Jan. 4, 2013: Into the Boondocks | Jan. 3 | Jan. 5 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
image is a
variation of the 'New Year Surprise' image of January 1. As
JackOTZ has already discovered, the parameter values of that image are
very critical. (A tiny change makes a huge
difference.) To
show how critical, I have changed the exponent of Z from (-4.01) to
(-4.0100001) and decreased the escape radius from 9 to 2.8.
(I
have also reduced the magnitude a bit and tweaked a few color
registers, but these changes are insignificant.)
The tiny change in the exponent makes a huge change in the image, while
the tighter bailout radius changes the central rounded square to a kind
of rounded letter-X, while narrowing the width of the surrounding bands
of chaos. (Increasing the bailout causes the width of the
bands
to grow, until they finally fill the entire frame with chaos.)
As is often the case, the name -- "Into the Boondocks" -- has little
relation to the image. The rating of 7-1/2 might be a bit
conservative, but I cannot give a super rating to a string of very
similar images. The calculation time of 30 seconds leaves no
excuse for those who claim to lack the time to do the calculation,
especially when the finished image is available on the web sites.
Partly cloudy skies with a temperature of 36F +2C, a breeze from the
west, and a 5-inch 12cm pack of snow covering the ground made today
here at Fractal Central totally typical for the start of
January.
The fractal cat passed the afternoon on the shelf in the southwest
window, wishing the sun would stop turning off and on so
often.
The humans passed the day finishing the work.
The next variation on the theme will be posted when the neat come home,
and around here they come home every day at sunset. Until
then,
take care, and I never cease to be amazed at the emotionally-based but
ineffective solutions to major problems that sincere people keep
inventing. For example, to make the streets safer, why would
any
sensible person be against publishing a list of those who have
committed crimes with illegally obtained guns, yet be in favor of
publishing a list of law-abiding citizens who legally own guns?
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Into_the_Boondocks { ; time=0:00:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 passes=1 center-mag=0/0/\
0.08621576 params=90/0/90/0/-1.64788477144322/0/0/0\
/-4.0100001/-6.2 float=y maxiter=3200 inside=0
symmetry=xaxis periodicity=0
colors=000000zz0570450340220110QIWNGTLEQIDNGBKE9HB\
8E96B748435212_N8UJ6OF5IB4C72631ZG6TD5NA4H83B52521\
NHpIDeDAV96L43ASF2W7tT6oRczP5gM5cK4_I4WG3SD3OB2K92\
G61C418204CdrA`m9Xh8Tc7QZ6MU5IP4EK3BF27A135X8BS79O\
68K56G45C34822411KpkHieFb_CXUAQO7JI5DC266alRXeNS_K\
NUGJODEIA9C6463DaKAUG7MC5F8274aRFXODTLBPIALF8GC6C9\
5m00zzzzUzi4b`3VS2NI1F907Pj8Nf7Lb6J_6HW5FS4DP4BL39\
I37E25A1371130gSlcPg_McWKZSHVOFQKCMGAHC7D858424AUm\
8Qg7Na6KX5GR4DM3AG26B135K35I24H24G24E23D23C13A1291\
2812611501401200100sBInAGi9Fe8D`7CW6AS59N47I36E249\
13401kRc_KUODKC6AwGcqE_lDWfBTaAPW8LR7IL5EG4AA27513\
XeCT`APW9MS8SsCWsCasBisBosAvzAzzAzdRzQftCvsLczOVqI\
cqRXqMRqOLqQEqS8qT2oV8nXEmZJl`PjbVid_hfeghkfjpcdn`\
_mYUkVPjSJhPEgM8eK3dG2Y9D4D2RA1K61D306Iu7Ei5AY47N2\
3B1pDXlCUiBSfAQb9O_8MX8KT7IQ6GN5EJ4CG4AD3892661430\
2GL1EJ0DI0CG0BF0AE09C08B0 }
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=========================================