Sept. 4, 2012: Rectangle Toyland | Aug. 31 | Sept. 5 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
I'm
back! Let the fractal celebration begin!
I bring with me a rectangle. Yes, it's the strange little
rectangle in the Z^(2.003)+C Julia sets. Only today we do not
see the pure, unadulterated rectangle, we see the rectangle as it
appears when viewed slightly off-center in the imag(Z) direction and
rotated 2 degrees toward the Oblate orientation.
From this angle the rectangle cannot be described;
it must be seen. To begin, it is no longer rectangular,
though it does retain four relatively well-defined sides. And
it is no
longer empty, but filled in its upper part with chaotic
debris. The outer parts surrounding the rectangle are no
longer unbroken.
They have begun to stretch out and break up as part of the main bay of
the nearby Mandelbrot minibrot comes into view.
The result rates a 9, most of which is due to the random coloring
feature of Fractint. My part involved nothing more than a
minor tweaking of a few color registers.
The name "Rectangle Toyland" came about when shut off my thinking
apparatus, a thing I do often. The calculation time
of >
1-5/6 minutes will pass swiftly once a recognizable part of the image
appears on the screen.
High humidity and lots of clouds left much to be desired here at
Fractal Central today. Occasional periods of rain kept things
wet. The temperature of 84F 29C felt much warmer due to the
humidity. The fractal cats passed the day keeping watch over
the local pigeons, while the humans spent the day clearing a minor work
backup. The next FOTD will be another venture into
rectangle land, and will be posted in about 24 hours, (with no
guarantee given or implied). Until next time, take care, and
intelligent people realize there are no such things as
ghosts. Too bad the ghosts have not heard the news.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Rectangle_Toyland { ; time=0:01:50.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 passes=1 inside=0
center-mag=0/0/100 params=88/0/90/0/-1.7435/0.0001\
/0.000175/0.073883/2.003/0 float=y maxiter=3600
logmap=-54 periodicity=6
colors=000YQwYQwWRuURtSRsRSrPSqNSpMToKTnITmHUlFUkD\
UjCUiBReAOa9MY8JU7HR6EN5BJ49F36B34855B76D97GB8ID8L\
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xXYuYWrZUoZSm_Qj`Og`MeaKbbI_bGXcEVdCSdAPe8Ne6SiBXm\
G`pKetPiwTfxZdxdbxj`xpZxu_wt_ws`wr`vqavpavobuobunc\
umctldtkdtjdtjaqhZngWkeTidQfcNcaKa`HZZEWYknzjnzjnz\
jnzinzinzhnzhnzhnzgnzgnzgnzfnzfnzenzenzenzdnzdnzcn\
zcnzcnzbnzbnzbnzanzaoz`oz`oz`oz_oz_ozcozcozcozcozc\
ozcozcozcozcozcozcozcozcozcozcozcozmozmozmozmozmoz\
mpzmqzmrzmszmtzmuzmvzmwzmxzmyzmzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
frm:SliceJulibrot4 {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=z^(real(p5))+c
|z|< esc }
END PARAMETER FILE=========================================