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Jan. 16, 2013: The Unseen World Jan. 15 Jan. 17 2012 FOTD Home
  
unseen world

Fractal visionaries and enthusiasts:  

Today's image is an almost-Julia set of the East Valley of the large minibrot on the northern main spike of the Mandeloid that results when the expression (-Z)^(2.5)+C is iterated.

The reddish stuff inside the large open hole is grossly enlarged Mandelbrot stuff.  The outer bluish stuff is Julia in nature.

I enjoy 'almost' Julia images because they are much more varied.  In pure Julia images, every small hole is basically identical, while in the 'almost' images, no two holes are the same.

The name "The Unseen World" does not refer to the supposed abode of spirits.  It describes the high-iteration Mandelbrot stuff that lies hidden beneath the low-iteration surface Julia stuff.

I gave the image no rating, but if I were to rate it, I would have chosen something like 6-1/2.  When the calculation begins, it looks like the image will be finished in less than a minute, but things slow down considerably once the central open area is reached, and the calculation will drag on for about 5 minutes.

About 4-1/2 inches (12cm) of sloppy snow fell overnight here at Fractal Central, making for a very unpleasant day with heavy clouds.  The temperature of 34F +2C melted just enough snow to fill the gutters with water and make dry feet impossible.  The fractal cat, who always keeps his feet dry, had an active day of tearing up old newspapers.  The humans had an average day.

The next FOTD *will* be posted.  The best bet is to look for it in 24 hours.  Until whenever, take care, and why is the massacre of 26 people killed together by a single gun more outrageous than 1000 killed one-at-a-time by cheap hand guns every month?  Would someone please explain the current politically correct way of thinking.  I'm a little befuddled by it.

Jim Muth
jimmuth@earthlink.net


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

The_Unseen_World   { ; time=0:05:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 passes=t periodicity=12
  center-mag=0.202471/-0.225264/56/1/-57.5/0 float=y
  params=89.898/0/89.898/45.5/-1.422159233/0.2244159\
  71/0/0/2.5/0 maxiter=32767 inside=0 logmap=8
  colors=00000H00L10O20S30V40Z50a60e71h82l93oA4sB5vC\
  6wD7wF8wHAwJBwLDwNEwPGxRIxTJxWLxYMx_OxaPxcRyeTygUy\
  iWykXymZyo_ymYxkWwjVvhTufSteQscPraNq`LpZKoXInWHmUF\
  lTElVGkWIjXKiYMiZOh_Qg`SfaUfcWedYde_dfacgbbhdaifaj\
  h`ljamhbkfciddgbee`fcZgaXg_XgZXg_Yg_Zg__g__g_`g_ag\
  _bg`cg`dg`eg`fg`gf`hf`ifajfajfakfalfamfanfaofbpfbq\
  fbrfbsfbtfbufhyebufYqfSmgNigHegCah6Yh0Vi1Uh2Th3Tg4\
  Sg5Rf6Rf7Qe7Qe8Pe9OdApdBccCNcDMbDLbELbFKaGbaHQ`II`\
  JI_JH_KQ_LKZMFZNFYOEYPIXQDXQCXRCWSBWTAVUAVV9UW9UW8\
  UX7TY7TZ6S_6S`5Ra4Ra4Rb3Qc3Qd2Pe1Pf1Og0Og1Oh2Ph3Qh\
  4Rh5Rh6Si7Ti8Ti9UiAViBViCWjDXjEYjFYjGZjH_kI_kJ`kKa\
  kLakMbkNclOdlPdlQelRflSfmTgmUhmVhmWmmXmmYmmZmm_mm`\
  mramrbmrcmrcmrcmrcmrcmrcmrcmrcmwczwczwczwczwczwczw\
  czwczwczwczwczwczwczwczwczwczwczwczwczwczwczwczwcz\
  wczwczwczwczxczyczzczzczzczzczzczzczzczzczzczzczzc\
  zzczzczzczzczzczzczzczzcz }

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