Fractal visionaries and enthusiasts:

Today's image is extremely lucky, (if images can be considered to have luck, that is.)  It was originally intended to be the FOTD for this past June 20, but I accidentally lost it because of a power glitch before I could bestow the honors upon it.  (I run Fractint from a virtual ramdrive.)  But today, much to my surprise, I found that I had saved its full parameter file under the unlikely name 'todim.par' in my 'real' Fractint directory on the 'real' C: disk, so the image, which is a very fast one, was not lost after all.  The name "The Lost Image" is obviously self-explanatory.

The parent fractal is a Mandelbrot set with so much Z^3 corruption that the effects are just starting to show on the surface.  Today's scene is located in the 'main spike' area of the large minibrot on the 'main spike' of the parent M-set, where the Z^3 corruption is especially strong.

The rating of 7* has a star attached, which indicates that the image is not a new one, and also points out the resolution breakdown just starting to appear along the band edges.  The magnitude of over 10^13 is beyond the range of perfect resolution and makes the mathtolerance entry necessary.

But despite the extreme magnitude, the image is a very fast one, which calculates in a fireball 30 seconds.  And even this minor calculation hassle may be avoided by checking the web sites.

Typical July 4th weather prevailed here at Fractal Central today, with all the expected ingredients.  We had hot sun, the usual high humidity, and a temperature of 91F 33C.  There were even rumors of the typical rain storm that arrives at fireworks time.  The fractal cats were skittish most of the day due to the sporadic firecrackers going off in the neighborhood.  When darkness arrived and the fireworks increased, they took to their security places.  Meanwhile, the humans did little out of the ordinary.

The next FOTD will be posted within a reasonable time.  Until whenever, take care, and what difference will the discovery of the Higgs particle make in the life of the average person who is not a physicist?

Jim Muth
jimmuth@earthlink.net


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

The_Lost_Image     { ; time=0:00:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti2 function=recip float=y
  center-mag=-1.750947207550318/0/1.037696e+013/1/\
  -30/0 params=3/16/0/0/0/0/0/0/0/0 maxiter=1500
  inside=0 periodicity=6 mathtolerance=0.05/1
  colors=000_H7WF6TE6PC5LA4I83E73A52731310w4Fm3Cc2AU\
  27K15A02zb5oW4eQ3VJ2LD1A60ZWDVSBROANL8JH7FE5BA4772\
  3319EK7CH6AE58B368245122uZKaNDJB6ZLuQFfHAT85EnI7iG\
  6eF5aD5YC4TA4P93L72H62C41831410cuMUfGKTBAE5QBBJ88D\
  55622I3nG2iF2eD2aC2YA1T91P71L61H40C308104tO2oM1kK1\
  fI1bG1ZE1UC1QB0L90H7000000040000000000000000000000\
  0000cCzUTmJZWH_TGXREUPDRMCPKAMI9JG8GD6DB5B94862541\
  22neAf_8_U7TO5LI4EC2761v5Fn4Dg3B_39T27M15E13701CDh\
  VafQW_MRUHLODGI8AC456u_2oW1iS1cP1YL1TI1NE0HA0B70Zf\
  F`hDbgIdgNfgSggXig`kfelfjnfopftqfxmgriglehgahaYhXU\
  iRQiMMiGIjBEj5Bj0Fn2Ir3Lv5Oy6Lw9JuCHsFEqICoLAmO8kQ\
  AlSBmTDnVEoWFpXGSeEP`6HDCMXBJT9GP8EL6BG48C358124RG\
  3D81S4TP3QN3OL3LI2JG2GE2EB1C919717404202xvmrphlkcg\
  e_a`VXWRRQMMLIGGDBA9554RooPkkNggLccJ``HXXFTTDQQBMM\
  9II7EE5BB3771331Wp0Pe0JV0CL06ANNWFFL77AoLWfHQYELQA\
  GH7A835uSCqQBmOAjM9fL9bJ8 }

frm:JulibrotMulti2  {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p2*0.0055555555555556),
  b=pi*imag(p2*0.0055555555555556),
  g=pi*real(p3*0.0055555555555556),
  d=pi*imag(p3*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),
  aa=-(real(p1)-2), bb=imag(p1),
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=(bb)*(z*z*fn1(z^(aa)+bb))+c
  |z|< 6 }

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