; Date: Sat, 30 Aug 2003 10:49:52 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 30-08-03 (The Tiny Crowd [5]) ; Id: <1.5.4.16.20030830105019.0cdfa5f6@pop.mindspring.com> ; --------- ; ; FOTD -- August 30, 2003 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; When I opened my e-mail box this morning, I noticed a message ; with some real fractal substance in it from Osher Doctorow on ; the Fractint list. The message speculates that perhaps the ; proper application of fractal geometry could clarify some of ; the seemingly insoluable puzzles of modern physics. ; ; I can't quite grasp how fractals could clarify things such as ; quantum theory, but I have long watched and wondered how such a ; revolutionary discovery as fractals could find so little ; practical application and have so little impact on our under- ; standing of things. It will be interesting to see where, if ; anywhere, Osher's ideas go. ; ; I am still browsing that old physics text book of mine, which ; was published in the 1880's. At the time, there were many ; puzzles which have since been explained. To begin, we were seen ; living on a world hundreds of millions of years old, illuminated ; by a sun that could have been burning for no more than ten- ; thousand years. Then there was the problem of the Ether, which ; everyone knew existed because waves need a medium in which to ; propagate, but which was impossible to detect and needed to ; possess some impossible qualities. Finally, there was a very ; puzzling situation with thermal radiation, which according to ; classical physics should have been in the form of extreme ultra- ; violet radiation. ; ; These problems were not solved until we went beyond classical ; physics. The discovery of nuclear energy solved the puzzle of ; the generation of the sun's heat. The theory of relativity made ; the Luminiferous Ether unnecessary, and quantum theory explained ; why hot coals glow orange-red instead of emitting gamma rays. ; ; There are puzzles equally as perplexing in the world of physics ; today. Could fractals point the direction to the solution of ; these puzzles? Will fractals solve the puzzles, or better yet, ; make them irrelevant? And 120 years from now, will the idea of ; quarks and superstrings be considered as quaint as the idea of ; Luminiferous Ether seems today? ; ; Today's fractal is another scene in the Z^3+C Mandeloid. It is ; located deep in the West Valley, which is a mirror of the East ; Valley. For a change, today's image was rendered with the out- ; side set to the 'fmod' option. I named the image "The Tiny ; Crowd" because it is filled with many cubic midgets. The ; rating is an average 5. ; ; The 19-minute render time is slow, but speed may be found by ; downloading the finished GIF image from: ; ; ; ; or from: ; ; ; ; Friday here at Fractal Central was very warm and muggy, with a ; temperature of 90F 32C and a dew point of 77F 25C. A brief ; shower in the afternoon cut short the cats' day in the yard ; almost as soon as it started, leaving them sulky and making a ; consolation treat of tuna and turkey necessary. They ended the ; day in resignation. ; ; Today is starting warm and muggy again, but there is more sun ; than yesterday at this time. Whether this bodes good or evil ; will not be determined until the day has ended. In any case, I ; shall return in 24 hours with another fractal, this one not in ; the cubic M-set. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ The_Tiny_Crowd { ; time=0:19:32.77--SF5 on a P200 reset=2002 type=formula formulafile=slices.frm formulaname=MandelbrotCube passes=1 center-mag=-0.\ 3875828936411013/-0.00020565676691499/4.793506e+009 params=0/0/0/0 float=y maxiter=7200 inside=0 proximity=0.015 outside=fmod periodicity=10 colors=0I0zzzzzzzzyzzyzzyzzwzzwzzwyzwyzuwzuwzuuzsu\ zsszsszsqzqqzqoyqoyomwomuoksoksmiqmiomfokflkdjkdhk\ bhibei`di`difefkhdojbsl`woZzqXzsVzuSzwQzzOzzQzyQzw\ SzuSzsVyqVuqXqoXmlZijZbhZZe`Vd`QdbMabE_dAXd4Vf0Tf0\ Tf0Vd0Xd2Xb4_b4_b7a`Ad`CdZCeZEeZHhXKhXKjXMlVOlVQoS\ SoSSqSVqQXsQZuOZuO`wObwMdyMbwHdyMdzOdzQfzVfzXfzZiz\ `izdizfkzikzkkzomzqmzsmzuozyozzozzqzzqzzqzzszzszzs\ zzuzzuzzuzzwzzwzzwzzwzzyzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzwzzuzzqzzozzkzzizzdzzbzzZzzXzzSzzQzzMzzKzz\ EzzCzy7zw4zu0zs0zq0zo0zl0zo0zl0zl0zl0zj0zj0zj0zh0z\ h2zh4ze7yeAueCqdEmdHkeEidKfaMd_Od_QbXS`VV`VXZTZXQ`\ VNdVNfSLiQIkQImOIoMIqKIsKIuHIyEIzEIzCIzAIz7Iz7Iz4I\ z2Iz2Iz7IzAIzEIzHIzKIzOIzQIzVIzXIzZIzbLzdNziQzkTzm\ VzqXzs_zwazydzzezzhyzjyzlwzowztzztzzrwzqsznqzjmzei\ zcfzabzXZzXXyTSwROuPKuIHsICqI7oI4mI0kI0kI0mI0oI0qI\ 0sL0uQ0wT0yX0za0ze0zj0zo0 } frm:MandelbrotCube {; Jim Muth real(c),imag(c) z=p1, c=pixel+p2: z=z*(sqr(z))+c, |z| <= 16 } ; END PARAMETER FILE================================== ;