; Date: Fri, 30 May 2008 22:05:46 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 31-05-08 (Coronal Crisis [6]) ; ; Id: <1.5.4.16.20080530220900.2acf15b4@pop.mindspring.com> ; --------- ; ; FOTD -- May 31, 2008 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; When I was in Catholic elementary school (I did survive it.) and ; the subject turned to religion, I had a way of asking questions ; that on several occasions caused me to be told in effect to sit ; down and shut up. I'm still not sure what I did wrong. Maybe I ; asked the wrong kind of questions. Or maybe I just had too much ; trouble believing in things that neither I nor apparently anyone ; else could see. (This was before I realized that the scientists ; known as physicists are even better at inventing theories about ; things that will never be directly seen.) ; ; Anyway, one sunny day in May, shortly after Sister Mary Thomas ; told the class that if we were good on earth, we would all have ; a seat at the right hand of our Savior when we went to heaven. ; So far, so good, but then I had a sudden insight. Not only did ; the thought of an eternal church service seem boring, but I ; remembered the baseball game I had attended a few days earlier. ; ; The crowd there had numbered about 45-thousand, a tiny fraction ; of the millions of Catholics who would go to heaven and sit next ; to the Savior, yet even that tiny fraction at the ball game took ; up so much space that those on the outer fringes were hundreds ; of feet from the field. If a hundred-million Catholics all had ; seats at the right hand of the Savior, the stands would stretch ; for miles. Those in the outer bleachers would be unable to even ; see Him. ; ; Feeling a surge of perhaps foolish bravery, I raised my hand and ; asked how millions of people could fit by one man's right hand. ; After a minute's thought, the sister said it's a mystery and ; told me to sit down and shut up. (Actually she said something ; like 'the question is silly, so sit down and pray for guidance.) ; ; Unfortunately, after all these years, guidance has yet to come. ; But in the meantime, fractals *have* arrived on the scene, and ; today's rates an acceptable 6. ; ; The parent fractal was created by iterating the formula ; Z^sqrt(3)+C at a level 123 levels up the logarithmic ladder when ; no function is applied. This parent is shaped roughly like a ; distorted Mandelbrot set rotated so that its main bud, which is ; actually only 0.732 of a bud, faces southwest. This bud is ; shaped quite like the main buds of the Z^3+C Mandeloid, with a ; small valley directly opposite its mouth. Today's scene is ; located in this valley. ; ; The colors are unusually brilliant. In fact, they are so ; brilliant that they actually detract from the worth of the ; image. But in this case, applying such extreme brilliancy was ; the only way to add life to the scene. ; ; Today's parameter file will reveal its secret in only 3-3/4 ; minutes running time on a 2000mhz machine, which is about the ; same time it will take to surf down to the FOTD web site at: ; ; ; ; and view the completed image there. ; ; Thursday was absolutely perfect here at Fractal Central, though ; Friday brought a few too many clouds for perfection. The temp- ; erature hovered around 79F 16C (13 Reaumur) on both days, while ; the fractal cats kept an eye on the yard, watching for intruding ; tomcats. ; ; My day on Friday was a lot less busy than Thursday, when I had ; no time for the FOTD. And speaking of the FOTD, the next one ; will be posted in 24 hours. Until then, take care, and if you ; don't know the answer to a question, humiliate the one who asked ; it by calling the question silly. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Coronal_Crisis { ; time=0:03:47.28-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.8004024479835327/-0.735937934452532/\ 348789/1/-12.5/0 params=1.732/0/123/0 float=y maxiter=5000 inside=0 logmap=174 periodicity=10 colors=000V1TX3VZ5X`7Zb9`dBbfDdhFfjHhlJjnLlpNnrPpt\ RruSsuTsuUsuVsuWsuXsuZsu`subsudsufsuhsujsulsunsups\ uqsursursursursursursurou0eu0Su1Iu69u60uB0uF0uK0uP\ 0qP0lU0gZ0cc0Zc0Ug0Pl0Kq0Fu0Bu06u01u01u00u00u00u00\ u00u00u00u40u90uI0uN0uX0ua0uj0uo0us0us0us0us0us0us\ 0us0ps0ks0ls0ms0nscoskpswzzzzzzzzswoluecuXZrIgl9lg\ 0u_0uU0uP0uM0uS0uZ0uc0ul0uu0uu0lu00u00u00qe0Bs0Ps0\ ca0q90u00u06u0Pu0gu0Uu0Fu01g00K000I00j00s00s00s0u0\ 0u40uD0lI0cS0PX0Fe06j00s00s00s00s00s00s00s00s00s00\ s00s00s00s00s00o00e00X00N00D0040000000000101606F0B\ K0FP0KU0Pc0Ug0Zl0cq0g00g00q00u00u00u00u00u00u00u00\ u00u00u00u04u09u09u0Du0Iu0Nu0Nu0Su0Xu0Xu0ju1su6su6\ suBslFsUFsBKs0Ps0Ps0Zs0gs0ls0us0us0us0us0us0us0us0\ us0us0usBusUusquNuu0uu0uu0uu0uu0uu00us0us0us0us0us\ 0us0uo0ua1uNFu9Uu0gu0uu0uu0uu0uu4uuDuuSuuauujuusuu\ suusuusuusuuscusBuj0uI0uX } 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|