; Date: Wed, 29 Dec 2010 22:21:11 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 30-12-10 (Fractal Uncertainty [?]) ; Id: <1.5.4.16.20101229222119.10ef8c0a@pop.mindspring.com> ; --------- ; ; FOTD -- December 30, 2010 (Rating ?) ; ; Fractal visionaries and enthusiasts: ; ; Today's image has a strange look about it. In fact, the strange ; look is all the image has going for it. The grainy effect is ; due to the magnitude of the image being beyond the limit of math- ; ematical precision. The name "Fractal Uncertainty" expresses ; this imprecision. ; ; The parent fractal was created when I calculated the formula ; Z^(1.75)+C eleven turns up the complex logarithmic hyperspiral ; with no function applied. The image could be a troublesome one, ; since there is no guarantee that the accuracy will fail in ; exactly the same way on all machines. ; ; Since I'm not sure what will result when the parameter file is ; run on different machines, I could give the image only a rating ; of a question mark. To be sure of seeing the correct image, I ; suggest viewing it on the currently active FOTD web site at: ; ; ; ; The traditional FOTD web site may still be accessed at: ; ; ; ; but it is not yet up to date. ; ; The temperature reached 40F 4.5C here at Fractal Central on ; Wednesday, which was the warmest in almost a month. The fractal ; cats leaped to their window shelf as soon as the sun reached it, ; and stayed until the sun moved on several hours later. ; ; The humans' day was about average -- dull but peaceful. The ; next FOTD will be posted in 24 hours. Until then, take care, ; and maybe we're all merely Boltzmann brains. ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= FractalUncertainty { ; time=0:05:24.72-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-1.7800606505427/-0.1605412639414543/\ 1.082816e+013/1/-17.4/0 params=1.75/0/11/0 float=y maxiter=1500 inside=0 mathtolerance=0.05/1 colors=000OESKBNG9JC7E84942zfUbLFJ2_j1Ub1OV1IN0CF0\ 67ELVAFN7AF3570IK0EG0AC078034zQz9cXU005DU00I000qtD\ zz6kZqaSfSLWJEL97ASl8IW59G2Ei1Cc0AY08S07N05H03B015\ 0OUMzKE8A7c`nQOYHGREFVCE_9Dc6Ch4Bl8JjBQiFXhIcgJ271\ jV9lPGnKNoFVqAas5ht0jm6lfCn`IoUNqNTsHZuAdv4ikNWadI\ Sv5KJ9JMFJOKIRQITVHW`HYeH_jIbcJeXJhRKkKKnELq7Ls1Ef\ J7V_0JpFErT9sf4ut0v10g93fG6fN9eVCeaFdhIdoKdqFjsAou\ 5tv0yw4ox8fyCXzFO3A7qCKhAH_8DR6AI46923MbuBJTrsljke\ bcZVWSNOLFGE787uRZfKQTDHz68lbNzQFzD7zE6zC58z4z835z\ 2z41120cG1K80vMUjHOZDIz8Cz46frTYgNPXHHMB8B5LzxFByB\ 8i75V32FVntPejKYaFPSAHJ5z9qfHhZE_SBRL8IE5972rJdR9K\ BHQ9EL7BH58D3581243vY2lS2bM1TH1Jz095TarEJRW`3RV2MQ\ 2IL1DF19Az450ezkLVOTv5Nj4HZ3BN25B17w7zc42K2zDHmAD`\ 7AP56z23zQQ0HH088Cp`FZ5BQ37H2381TOtPLlLIeIFZzCSA9L\ 76Ez375CD4AB399378266144133011rUnOpPIbICQC6D6m1TWO\ fRK_MHUIDODAI96C436WJaSGX } 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|