Fractal visionaries and enthusiasts:  

Sidewalk clearing left little time for a proper fractal search today, but I did manage to find a very fast image, which is an unfamiliar view of the Mandelbrot set as it appears when rotated halfway toward the parabolic orientation.

My first impression was of a space craft re-entering earth's atmosphere, so I named it "Mandel Re-entry".

Nothing in any way new appears in the image, so I could rate it no higher than a pair of lowly fours.

The good news is that the image is lightning fast, finishing in less than ten seconds on most DOS capable machines.  The web sites can bring satisfaction to those with DOS-challenged units.

Today brought heavy snow to Fractal Central.  By the end of the day, about 13 inches or 33cm had piled up on the sidewalk and needed to be cleared away, which kept me, the official clearer, busy into the evening.  The fractal cats watched the snow fall and also watched me remove it, while  FL kept the hot coffee ready.  The next FOTD will be posted soon.  Until then, whenever it might be, take care, and if the U.S. is the best country on earth, why are we so widely hated?

Jim Muth
jimmuth@earthlink.net


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

Mandel_Re-entry    { ; time=0:00:10.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=0.0326346/\
  -1.12835/0.6158102/0.6714/19.5581264002028767/\
  60.5611664084514274 params=0/0/75/90/-2/0/0/0/2/0
  float=y maxiter=1200 inside=0 logmap=yes
  colors=00000600811A22D33G54I75L96OC7RF8UM9ZSAcYBhc\
  EfhHcmJarHZwKWuPUuURtZPtcMsfJsiHrlEroCpqDosEnuEmwF\
  lwFzzGzzGzzHzzIzzIzzJzzJzzKzzKzzMzzKzzJzzIzzGzzFzu\
  EztzztHztIztJztKztMztzztzztzztzztzztzztzztzztzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzS`z\
  Xfz`lzerzixzfpzciz`zzYzzVzzTzzYzzazzezzjzzngzrlzvq\
  zuozunztlztkzsizshzrfzrezmgzihzeizajzYkzUkzMzzPzzS\
  zzVzzYzz`zzczzfzzhzzczzZzzUzzPzzKzzGzz_zz`zzgzz4zz\
  DzzLzzUzzazzjzzrzzzzzvzzszzrzzqzzpzzozzzzwzzszzozz\
  lzzhzzezzazzYzzUzzQzzMzzIzzEzzBzzLzzVzzdzznzzxzzwz\
  zvzzuzztzzszzrzzqzzhzz`zzTzzLzzDzz5zzDzzKzzRzzYzzd\
  zzkzzrzzyzzuzzrzzozzjzzezzazzXzzTzzOzzKzzJzzJzzQzz\
  WzzazzgzzmzzYzzIzzMzzQzzTzzWzzZzzazzdzzgzzjzzlzznz\
  zozzpzzqzzrzzszztzzmzzgzz`zzVzzYzz`zzbzzezzhzzjztm\
  zxozutzsyztuzurzvnzwkzxhzydozatzZqvYnrYlnYijXgfXdb\
  Xb_Xb`Xc`YcaYcbZdbZdc_dc_ }

frm:SliceJulibrot4   {; 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=========================================