Sept. 25, 2014: Intricate Web | Sept. 22 | Sept. 26 | 2014 | FOTD Home |
Fractal
visionaries
and enthusiasts:
While playing with old discarded formulas, I recently stumbled upon
today's image, which must be seen to be believed. The image
is a
slice through a 'dividebrot' Julibrot at an angle only 0.02,0.02
degrees from the Julia orientation. The name "Intricate Web"
comes close to describing the scene, but the word 'web' does not do
full justice to it. The more delicate parts resemble a
spider's
web closely enough, while the more solid parts look more like floating
blocks of concrete.
To find the best proportions I did stretch the image somewhat in the
horizontal direction, though not enough to distort the image or change
the overall effect.
The coloring is mostly accidental. Only a small part of it is
my
own creation.
The calculation time of 3-1/4 minutes will pass faster than expected
once the details become apparent. Of course, the web sites
are
always available for even faster satisfaction.
Today began with cloudy skies and light sprinkles here at Fractal
Central. But by afternoon the rain ended and the sun
appeared,
making the fractal cats and humans quite happy. The
temperature
of 70F 21C could not have been better.
The next FOTD will be posted in time. Until the time arrives,
take care, and the U.S. president, Mr. Obama, recently stated in an
address to the United Nations that the cause of empire leads to the
graveyard. Since, his country, the United States, has over
500
military bases scattered around the world, I wonder which nation he was
talking about. And I'm a little on the conservative side.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Intricate_Web { ;
time=0:03:15.00 SF5 at
2000MHZ
reset=2004 type=formula formulafile=basic.frm
formulaname=DivideJulibrot passes=1
center-mag=5.51/0/34.5/1.4601/-90/0 params=89.98/0\
/89.98/0/-0.77/0/0/0/1.05/1.5 float=y maxiter=600
inside=0 logmap=198 periodicity=6 sound=off
colors=00033844B66E88HAAKDDNGGQJJSMMUPPWTTYXX_``bg\
ghmmmmmpmozorzrzzzzzmmmmmmcccUUUPRoMDUBIBJHARH9ZG8\
c32eA5fG7hNAmR0kS6iTCkQ9mNCmQFmTImWLmZOmaRrdUre_rg\
bqddpb`q`YrYUtWQwUNzRLzOJzLHzIFzFDzDBzHPzLazOnzHZz\
AKzF5zF8zKAzQDzWFzaHzgKzmMzmOzmZzmZzmdzmazmZzmXzhL\
zcKzZKzeKzbJz`IzZHzaOzcVze`zhgzjnzltzfqzanzWkzRhzL\
ezGbzB`zNkzYvzWizVYzMOzDFvPIr_KmVRZQYcLdZOgUQjPSlK\
UoMWlNRfON`PIVQEQK9UO5YS1bb0fl0zeDz_PzT`zNlzrzzjwz\
eszUqzPmzQkzN`zKRzHGuF6pJ9kNCkQEpUHuXJz2oz9izFczFp\
zFjzFdzFZzFTzFOzJSzMVzPYzT`zWczZfzWezUdzSczQbzObzL\
dzJez5szBlzHfzN_zTUzZNzcHz`JzYLzVNzSPzhazaYzWVzQRz\
JOzDKz1Bz7HzDMzJRzPWzVaz`fzfkzf8zkpzgozcnz_mzWlzSk\
zOjzHlzKjzMhzPfzRdzTbzW`zYZzScz_XzXazVezTjzRnzOMzO\
PzORzOUzJ1zLCzMMzOWzPezKyzNtzQozTkzWfzZbzaYzYYz`Wz\
bVzdUztRzoSzjTzfTzaUzXVzTVzOWz70zCBzGMzKWzOfzsBzUv\
zSpzQjzhqzWhzPdzIazBZz0_z }
frm:DivideJulibrot {; draws 4-D slices of
DivideBrot
Julibrots
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), aa=-(real(p5)-2),
bb=(imag(p5)+0.00000000000000000000001),
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=sqr(z)/(z^(aa)+bb)+c
|z|< 1000000 }
END PARAMETER FILE=========================================