzzRzzQzzQzzPzzPzzOzzNzzNzzMzzMzzLzz\
  LzzJzzHzzFzzEzzEzzEzzEzzEzzEzzEzzAzzEzzHzzKzzOzzRz\
  zUzzYzz`zzczzgzzjzzmzzqzzszzrzzpzzozznzdmzekzfjzfi\
  zggzgfzheziczibzjazj`zkZzlYzlXzmVzmUznTznSzlUzkVzj\
  XziYzhZzg`zfazebzddzcezbfzahz`iz_jzZlzYmzXnzWpzVqz\
  UrzSqzRqzPpzOpzNozLozKnzJnzHmzGmzFlzDlzCkzBkz9jz8j\
  z6kz7jz8jz8jz9jzAjzAizBizCizCizDizEhzEhzFhzGhzGhzH\
  hzIgzIgzJgzKgzKgzLfzMfzMfzNfzOfzOfzPfzPgzQgzQgzHdz\
  QgzZjzgmzppzxszxqzxpzxnzxmzxkzxjzxhzxgzxfzxdzxczxa\
  zx`zxZzxYzxXzuYzsYzqYznYz }

frm:SliceJulibrot5   {; draws all 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), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=(-z)^(real(p5))+c
  |z|< esc }

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