Fellow Fractaliers/ieres - (sorry I haven't figured out how to IE4 to do the missing accent grave)- WRT this interesting FOTD, Jim said: "..........I have no idea why a quadratic midget should be located near a cubic bud............" Would a member of the math/math sci community and/or peanut gallery mind providing some elucidation accessible to lay-persons? Thanks, D Freed ----- Original Message ----- From: "Jim Muth" <jamth@mindspring.com> To: <fractint@mailman.xmission.com> Cc: <philofractal@lists.fractalus.com> Sent: Thursday, July 18, 2002 8:39 AM Subject: [Fractint] FOTD 18-07-02 (Writhing Minibrot [6])
FOTD -- July 18, 2002 (Rating 6)
Fractal visionaries and enthusiasts:
Today's image is part of a fractal that takes the parent fractal of the most recent FOTD, makes a small change in the portions of Z, and adds 1/C instead of C. These changes create a grossly bloated fractal which has a totally new overall shape but retains the inner detail of the original.
The scene of today's image is in a totally cut-off feature near a cubic-shaped bud of the parent fractal. I have no idea why a quadratic midget should be located near a cubic bud.
I named the image "Writhing Minibrot" because of eight the twisting arms. An outzoom will reveal four arms which are even more twisted, but at this scale the central midget is invisible.
Considering the vivid coloring, the rating of 6 is perhaps a bit conservative. But with its routine appearance, I really could not give the image a rating of 7.
The render time of the parameter file is under 6 minutes. This is reasonably fast, but still slow enough to make a download of the completed GIF image file worth the slight effort.
The download can be found at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
and at:
<http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>
The fractal weather Wednesday was very hot, with a temperature of 98F 37C that kept the dynamic fractal cats indoors. Today is just as hot, and also more humid. The cats will likely spend another day indoors.
I'll spend most of the day indoors also, getting caught up in some unexpected work that came in. Until next time, which will be on July 20, take care, and what is more real, a quark or a lark.
Jim Muth jamth@mindspring.com
START 20.0 PAR-FORMULA FILE================================
Writhing_Minibrot { ; time=0:05:48.06--SF5 on a P200 ; Version 2002 Patchlevel 4 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.41757997728383400/+0.186116858405553\ 00/1.301984e+011/1/-87.5201974223679713/0.01523203\ 09024481793 params=1/3/-0.3/5/-2.5/0 float=y maxiter=1000 inside=0 logmap=100 periodicity=10 colors=0000Xm0`k2di8ggEigJmeRqdXubbvbgz`mzZszXxzXm\ xRdmLVdHLTCCH62820A00A00A00A00C00C00C00C00C00E00E0\ 0E00E00G00G00G00G00G00J00L00N60PE0RN0TV0Vd0Xk0Zu0`\ z0bz4bz8bzCbzGdzJdzLdzPdzTdzXez`ezdezeeziezmgzqgzu\ gzxgzzgzzbzzXzzRxzNxzHvzCvz6uz0uz0sz0sz0oz0kz0gz0d\ z0`x0Xv0Ts2Po2Lk4Hg6Ed6A`86Z84LH88RC0`G0gJ0iG0kC4m\ 8Co4Hq0Ps0Vu0bv0gv0im0id4kXCkNJkERm6Zm0em0mN0V00CE\ 0JTARgPZvdezsmzuezu`vuVsuPmuJiuEeu8bu2Xu0Tu0Pu0Lu0\ Gq0Cm08k62gE0eN0bV0Zd0Xk0Tu0Rz0Nv0Ls0Jo0Hi0Ee0Cb0A\ X08T04P02J00G00C00808J0JV0Vd0eo0qx0zz0zz0zz0xz2sz4\ mz8gzCbzEXzHPzLJzPEzR8zV2zZ0z`0zZ0zZ0zZ0zX0zX2xX6u\ V8qVAmVCiTEeTHbTJZRLVRNRRPNRRLLPJHNJELJALJ6JJ2KJ0U\ J0cJ0mJ0wJ0zJ0zJ0zN0zP0zT0zV0zX0z`0zb0ze2zg6zi8zmA\ zoEzsGzuHzvLzsNzqRzoTzmXziZzg`zedzdez`izZkzXmzVmzX\ mzXmzXmzXmzZmzZmzZmzZmz`mz`mz`mz`kzgizogzvgzzezzdz\ zdzzLzz2zq8zkCzg0zz0zv0zo }
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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