; Date: Wed, 28 Apr 2004 10:42:07 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 28-04-04 (Fractoid [6]) ; Id: <1.5.4.16.20040428104536.0d2fecee@pop.mindspring.com> ; --------- ; ; FOTD -- April 28, 2004 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; I have before me the May '04 issue of 'Scientific American' ; magazine, which arrived in the mail yesterday. This magazine ; features articles of scientific interest that have been watered ; down and stripped of most mathematics so that they can be ; understood by the average educated person. The cover story is ; titled 'The Time Before Time', and proposes that time did not ; start with the so-called 'big bang', but might stretch backward ; forever into the past. If this is so, then time will never end. ; If an end to time were possible, it would already have happened, ; and we would not be here wondering about the start and end of ; time. ; ; There is something strange about time. In a way it is even more ; strange than space. To imagine a limit to time is as impossible ; as imagining it going on forever. I suspect that something is ; wrong with the questions we ask about time. Perhaps, instead of ; wondering whether time is limited or limitless, we should be ; wondering whether time is truly as objective as we assume. Our ; universe is four-dimensional. We know this. But why do we ; perceive one of the dimensions in such a different way? I have ; no answers, only ideas without proof, which some will agree with ; and others disagree with. ; ; But one thing certain is that the task of rendering of today's ; image has a very short extent in the space-time dimension -- ; 12-million miles to be almost exact. This distance seems long ; only because we compare it to our immediate surroundings. When ; compared to the size of our galaxy, 12-million miles is like an ; atom in a baseball. ; ; I could rate today's image no higher than a 6. It is more a ; demonstration of the outside=real option than a fractal ; discovery. The parent fractal is an indescribable thing created ; by combining Z^(-2) with Z^(-4) and adding (1/C). Today's image ; lies on a filament at the northwest edge of this parent. ; ; I named the image "Fractoid" a nonsense word that has a nice ; sound to it. perhaps the best feature of the image is its very ; short render time of one minute, which raises to overall value ; to a huge 566. This value will not be lost if the image is ; downloaded from: ; ; ; ; Tuesday was fair enough here at Fractal Central. The cats did ; not notice the blue skies and puffy white clouds, though they ; did enjoy the sun and temperature of 66F 19C. A rain squall ; arose in the evening, but by then the duo was safely indoors. ; Today is starting sunny but chilly. ; ; For me the day is starting with work to be done. Only then can ; I tackle the world of fractals. Until next time, take care, and ; never forget that FOTD accuracy is not guaranteed. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Fractoid { ; time=0:01:04.10--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-2.10780498607015700/+0.387334621764656\ 80/3984544/1/-145/5.90356517361084743e-006 params=1/-2/0.5/-4/0/0 float=y maxiter=300 inside=0 outside=real periodicity=10 colors=000UM8zQ9zUAzYCzaDzeEwaHuYKrUMpRPmNRkJUiGWk\ KZlN`nQboUdqXgr_isckufmvipxmryptzsvvpusmupkumhujfu\ fcucau`ZuYWtVUtRRtOPtLMtIKtFHtCFtFIpILlKOiNQePTaSW\ ZUYVX`R_cOafKdhGfkDin9kp6gm9dkB`hDYfFVcHRaKOZMKXOH\ UQESSHRVJQXLPZNO`QNcSMeULgWLiXPfYSdZVb_Z`_aY`dWahU\ bkSbmQVmLNmGGmB8m61m1KmDbmPtm_om`kn`gp`cr`ZtaVvaRx\ aNwaKwSIwIGw8EwACwBBwC9wD7wE6wF7wG7wH8wH8wI9wI9wJ9\ wKAwKAwLBwLBwMBwMEwJHwGJwILwKNwMPwORwQTwRVuTWsVYqX\ _oZan_coaepcgreisgjthkrglqgmofnnfolepkeqidrhdsfcte\ cucbvbbw`ax_ayY`yX`rZck`edbhYdjRelSfjSfhTgfTgdUgbU\ h`VhZViXWhVWgTXfRXePXdO_cVbc`dcfbcd`cbZc`Xc_VcYTcW\ ScVQcTOcRMcQKcOIcMHcLLcKOcJRcIVcIYcH`cGccFgcFjcEmc\ DpcDgcHZcKRcNIcR9bU1eX3eW5eW7eV9eVBeVDeUFeUGeUFdRE\ dPDdNDdKCcIBcGAcDAcB9b98b67b47b28d49e5Af6Bg8Bh9CiA\ DjBEkDFlEFmFGnHHoIIpJIqKJhOK`SLaWMb_NccOcgQceRcdTc\ bUc`_cJXcHVcFScCQcANc8Lc6 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE================================== ; ;