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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I have made a decision to stay more on topic. Starting today I will no longer post a copy of the FOTD to the Philofractal list. Except for the FOTD, the philofractal list has been dead for years. The topic of the Fractint list is fractals, not my ideas about God, science, or the paranormal. There are quite a few forums where these things are eagerly and properly discussed. And I'm not too sure of the importance of the daily weather report from central Pennsylvania, which can always be found on the internet. If the goofy fractal cats do anything exceptionally goofy, I'll tell about it however. (Yes, FL did have something to do with my decision to stick more to the topic.) Today's image shows some of the unexpected stuff that goes on in the fractals created by the formula Z^(1.075)+C. The most surprising thing about these almost-linear fractals is that they actually contain fiercely detailed Minibrots, which can be easily found with my 'secret' method of finding minibrots. One of these unlikely minibrots lies at the center of today's image, at the very limit of resolution. I have not gone deep enough to make the minibrot visible in today's image because at that depth, the surrounding pattern breaks down into near total chaos. At the modest magnitude of today's image, the pattern is far more interesting, rather resembling a ratchet wheel surrounded by a lacy network of lightning. I named the image "Ratcheting Onward" because of the ratchet pattern. This heavily fractured, circular effect is typical of the minibrots in fractals of such a low order. The rating of a 6 is what I think the image deserves. The calculation time of 1-2/3 minutes is a real bargain. An equal bargain may be found at the FOTD web site at: Until next time, take care, and keep a stiff upper fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Ratcheting_Onward { ; time=0:01:41.60-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=ident logmap=131
params=1.075/0/18/1500 maxiter=1800 periodicity=10
center-mag=-14.94607802098338/-2.324758141946301/8\
252035/1/-162.5/0 passes=1 inside=0 float=y
colors=0009G06H0AI6DJFHDKKKZOPdRVmUfuZitzksonrwnqz\
uphVsZ9uX8pV7lU7hS6dR6`P5XU5Tc6Nm6Zr6Zz6Zz6ZIlq3Wp\
BafIguPmuWruVzuUzuTluShuRhuQfuPduOcuPiuQnuRsuOmuMg\
uKUuLUuMUuNUuPUuQUuRUuSUuTUuVUuWUuXUuYUu_Uu`UuaUub\
ZucZueYufXugWuhVuiUukTulcUmcVncVpcWqcXrcXscYtcYvcZ\
wc_xc_yc`zc`ycaycaycbycbyccxccxccxcdxcdxcewcewcfwc\
fwcfwcgwcgvchvchvchvcivciucjucjuckuckuckucltIltImt\
ImtIntInsInsIosIosIpsIptHqsIpsIpsIprIprIprIorIoqJo\
qJoqJoqJopJnpJnpJnpKnoKnoKnoKmoKmnKmnKmnLmmLlmLlmL\
lmLllLllLllMklMkkMkkMkkMkkMkjMjjNjjNjjNjiNjiNiiNih\
NihOihOihOigOhgOhgOhgOhfPhfPhfPgfPgePgePgePgfIkePg\
eVcda_dgWcnSctOczKbZ8a60b70c80d91dA3eB5fB7fC9gDBhE\
DhFFiFHjGJjHLkINlJPlKRmKTnLVnMXoNZpO`pOamPbjQbhRbe\
SccSc`TcYUdWVdTWdRWeOXeMYeJZfG_fE_fB`g9ag6bg1bf3bg\
4bg6bg7bg8bgAbgBbgCbgEbgFbgHbgIbgJbhLbhMbhNbhPbhQb\
hRbhTbhUbhWbhXbhYbh_bh`bi }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END PARAMETER FILE=========================================
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times.
