; Date: Wed, 30 Oct 2002 10:11:59 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 30-10-02 (An In-Depth Look [6]) ; Id: <1.5.4.16.20021030101342.0d97ad58@pop.mindspring.com> ; --------- ; FOTD -- October 30, 2002 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Since yesterday's FOTD I have been pondering, (I ponder a lot). ; I have been pondering the multiple-worlds interpretation of Q.M. ; If taken literally, this theory implies that there are a near ; infinity of myselves in a near infinity of alternate universes, ; living every possible life I might have lived. ; ; At the same time, experience shows that I can be in only one ; place at a time. Can I trust experience? If so, who then are ; these other versions of myself? And how can they be different ; versions of myself? If they merely look like me, they are not ; me, they are my identical twins. Are they unconscious auto- ; matons? If so, I might be justified in claiming that everyone ; in this world but myself is an automaton, an unconscious ; reflection of someone who is conscious only in some remote ; alternate universe. ; ; And when, if ever, does an alternate version of myself stop ; being me? In a world where I merely blink one extra time, the ; other version is clearly myself. But what of the worlds where ; I am born a woman in Mongolia in the year 1347? How can that ; person be said to be me if I am not aware of her? What of the ; worlds where I am born a Neanderthal woman? And the worlds ; where I am born an ape or a bacteria, or a mud-skimmer on a ; planet in the Virgo cluster? Taken to the extreme, it appears ; I might end up living through every possible experience every ; possible conscious living thing could possibly experience. ; There would even be a world where I am one of the fractal cats, ; and the cat is me! (But, unless fractals are conscious, there ; is no world where I am a fractal.) ; ; Or is there? Maybe if I properly understood certain esoteric ; things such as coherence-decoherence and consistent histories, ; paradoxes such as the above would vanish, or at least become ; less puzzling. Alas, I am not among the anointed high priests ; of science, the initiated few to whom these mysteries are ; revealed by means of arcane mathematics. ; ; Today's fractal might not be aware of itself, but I am certainly ; aware of it. And it is no puzzle at all. The generating ; expression takes a bit of (1/Z), adds a tiny bit of Z^8 to it, ; and finally adds (1/C). The resulting fractal is a bulging ; Mandeloid rotated 180 degrees, with the period-5 buds being the ; largest. Today's scene is located on a side branch near the tip ; of the tiny main stem that extends out from the tiny period-2 ; bud. ; ; Most of the worth of the image lies in the fiery coloring. The ; underlying shapes are nothing spectacular. After an exhaustive ; study, I decided to rate the picture at a 6. I named it "An ; In-Depth Look" because of the time expended on the exhaustive ; study. ; ; In most cases, the render time of under one minute will be ; faster than the download of the completed GIF image file from: ; ; ; ; or from: ; ; ; ; The decision is left to the individual fractalist. ; ; The weather here at Fractal Central on Tuesday was truly ; abysmal. A cold steady rain mixed with ice pellets, a ; temperature of 37F 3C and a biting northeast wind kept the ; dynamic cats housebound the entire day. Even a tuna treat ; failed to pull them totally out of their funks. ; ; And today is once again starting out abysmally. It will make no ; difference for my work, but the cats will have another bad day. ; Until tomorrow and the next FOTD, take care, and take it one ; fractal at a time. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ An_In-Depth_Look { ; time=0:00:59.10--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip inside=0 center-mag=-0.74231185074844860/+0.000001268805934\ 57/1.319056e+012 params=100/-1/0.01/8/-0.951/0 float=y maxiter=1200 logmap=45 periodicity=10 colors=000O50hRCX50dC0lK0sR0zY0zb0zi2zpCztMzzUzm`z\ jTzRKQUA_O0hJ0gK2gMAfOKfPSdR_dSfdSlkXhq`fvdczh`zlY\ znWzi_ydasZdkVhdPkXJnQEpSR`T`KUi2XffYezvCzuPztazsl\ ysvx07kHSiUhhfxgqzghvk_fnQPqH5tMHlQSdT`YXiQ_qJcz9f\ z0lsAsbKxhPzlTzpXzzoyykuvhptdlqahn_WiUHePMb_QaiU`t\ YZz`YzgSznOntHazCPz7A9dpAXlAPiAHgQMicRloUnzYpz`qzf\ pqmogtnWznKzl7zk0zkEznUzohzpvzqzOzzVxz`uxetskqlqog\ vnazkXzilzczzYzyTzzNpzHczCQz5Az00z04z0Cz0Kz4Tz7_zA\ fzEAXPEVSHUUKSXNRYQP`TOcUMdYU_``WcfSglMisHlyCoz7pz\ HqvPstWtpaulivipxevybzzezzhyzixzlvzmuzptzqsxzShz0F\ zuMtvSlvWdv`VvfMviCvdJy_PzTXzNazHfzAlzSXpfEXt5AhE9\ XV7Mi57x40z40z70zA0zE0zH0yK0vN0tQ0qTCnMPmF_l9ik2ti\ 0haSYUqNKzKOzHRzFSzCVz9Yy7ZvCYsHXoMVkQUgUScYR_aPWd\ PTzFXxEXuEXsEXpCXnCXkCXhCXyfUzzTzuUpkUc`USPUCCU05U\ tSzsJ`sA0oK4lSFiZPfeYclg`soatqatsautauuavvavxavyQv\ pCvg0v_9mNzzazzpzzzzzltkW } 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================================== ; ;