FOTD 24-07-08 (Ratcheting Onward [6])
FOTD -- July 24, 2008 (Rating 6) 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: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished GIF image is posted. 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 passes=1 center-mag=-14.94607802098338/-2.324758141946301/\ 8252035/1/-162.5/0 params=1.075/0/18/1500 float=y maxiter=1800 inside=0 logmap=131 periodicity=10 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=========================================
----- Original Message ----- From: "Jim Muth" <jamth@mindspring.com> To: <fractint@mailman.xmission.com> Sent: Wednesday, July 23, 2008 7:36 PM Subject: [Fractint] FOTD 24-07-08 (Ratcheting Onward [6])
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.)
The Fractal world is diminished. I have followed Jim's FOTD for ever, or so it would seem. The antics of the old cats, as well as the newer felines, have been part of my every day... together with the newspaper comics. Each day I compared my local weather with that of Fractal Central, and was again reassured that mine was the better home... at least weatherwise. It was sad enough when Philofractal died a slow death, and we were left with a mere wisp of the excitement of the fantastic e-mail arguements of the early years, which I still save. This had to die, I guess, as every philosophical problem had been solved... again and again.. But it was fun. Personally, I grieved for the old cat, (Thomas)? Now I must, perforce imagine the younguns romping along corridors and over furniture. I even miss the floods of the old Fractal Central. FL had somrthing to do with this dire decision? In that case I wish her bad luck in the "antique" stores. :-) May she never encounter another "bargain"! Never discourage a writer or his readers will be up in arms, and Jim WAS a writer. Remember "The Gazebo"? Oh well, life sucks and then blows away. John W.
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.)
Being by nature tuned to the fractal dimension, cats are inherently on-topic on a fractal list. And a general thanks, Jim, for the FOTD. There's not one I don't at least view and I generate and do some exploration of at least half of them. They are a regular source of 'Wow!' 'Cool!' and even the odd bit of laughter. Mike
participants (3)
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Jim Muth -
John W. -
Michael Traynor