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 -----
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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