FOTD -- June 28, 2008 (Rating 7)
Fractal visionaries and enthusiasts:
Today's strange new view of Seahorse Valley shows the valley as
it appears in perspective. The center of the image is the point
at (C=-0.76+0i),(Z=-0.5+0i), which is a point of convergence of
many thick filaments.
I assume the large open area at the top of the frame, which has
a periodicity of 2, is part of the large period-2 bud, while the
open half-oval at right center is a period-17 bud on the north-
east shore line of the period-2 bud. But whatever this oval
area is, checking the orbits of the points in this image is very
interesting, and not surprisingly, the orbits frequently take
the shape of peanut holes.
The effect of looking down from a mountain top onto a blue sea-
shore with many long thin coves is rather striking. I tried to
intensify the effect with the coloring. I also see the ghostly
outlines of several volcanoes near the shore line of the large
period-2 bud at the top. But who knows what these things mean?
The rating of a 7 indicates that I kind of like the image. The
calculation time of only 3-1/2 minutes indicates that quick
satisfaction will be found by running the included parameter
file. Those who desire instant satisfaction will find fulfill-
ment on the FOTD web site at:
<
http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
where the finished image is posted, already calculated.
Now I must track down and eliminate whatever it is that keeps
popping up on one of the computers, warning that a fatal trojan
horse virus is about to destroy it. (That is unless I buy a
cure-all program at a certain web site.)
Near perfect summer conditions prevailed here at Fractal Central
on Saturday, with partly sunny skies and a temperature of 82F
28C. The fractal cats perked up when a passing tomcat left his
scent mark somewhere in the area, but soon settled down to do
what cats do best -- sleep.
My day was average: Sunday will likely be the same. The next
FOTD will hopefully be posted on time in 8 hours or so. There
are still two more trips to Seahorse Valley in the works. Until
then, take care, and circulate among the big-time thinkers.
Jim Muth
jamth@???
jimmuth@???
START PARAMETER FILE=======================================
Seahorse_Valley-28 { ; time=0:03:31.54-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=SliceJulibrot4 passes=1 inside=0
center-mag=0.460478/0.175657/3.554948/0.2653/\
179.409174596140105/-9.88243261062668
params=2.8/-7.3/90.3/-4.4/-0.76/0/-0.5/0/2/0
float=y maxiter=5200 periodicity=10
colors=000UBFTCFSDEREDQFDPGCOHBNIBMJALK9KL6JM9INCH\
OFGPIGQLJROMSQPUSSWUVZWYaY`d_cgafjdijglkjolmrlpums\
wlwwmzsnzoovmprjpmgqhercbsZ_sUXtPUuKRvFPvAQs6Rq6Ro\
5Sm5Tk5Ti4Uf4Vd4Vb3W`3XZ3XX2YV2ZS2ZQ1_O1`M1`K0aI0a\
G0`I3_J5_K7ZLAYNCYOEXPHWQJWSLVTNUUQUVSTXUSYXSZZR_a\
QacQbePcgPdiTfkWgm_iobjqfksimumnwpoxmkykhzhdzfazd`\
zc`zb`za`z``z_`zZ`zY_zX_zW_zV_zT_zS_zR_zQZzPZzOZzN\
ZzMZzLZzKZzJZzI`zHazGbzFczFdzEezDgzChzCizBjzAkz9lz\
8oz9mzAlzBkzCizDhzEgzFezGdzHczIazJ`zK_zLYzMXzNWzOU\
zPTzQSzRQzSPzTOzSOzSOzSOzSOzSOzSOzSOzSOzSOzSOzMKzS\
OzYSzcWze_zhZzkYznXzpWzh`zaezUjzNozFtz8yz8yz7sz7mz\
6gz6bz7dz7ez7fz7gz8hz8iz8kz8lz9mz9nz9oz9pzCkzEgzGc\
zJZzLVzNRzPNzu5zi6zY7zN8zB9z0AzDOzQ`zbmznzzovzorzo\
nzojzpfzpbzpZzpWzl_zhczdfz`jzXnzTqzPuzMxzKwzJvzHvz\
GuzFuzDtzCtzAsz9sz8rz6rz5qz3qz2pz1pzJqz_qzpqzoqzoq\
zoqzoqzoqzRQzPOzcBz`BzYBz }
frm:SliceJulibrot4 {; draws most 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),
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=z^(p5)+c
|z|<=9 }
END PARAMETER FILE=========================================
