July 10, 1997: Odd-Plane Event | July 9 | July 11 | 1997 | FOTD Home |
Fractal
visionaries:
Today's fractal, named Filigree, is a rather attractive scene featuring
a midget in the YZ plane of the Z^2.015 mandeloid. The midget
itself isn't much to look at, hardly more than a misshapen hole with
ragged bands stretched across it, but the decoration around it is
spectacular.
When I first saw it, I was reminded of that delicate, lacy ironwork I
so admired when I visited New Orleans a few years ago. Thus
the
name. Actually it's a scene between the split negative tail
of
the parent figure, which is quite attractive in this same area in both
the Mandelbrot and Julia planes.
I have such interest in fractals because I realize that exploring
fractals is as close as I will ever come to exploring an unknown
world. Like most of us in the middle-age group, I was born
too
late to explore the unknown regions of this world and too early to
explore the great unknown beyond. But I'm just in time to
explore
the world of fractals, which is as real to me as the scenes the little
rover is sending back from Mars.
So go, little rover, go, and keep sending back those pictures which are
inspiring the children who one day will launch out into space on the
greatest expedition mankind will ever know. As for me, I'm
going
to keep my eyes on my monitor and continue to find those elusive
fractals.
Today's image has been posted to alt.binaries.pictures.fractals and
alt.fractals.pictures, where those who can't tear themselves from the
Mars rover can pick it up in a hurry.
For tomorrow, maybe I'll post a Newton's fractal. I don't
know. I'll decide when the time comes.
Jim Muth
jamth@mindspring.com
START 19.6 FILE=============================================
Odd_Plane_Event { ; time=0:00:22.52-SF5
on P4-2000
reset=1960 type=formula formulafile=jim.frm
formulaname=ManN-YZ passes=1 center-mag=0/+0.07266\
271220361059/24581.01/0.008717 params=0/-1.48/\
2.015/0/1/0 float=y maxiter=2048 inside=0
logmap=yes symmetry=xyaxis periodicity=10
colors=00078R67R67R56R56R45R45R34R24R25S25S25S25S2\
5S25R25R25R25R25R25R25R25R25Q25Q24Q24Q24Q24Q24Q24Q\
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zzezzezzdzzdzzdzzdzzdzzdzzdzzczzczzczzczzczzczzczz\
czzbzzbzzbzzbzzRzzRzzRzzR }
frm:ManN-YZ {
z=real(pixel)+flip(real(p1)),
c=flip(imag(pixel))+imag(p1):
z=z^p2+(p3*c),
|z| <= 16 }
END 19.6 FILE===============================================