pagetop 
November 4, 2011: Out of the Ordinary Nov. 3 Nov. 5 2011 FOTD Home
  Rating 7.5

out of ordinary

Fractal visionaries and enthusiasts:

Today's image is a scene in the same parent fractal as yesterday's, located not too far from yesterday's image.  But while yesterday's image somewhat resembles a Julia set, today's resembles nothing that I have ever before seen.  The name "Out of the Ordinary" refers to the uniqueness of the fractal 'object' in the image.

The overlapping circular rings in the image are obviously order-101 stuff.  The entire 'object' itself however is neither quadratic nor order-101.  A bit more exploration in this area would probably bring a little sense to the scene.  It's unfortunate that I lack the time, but there are an infinity of infinite fractals to be investigated and only a limited time remaining.  (Or is there all eternity?)

Perhaps the most unusual feature of the image is the location of the bands with the least iteration count, which instead of being located along the edges of the frame are found in the small brilliant yellow spot near the center.

I sometimes question thinking of fractal patterns as 'objects', since they have no physical reality.  But then, despite the disagreement of rational materialists, physical reality itself is kind of an illusion, since all we will ever know of it, if it exists at all, is through a series of subjective mental images created by our five (or more) senses.  And a kind of 'reality' does exist in the world of fractals.  When different fractalists observe the Mandelbrot set, they certainly observe a picture of the same 'something'.

The rating of a 7.5 includes the usual half-point bonus for the coloring, which took over a half-hour.

The calculation time of 2-1/4 minutes is relatively brief, and should bring no impatience.

Today's weather here at Fractal Central was quite normal and therefore not very spectacular.  The mostly sunny skies and temperature of 52F 11C drew not a single comment.  The fractal cats, who never comment on the weather no matter how unpleasant it might be, spent the day ckecking the new scratching post that arrived yesterday.  Nicholas took first scratches, but Cassie laid first claims to the top platform.

The humans spent the day cleaning up the week's shrinking amount of commercial work.  The next FOTD will be posted in 24 hours.  Until then, take care, and if metaphysical things are so unreal, how is it possible for us to see actual pictures of fractals on the screen.

Jim (The world is made of numbers!) Muth
jamth@mindspring.com


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

Out_of_the_Ordnary { ; time=0:02:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip passes=t
  center-mag=-0.1622475778240012/+1.035247050994429/\
  1.030582e+010/1/60/0 params=101/1e+175/0/0 float=y
  maxiter=1750 inside=0 logmap=-200
  periodicity=6 mathtolerance=0.05/1
  colors=000zz0ttxppwmmuhhsccqU_oSXmRUkSRjTOjULjVIjW\
  GjXEjYGeXIfVKfTMfROgPQgNSgLUgJWgIYgHZgMXhRWiVUj_Tk\
  aRkbQmaPk`Oi_NgZMeYLbXK_WKWVKRUKNTKNRKNQJNOJOMJOKJ\
  PIJQIKRJKRKLSLLTMMUMMUQR_UWbY`f`dhdiphnvlszowzpuzp\
  tzpszpqzqpzqozqmvqlrqkrrgjsdbsaWpYUnUSlQQjNPhJNeFL\
  cCKa8I_4Gb1Fe0RhAbkKYnUTo_PpcPnfUldZiccgahd`cbZr_Y\
  vXWzVVzSTzQSzNQzLPzMRzMSzMTzMUvPRrRPmUMhWKcZI_`FXc\
  D_eBbdFZcJWbNTYRUUUVSUWPUYMU_KUaHUcGTeFSgDVcCY_4oD\
  5mG6kI7iL8gN9ePAcSBaUrBfcKbPSZvdXjbWZaWN`W0Hu2Kq3M\
  n5Pk6Rh7Td9WaAYZ8H49OEAUNU_4Q_9N_EK_IH_NE_SbeZYdYT\
  cYPbXKaXF`WYfAMbLnWBVYMAB7BFBBIEBLHBOKBRNBUQBXTtEZ\
  dMYQTXSKGOOKLRNHUQEXTLdfJcdHbbGa`E`ZC_X9buAaoA`jB`\
  eB_`PHBNKELNHJQKHSNFVQDYTHr7FnCEjHDfMCbRqA_hGZ_LYS\
  QXJVWsrWjnWajWTfWKbWoYeaZaO_ZylJrjLlhNegO_eQUcSNbT\
  H`Vhn8akDVhIOeNHbSS5NJTAJBUHGVFLVEQWCVWvQIZVPq_dk_\
  bf_a`_`W__R_ZL_YG_Xm2E9hf }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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