Fractal of the Day
by Jim Muth

Ridges Everywhere ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- July 24, 2002   (Rating 7)

Fractal visionaries and enthusiasts:

I am fractally annoyed.

When I opened my e-mail box a few minutes ago, I found six frivolous letters, each of which had basically the same 90kb file attached.   Usually I receive one or two copies of this file every day, but six is a record.   I must have received two-hundred copies of this same meaningless file over the past few months.   The file always has a different name, but the body, with a few variations, remains basically unchanged.   The message that accompanies the file often says something such as "I now make this game for you to try.   You are the first."   Since the file obviously contains a virus, I have not run it, but it is amazing how long this virus has been circulating, and how pervasive it is.

It is even more amazing how long the FOTD has been circulating, with no end in sight.   In fact, starting in October, when the FOTD CD is ready, the ongoing FOTD will once again appear on a daily basis.   Until then, it will appear on every even-numbered day.   Be patient.

And today being an even-numbered day, we have a new FOTD to discuss.   This one once again colors the outside with the <tdis> algorithm, which creates the effect of ridges.   This ridge effect is why I named today's image "Ridges Everywhere".   The striking overall effect earns the rating of 7.

Today's scene is part of a parent fractal created by the formula 2(Z^(0.9))+2(Z^(-0.9))+C.   The parent is a distorted M-set lying in the normal orientation.   Today's image lies in a spiral in the rump of an elephant on the southern shore of East Valley.

The 18-minute render time can be annoying for those who lack leisure computer time.   As a remedy, I suggest visiting Paul's site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
or Scott's site at:
http://sdboyd.dyndns.org/~sdboyd/fotd/
and downloading the completed GIF image from there.

The weather Tuesday here at Fractal Central was of the fractal variety, with a temperature of 102F 39C at 5pm and 72F 22C at 6pm.   The spectacular drop was caused by a heavy and quite noisy thunder-storm that struck at 5:30 and put a temporary end to the excessive heat.   When the fractal cats came out of hiding they were quite thankful for the coolness in the air, and spent the evening in the wet grass, shaking the water from their paws.

As for me, I'm ready to spend the rest of today, which is starting much cooler, shaking the backlog of work from the shelves across the room.   Until next time, which will arrive on Friday the 26th, take care, and don't tempt the powers that be.


Jim Muth
jamth@mindspring.com


START 20.0 PAR-FORMULA FILE================================

Ridges_Everywhere  { ; time=0:18:23.62--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-2.740404644979088/-0.0120562596393299/\
  8.460675e+010/1/-150/-0.00149391725933679942
  params=2/0.9/2/-0.9/0/0 float=y maxiter=1800
  inside=0 outside=tdis periodicity=10
  colors=000RxwRttRqqRmnRijRdgRadRYaRT_RPVRMSRIPRDMR\
  9KR6HT9OVCVWF`YIg_Ln`OtdRzgTzjWzm_znVxpRkqOYsKLtF6\
  vC0z0kw7jtDjqLinRikWi10V00VR_OL_HD`96`10g0`m00a03O\
  39IADAII4POAVSF`WKfaOkfTqjYwpaztfzxjzpmzgnw`qnSsgK\
  v_CwR3zI0zA0z00z00z01z04z0gP4gO3iO3jO1kO1mO0mO0iM9\
  dLI`KRWKYSIfOHnKHvICjI9`H4PH1FF03F00I6AKHRLRfM`vOj\
  zPvxRzkSznTzqVwtWswYpz_mz`izafzcczc`zcizcqzczzW_`P\
  77MFALLDISHHYIFcLCjOApR9vS6zV4zY3z_0MD0RA3V97_6Ac4\
  Fg1Kk0Op0Rt0Vx0_z0cz0fz0cz0az0_t0Yp0Vj0Tf0Ra0PW0MS\
  0LM0II0HC0D70C30A40A61A77A9DAAKACP9DV9F`9Hf9Ik9Kq9\
  Lw9MzASzCWzD`zFdzHjzInzKszLwzMvxOtvPstRsqSqpTpmVpk\
  WniYmf_md`kaaj`cjYdiWfgTggSc`R_VPVPPRKOMCOI6MD0M90\
  L40LH7KSPIcfI3c09d3Df6If7MgARgCWiF`jIdjKikMmkOsmRw\
  nTznVzpYzp_zqazscvtdpvfkwggwjcxkYzmTznPzpLzqIzqFzq\
  DzqAzq9xq6xq4xqCnnKdkRVjYLgdAdj0cm3ap6aq7atAavDaxF\
  azIazLazMapOccPdRRfSzzRzz }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

END 20.0 PAR-FORMULA FILE==================================


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