|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: I had intended on finding a great fractal on Sunday, but you know how it is -- one gets flopped down in front of the TV, the big game is coming on in only an hour, and there is no pressing reason to get up. This happened to me on Sunday. I did not get up, and as a result, today's fractal is not great -- it is merely average -- but it is far better than the fractal with the rating of 2 that passed for yesterday's FOTD. Today's image rates a 5, and it earns its rating. The image is a scene in a valley of the sprawling parent fractal that results when a large portion of Z^(-1.26) is combined with 1/10 as much Z^(-12.6) and (1/C) is added. The area is one where the outside material has partially evaporated, and many 'inside' areas exist beyond the limits of the midget itself. To bring these evaporated areas to life, I have rendered the image with the inside set to 'fmod' and the proximity to 1. The result is a fractal that shows a midget surrounded by what can best be described as squiggly slimy earthworms. Worms might be a suitable name for a cheap horror movie, but not for a high class production such as the FOTD. So I named the image "Underground", which is the place where the squiggly slimy worms are found. With a render time on my worn-out machine of almost 25 minutes, today's image is bordering on slowness. But salvation is at hand in the form of the FOTD web site, where the finished image is available for download. The site may be accessed at: A repeat perfect day here at Fractal Central on Sunday made for continued happy cats. They spent the entire afternoon lurking in the holly thicket, watching for prey to stray too close. No prey strayed close enough to pounce on, and the duo had to settle for their standard evening treat of tuna. Today is starting with some clouds, but there is still a lot of sun and it is still mild. Will the duo notice the weaker sun? Check here tomorrow to find out. My day looks like it will be busier than the past few, but not so busy that the fractals will suffer. The next FOTD will appear in 24 hours. Until then, take care, and stay alert for runaway fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Underground { ; time=0:24:51.78--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.29445314483197500/+0.384470732271648\
20/6.800512e+008/1/-105/-0.000131802249966776752
params=5/-1.26/0.5/-12.6/0/0 float=y maxiter=1200
inside=fmod proximity=1 periodicity=10
colors=000jTUiSVhRWgRXfQYePZfMaeP_eSZdVYdXXc_WcbVb\
dUbgTajSalR`oQ`rP_tO_wNZzMZzLYzKYzJYzIZzR_wZ`qfakn\
bdwaev`eu_ft_fsZfrYgqYgpXgoWgnWgmVflUgkUfjT`fSthSw\
gRqfQweQpdPpcOobMobOmaPlaQkaSkaTjaUjaViaXi`Yi`Zh`_\
h`ag`bg`cf`df`ff_ge_he_id_kd_lc_mc_nc_lbakabi`ch_d\
gZeeYfdYgbXhaWi`VjZUkYTlWSmVSnURoSQpRPqPOrONsNNtOY\
mPhgQsaQzWPzVOzVOzVNzUMzUmzULzUhxTKsTJqTJpSImSIlSH\
iSGgRGeRFcRFaR2ww3op3hi3ab0T_3VX5XV7ZS9_QBaNDcLGeI\
IfGKhDMjBOl8Nk6Qm6So6Vp6Xr6_t6bx2au6`rA_oDZlHYiLXg\
OWdSVaWUZZTWbTUeQWeNXeKYeH_eE`eBae8ce5de2ee0fe5gf9\
hgDhhHiiLijPjkUjkYklakmelnilommpct1qmpqnpqoprpprqp\
rrpsrpsspsrpsupttptwptupuxpuwpuzpvxpvwpvxpyytuymvz\
mqwiowflubktZjs_is`hs`hragrbfrbfqceqddqddpecpebpfb\
ogaog`oh`ni_niZnjZmkYmkXmlYknYjl_hjaehccge`egZcfXa\
eV`dTZcRXbQWaPU`NS_MQZKPXJNWILUGISFIQDGOCEMA8KBDwQ\
LuPMsONqNOoNPmMQmLRiKSgKT }
frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
|
times.
