Jan. 25, 2013: The Seahorse Valley | Jan. 23 | Jan. 27 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
I
named today's
image "The Seahorse Valley", and why not. That's what the
image
shows. Yes, I know it looks nothing like Seahorse Valley, but
it's not the familiar Mandelbrot or Julia views of the
valley.
Its orientation is off in some remote 4-D orientation not too far from
the Julia aspect of the valley.
The close-to-Julia nature is apparent in the outer shape of the
figure. The more interesting inside stuff exists because the
angle of the slice has been rotated six degrees toward the Oblate
orientation and one degree in another unimaginable 4-D direction.
I declined to rate the image, since Seahorse scenes are so common in
FOTD history. If the image had not been such a slow one, I
might
have rated it at a 7, but 15 minutes is quite a wait for an image to
finish, especially when it lies out in a hyperspace no-man's
land. Those who view the image on one of the web sites will
avoid
the calculation wait and get quite a bargain.
The 24th brought a mix of sun, clouds and more cold weather to Fractal
Central. Today brought clouds and snow. At post
time about
1-1/2 in. or 4cm had fallen and the snow was still falling
lightly. The fractal cat spent the day watching the flakes
come
down and lying by the heat. The humans spent the day getting
the
work finished and readying the snow shovel.
The next FOTD will be posted in 24 hours. Until then, take
care,
and why doesn't the other side see that it is wrong?
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
The_SeahorseValley { ; time=0:15:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 passes=t
center-mag=0/0/1.037/1/-35/0
params=84/0/90/1/-0.75/-0.005/0/0/2/0 float=y
maxiter=32767 inside=0 logmap=yes periodicity=0
colors=000hKdhLehMfhNghOihQjhRkhTmhVnhWphYqh_rh_th\
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F99E98E87D87B86B76A75B74A65A65A65C64874E70B61D71F6\
2F62G72G73H83I83K84L94N94OA5QA5RB5TB6UD6WD6XE7YF7Z\
E8_F8_G8_G9aH9cI9dJAeJAfKAgMBhOBiQBjSCmUCnXCo_DqaD\
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zzLzzPzzUzzZzzczzhzzmzzrzzvzzzzzzzzzzzzzzzzzzzzzzz\
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=========================================