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Jan. 1, 2013: New-Year Surprise Dec. 31 Jan. 2 2012 FOTD Home
  Rating 9.8
 
New-Year Surprise

Fractal visionaries and enthusiasts:  

Today's stellar image, the first of the new year, continues the theme of the final two images of the past year.  The image is a Julia set of a point on the negative X-axis of the Z^(-4.01)+C Mandeloid.  The location is very near the limit of the negative point, which is broadened into a wedge.

Considering both the mathematical and artistic aspects, I rated the image at a super-stellar 9.8, one of the highest ratings of all time.

The parameter values are extremely critical.  The entire image is lost at the slightest change.

The name "New-Year Surprise" indicates my surprise when I discovered the appearance of the Julia sets of such negative areas.

The very brief calculation time of 40 seconds makes today's image one of the greatest calculation bargains in FOTD history.

A blanket of heavy clouds hung over Fractal Central all day today.  A few passing flurries of snow amounted to nothing, melting as soon as they fell, with a temperature of 36F +2C.  The fractal cat and not-quite-as-fractal humans had a quiet day, which is the best way to start a new year.

The next FOTD will be posted in 24 hours if it is ready.  If it is not ready, it will be posted sometime later.  Until whenever, take care, and I'll make my predictions for the year 2013 in 365 days.

Jim Muth
jimmuth@earthlink.net


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

New-Year_Surprise  { ; time=0:00:40.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=1
  center-mag=0/0/0.1128405 params=90/0/90/0/-1.64788\
  477144322/0/0/0/-4.01/0 float=y maxiter=3200
  inside=0 symmetry=xaxis periodicity=0
  colors=000000zz0570450340220110QIWNGTLEQIDNGBKE9HB\
  8E96B748435212_N8UJ6OF5IB4C72631ZG6TD5NA4H83B52521\
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  68K56G45C34822411KpkHieFb_CXUAQO7JI5DC266alRXeNS_K\
  NUGJODEIA9C6463DaKAUG7MC5F8274aRFXODTLBPIALF8GC6C9\
  5m00HeHzUzi4b`3VS2NI1F907Pj8Nf7Lb6J_6HW5FS4DP4BL39\
  I37E25A1371130gSlcPg_McWKZSHVOFQKCMGAHC7D858424AUm\
  8Qg7Na6KX5GR4DM3AG26B135K35I24H24G24E23D23C13A1291\
  2812611501401200100sBInAGi9Fe8D`7CW6AS59N47I36E249\
  13401kRc_KUODKC6AwGcqE_lDWfBTaAPW8LR7IL5EG4AA27513\
  XeCT`APW9MS8SsCWsCasBisBosAvzAzzAzdRzQftCvsLczOVqI\
  cqRXqMRqOLqQEqS8qT2oV8nXEmZJl`PjbVid_hfeghkfjpcdn`\
  _mYUkVPjSJhPEgM8eK3dG2Y9D4D2RA1K61D306Iu7Ei5AY47N2\
  3B1pDXlCUiBSfAQb9O_8MX8KT7IQ6GN5EJ4CG4AD3892661430\
  2GL1EJ0DI0CG0BF0AE09C08B0 }

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