Fractal visionaries and enthusiasts:

Today's image is the first of several variations on the image of Friday, April 13th.  Two East Valley elephants again appear in the scene, but today something has gone wrong with them.  The elephants have not only lost control of their buds, they have lost their legs.  Instead of standing guard over their buds, the elephants are sitting on them, and now totally legless, appear to be on the verge of abandoning their duties.  (I have no idea how elephants with no legs can survive in the first place.  It's a question that still needs an answer.)

To do these terrible things to the steadfast elephants, I calculated the East Valley area of the Mandelbrot set at an angle double rotated 1 and 1 degrees from the Julia orientation. When viewed from this angle, the features that define the Mandelbrot aspect are enlarged to many times their normal size.  At the same time, the Mandelbrot buds and Julia elephants shift position, making it pretty much a random guess which bud the morphing elephants will find themselves standing over.  In today's image the Mandelbrot buds are of order 42 and 41, which means that the elephants are not quite the same ones that appeared in yesterday's FOTD, though they are close enough however to make little difference.

The color palette is the same unspectacular, earthen one that I used in yesterday's image; and once again I have declined to give a rating to the image.  I consider it amusing to distort the eastern elephants, but I do not expect all fractalists, especially those who prefer brilliant colors, to find equal enjoyment.

The name "Variation-1" simply numbers the variation of the original theme.  More variations will appear on the days to come.

Today's image is not created with the high-speed type=mandel formula, so it requires a much longer calculation time of 6 minutes to finish.  The FOTD web sites can cut the viewing time to a tiny fragment of this however.

The days continue to get better here at Fractal Central.  Today brought lots of hazy sun and a temperature of 70F 21C, making it seem more like midsummer than the middle of spring.  The clouds thickened later in the afternoon, but by then a good day was already in the bag.  The fractal cats had a quiet day in the window.  Apparently the dynamic duo had already cleared the neighborhood of unwanted stray tomcats.

The humans had an average day, which is not as average as first appears.  FL spent the day visiting with an old friend back in Baltimore, while I had FC to myself.  The next FOTD will be posted in 24 hours.  Until then, take care, and to find what's really behind the news, don't watch the TV news channels.

Jim Muth
jimmuth@earthlink.net


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

Variation-1        { ; time=0:06:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=t float=y
  center-mag=-0.2406969736493894/-0.0478088393359455\
  /68.72852/1/13.15/0 params=89/0/89/0/0.26/0/0/0/2/0
  maxiter=32767 inside=0 logmap=38 periodicity=6
  colors=000fPMfQMfQMfRMfSNfTNfTNfUNfVOfVOfWOfXOfXOf\
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  8JN8JM7IL7HK7GK6FK6EK8DKACKCBKEAKG9KI8JK7IM6HO5GQ4\
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  27A27I27I27H27F27A27A27F26F26F26C26D26F16K16K16H16\
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  N14O14P14Q14S14U14U14U14V14W14X13Y13_13a13c13c13d1\
  3e13f13g13h1Am2Am1Km1Km1Km1Um1Um1Um1Um1cm1cm1cm1cm\
  1mm1mm1mm1mm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1z\
  m1zm1zm1zm1zm1zmAnmAlmAkmAimAzmAzmAzmAzmAzmAzmAzmA\
  zmAzmAzmAzmAzmAzmAzmAz000 }

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