October 16, 2011: A Bigger Surprise | Oct. 15 | Oct. 17 | 2011 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Yesterday's image brought a big surprise when I found actual chaotic
detail in the (-Z)^(1.05)+C Julibrot. Today's image brought
an
even bigger surprise when I found chaotic detail in the (-Z)^(1.0025)+C
Julibrot, which is 20 times closer to unity, and this is exactly what I
named it.
The rating of an 8! expresses my surprise at this unexpected turn of
events, and I would not be surprised to find the biggest surprise as I
continue to lower the exponent.
In addition to the unexpected detail, the image shows a surprising
overall pattern of radiating arms and curving loops. And yes,
the
background is filled with a large variety of detail.
The calculation price for all this surprise is an unwieldy 15-1/4
minutes. But the web sites will eliminate this problem.
A sunny morning was followed by a cloudy afternoon here at Fractal
Central. The temperature settled around a comfortable 66F 19C
for
most of the day, keeping the fractal cats content until we brought a
new chair into the living room. When we set the chair in its
place, Nicholas checked it, seemed satisfied, and walked
away.
Cassie checked the chair and immediately laid claim to it.
She
will probably make it her own catsonal chair, where Nico will be
permitted only with her permission.
The next FOTD will be posted in 24 hours. Until then, take
care,
and if we took the money from the ridiculously wealthy one-percent and
distributed it evenly among the remaining 99-percent, everyone would
have about double what he now has. The demand for goods and
services would then double, which would cause the prices to double
also, cancelling the extra wealth. The only change would be a
lack of ridiculously wealthy people. My solution to the
problem
of the unequal distribution of wealth is to ****** the ******* so that
******* ** ******** **** ***** would be equal. And then
everyone
would be satisfied.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
A_Bigger_Surprise { ; time=0:15:14.06-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot5 passes=1 center-mag=2.7\
2198/0/3.20013/1/-90/0 params=37.5/0/37.5/0/1.1513\
/0/0/0/1.0025/0 float=y maxiter=32767 inside=0
logmap=-668 periodicity=9
colors=000OG0QI0SK0TN0VQ0XT0XW0YZ0Wa0Ud0Sg0Qj0Mm0O\
p0Qr0Rr0Tq0Up0Wp0Xo0Zo0_n0am0bm0dl0ek0gk0hj0jj0ki0\
mh0nh0pg0qg0nd0lb0j_0gY0eW0cT0aR0ZO0XM0VK0TH0QF0OC\
0MA0J60K80KA0KC0LE0LG0LI0MK0MM0MO0NQ0NR0NT0OV0OX0O\
ZzP`zPbzPdzQfzQhzQjzQkzOizNhzLfzKezIczHbzGazK_zNZz\
RXzUWzXUz`TzcRzgQzjOzmNzmNzmOzmOzmPzmOzmPzmPzmPzmQ\
zmQzmQzmRzmRzmRzmSzmSzmSzmTzmTzmTzmUzmUzmUzmVzmVzm\
WzzYzz_zzazzczzezzgzzizzkzzmzzozzqzzszzuzzwzzxzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzblzc\
mzdnzdozeqzfrzfszgtzhvzhuzixzjwzjzzhvzgwzfuzetzdtz\
cqzbrzaoz`oz_lzZmzXizWjzVfzUgzTdzSdzRazQbzP`zO_zNZ\
zLXzKWzJUzITzHSzGQzFPzEOzDNzCLz8NzBLzDNzGNzIPzLSzN\
UzQXzSZzU`zT_zTZzTYzTYzTXzTWzTVzSVzSUzSTzSTzSSzSRz\
SQzRQzRPzROzRNzRNzRMzRLzRLzQKzQJzQIzQIzQHzQGzQFzPF\
zPEzCizEhzGfzHdzJbzLazN_z }
frm:SliceJulibrot5 {; 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=========================================