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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It's 9:30am and the FOTD is once again late. But what's new about that? I offer excuse number three -- that things were too busy here at Fractal Central Auxiliary to get the discussion written at the regular time. Maybe I need to get a day or two ahead in my FOTD's. That way I won't be late every time I have a busy day. Of course, the problem with this solution is that I have little time to get ahead. Today's image is a picture of a midget in the Z^(pi)+C fractal, as rendered by Andrew's MandelbrotBC formula. After a moment's consideration, I rated the image a 6 and named it "Pi in the Sky". At 4-1/2 minutes on an aging Pentium, it's not too difficult an image to render from the parameter file. But for those who would rather not render, the GIF image is, or soon will be, posted to the WWW at Paul Lee's site at: The intrepid fractal cats had a rough day, as very un-springlike cold enveloped the area. The temperature of 42F (5.5C) was entirely too chilly for their sensitive ears, forcing them to sulk indoors all afternoon, while blaming me for the outside conditions. I finally eased their moodiness by treating them to a meal of tuna fish. When I checked my virtual mailbox first thing this morning, I found a very long letter telling me how to get rich quick. The letter is one of those pyramid chain letters with a MLM twist, which claims one can get rich by sending money to other people. Having my name and address so widespread on the net, I have been receiving different versions of this same letter for years. I usually delete it at once, but for some strange reason I decided this morning to skim through it. The letter begins by telling me that it is the letter I've been hearing about so much in the news lately. Now, I keep up pretty well with the news, but I have no recollection of ever hearing or reading about such a letter. I suppose that a reader who might take the letter seriously is supposed to think that the letter was indeed in the news, but that he missed it. Basically, the letter claims that one can become wealthy by doing nothing but sending money to others and having them send money back to you. If this were true, everyone on earth should be a USA-style millionaire by this time, though I have no idea where the extra money could come from or how inflation could be kept under control once everyone was rich. (Of course, we could blame the inflation on the political party in power.) In my experience, one gets rich by starting out doing work for others and receiving money from them in return, not by starting by sending money to others. In all my years of earning money working at real jobs, I have never started on a job by sending money to someone else in return for the privilege of working on their job. But apparently, from the frequency with which I receive this same letter, many are still out there who fail to understand this simple fact of life. Well, I seem to have gotten off the fractal topic. My intent was to discuss the current state of the Fractint program and the possibilities for its future development. This will be my topic when the next FOTD appears in only 12 hours or so. It's now time to start the day's rush. Until next time, take care, and I'm sorry Jonathan Roarke. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Pi_in_the_Sky { ; time=0:04:37.66--SF5 on a p200
reset=2001 type=formula formulafile=branchct.frm
formulaname=MandelbrotBC passes=1
center-mag=-0.9197872859930445/-0.1300422309794571\
/5.421884e+007/1/-25 params=3.14159265358979/0/32/0
float=y maxiter=2400 inside=0
logmap=103 periodicity=10
colors=000zszzszztzzuzzvyzwvzxszyqzynyzkyziszfnyej\
sceob_j_XeZRaYNXXIQSDKQ8EN37K03J2DO3KS4UY6aa8geAog\
BvkDznHwjKsfOocSj_XfX_bUcYQgUMjQJaSISVHKXHIZFH_FFa\
EEbEDeDBfD8gD7iB6kB4mA3nA2oA8q8Fq7Kr7Rr6Xr6Yn7Yj8Z\
fAZbA_ZB_VDaRDaNEbJFbHFfJHiMImOJoRJsSKvVMzYMz_NzbO\
zcOziUwmZqqckuifyn_zsVzyQzzayjmmSybBwbDvbEubHsbIrb\
JqbM72u60w60yD0zI3zN7zSBzZFzcJziNznRzsUzuYwuaqueju\
icukZsg_sc_s__rXarUarQaqMbqIbqFboBco7co3co0ccBXUMO\
JXI8fA0o36n4Dn6Jm6Qm7Xm7So6Qq4Ns3Ju2Hv0Ey0Bz07z04z\
02z00z00z02v03q04k36f47a78X8ARBBMDDHFEBHF6JH0KI0NI\
0OH0NH0MH0KH0JF3IF6HF8FFBEEEDEHBEJAEM8DO7DR6DU4DX4\
DY0vZ2r_0oa0mb0ic0fe0cf0_g0Yi0Vj0Rk0Om0Mn0Io0Fq00r\
z0sw0us0vn0wj2ye3za4zX4zS6zN7zJ8zEAzABz4Dz00zv0zk2\
za4zR7zHAz6vzMqzJmzHgzEczBZz8rz0vz0yz0zz0vz0qz6kzB\
fzIbzNYzSSzZNzcJziEzo8zu3zz0zz4zzAzzFzyJzwOzuUzsYz\
qbzogzmmzkqzivzgzzezzzzzz
}
frm:MandelbrotBC { ; Formula by Andrew Coppin
e=p1
p=real(p2)+PI
q=2*PI*trunc(p/(2*PI))
r=real(p2)-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| < 100
}
END 20.0 PAR-FORMULA FILE==================================
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times.
