Fractal of the Day
by Jim Muth

A Non-Existent Bud ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- October 26, 2008   (Rating 8)

Fractal visionaries and enthusiasts:

Pay careful attention to today's image.   Even though you might think you see it on the screen, nothing actually exists.   The whole thing exists only in the mind of the individual fractal viewer.   Those who still believe today's image is real should change the inside from 'bof60' to 'numb'.

And equally surprising is the fact that there is no parent fractal either, only another blank screen that consists totally of inside stuff.

But there the image is on the screen, evasive, ephemeral, like a ghost in a ghost show.   Actually, I have no idea what it is that I have captured in today's FOTD.   It makes no sense at all.   The main feature is a Mandelbrot bud with a main-spike appearance.   But the expected large minibrot is little more than a vaporous mass of fractal ectoplasm, caught in the act of evaporating back to its natural state, whatever that may be.

Yet the equally ephemeral features along the bottom of the image actually resemble distorted and shadowy East Valley elephants.   And there are more buds scattered through the debris choking the lower side edges of the scene.

I did a tiny bit of stretching in the horizontal direction to change the large bud from an oval to a more-natural circle.   Except for the bit of tweaking I did on the colors, the rest of the image is untouched.

I rated the image at an 8, which includes 1/2 point for my coloring effort.   Then I named the image "A Non-Existent Bud", since that's exactly what it's a picture of.

The calculation time of 2-1/3 minutes is reasonable, as is the minute or so required to go to the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
and view the finished image there.

Rain fell in heavy squalls most all day Saturday here at Fractal Central in central Pennsylvania, but the temperature remained a relatively mild 61F 16C.   The fractal cats didn't mind the rain, but they were were disappointed with the lack of sun.

Due to the rain, I escaped an antiquing trip, which left me with an average day.   The next FOTD will be posted in about 24 hours.   Until then, take care, and be at large in the world of fractals.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

A_Non-Existent_Bud { ; time=0:02:23.57-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=DivideBrot5 maxiter=1500 periodicity=10
  center-mag=-2.05685/0/9.739925/1.0323/-90/0 float=y
  params=-1/10 passes=1 inside=bof60 logmap=yes
  colors=000zqUwoVtlWqiXnfZmd_la`k_bkZcjXdjVfiTgiShh\
  QjhOkgNlgLnfJohJofIpeIpdIpcIpbIpaIp`Ip_IpZIpYIpXIq\
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  Ho3Gn3Gm3Fl3Fk3Fj3Ei3Eh3Eg3Df3De2Cd2Cc2Cb2Ba2B`2B_\
  2AZ2AY29X29W29V28U28T28S27R17Q16P16O16N15M15L15K14\
  J14I13H13G13F12E12D12C24E36G38H4AJ4CK5EM6GO6IP7KR7\
  LS8NU8PV9RXATZAV_BXaBYbCZdB_fC_eD_dD_cE_bEZbFZaFY`\
  GY_GXZHWZHWYIVXJVWJUWKUVKTULTTLSSMSSMRRNRQNQPOQPPP\
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  FAYGAZH9ZI8_J7`K5_L7ZM9ZNAYOCYOEXPFXQHWRIWSKVSMVTN\
  UUPUVQTVSTWUSXVSYXRZYRZ_Q_aQ`bPadPaeO`fO_fN_fNZfMZ\
  fMYfLXfLXfKWfKWgJVgJVgIUgITgHTgHSgGSgGRgFRgFQhEPhE\
  PhDOhDOhCNhCMhBMhBLhALiAKi9Ki9Ji8Ii8Ii7Hi7Hi6Gi6Gi\
  5Gl4Hp3Hs2Hv4Ju5Lu7Nu8Pu9RuBTuCVuDXuFZuG`uHbtJdtKf\
  tLhtNjtOltPntRptqpPpoRpmS }

frm:DivideBrot5   { ; Jim Muth
  z=0, c=pixel, a=real(p1)-2,
  b=imag(p1)+0.00000000000000000001:
  z=sqr(z)/(z^(-a)+b)+c
  |z| < 1000000 }

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


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