; Date: Fri, 23 Nov 2007 21:48:37 -0500 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 24-11-07 (Mossy Fractal garden [7.5]) ; ; Id: <1.5.4.16.20071123215017.2a6f6562@pop.mindspring.com> ; --------- ; ; FOTD -- November 24, 2007 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image in the Z^(1.618034)+C Mandeloid looks quite like a ; real three-dimensional scene. The three-dimensional effect was ; created by the coloring, but when I saw it, I started pondering ; the nature of reality. ; ; The question "What is the ultimate reality" can be logically ; answered in several ways. The specific answer depends on the ; world view and mind-set of the one who gives the answer. A ; materialist will confidently state that the material universe is ; the one and only reality. A true religious believer will agree ; that the material universe is real, but he will just as confi- ; dently add that there is a second reality, a spiritual reality ; where spiritual things such as God, angels and the spirits of ; the dead exist. A mystic will answer that both the material and ; spiritual worlds are basically illusions and that only conscious- ; ness is real. A fractalist will ask where fractals fit in. And ; I wonder where I fit in. ; ; Returning to the topic, I named today's image "Mossy Fractal ; Garden". Something about it reminds me of a pleasant little ; garden at the edge of a brook that I used to visit as a child. ; I can still remember the mossy rocks piled along the banks. The ; rating of 7-1/2 includes 1/2 point bonus for the coloring, which ; creates the mossy effect. ; ; Actually, the image is one of the better minibrots I have found ; in the Mandeloids with exponents between 1 and 2. Today's ; exponent, 1.618034, is the golden ratio, not that it makes much ; difference in the resulting fractal. What does make a differ- ; ence is the fact that I now use the function 'ident' instead of ; 'floor'. Using 'ident' is the same as using no function at all. ; I made the switch because the images created with the 'floor' ; function jump about in an irregular manner, while those created ; with 'ident' move smoothly up the logarithmic ladder, making ; animations feasable. (Not that I have any plans of creating any ; animations.) ; ; Today's image was created at ground level of the logarithmic ; ladder, where the parent fractal resembles an overturned ; turtle, with the scene of today's image located on a filament ; extending from the turtle's belly. ; ; The calculation time of 2-3/4 minutes is quite reasonable, as ; also is viewing the finished image on the FOTD web site at: ; ; ; ; Much colder weather moved into the Fractal Central area on Fri- ; day. With the winds, the temperature of 36F 2C felt more like ; 25F -4C. The fractal cats kept close to any available source of ; heat for most of the day, while I kept as far from the local ; shopping mall as possible. The next FOTD fractal will appear in ; 24 hours. Until then, take care, and reality is all around us, ; if only we had eyes to see. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= MossyFractalGarden { ; time=0:02:43.18-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.694457057472/+0.729050695061/1536961\ /1/-72.5/-1.2758e-005 params=1.618034/0/0/0 float=y maxiter=5000 inside=0 outside=tdis periodicity=10 colors=00008Y06_06a04b02d01f00g00i00k00l00n00nzXpz\ TnzRntQlpOikNgfJfaI_OGXLETGDRBBO68N26L04I02G01G00G\ 02G06I09J0DL0GO0JR0LV0OY1Ra4Va6_bDfdTkdiqdzxdzzdzz\ dzzdzzdzzbiwaTn_DdYBXX9NV8ET69R42Q20Q06_0Ei0Nq0Vz0\ bz0iz0gz0gz0fz0fz0dz0dz0bw0bt0aq0an0_k0_g0_d1Ya1YY\ 2XX4XT4VQ6VN8TJ8TG9RDBR9BR8DT9EV9EX9GY9GY9I_BJaBJb\ BLdBLdBNfDOgDOiDQkDQkDRlETnETpEVqEzqEzpGzpGznGznGz\ nGzlGzlGzlIzkIzkIzkIziIziIzgIzgJzgJJfJJfJJfJIdJIdJ\ IdJJfIJfGJgGJgEJiDJiDJkBLk9Ll9Ll8Ln6Ln6Lp4Lp2Lp2Tq\ RaqpiqznftsXdxNOzD8z20z60z80z91wD4tE8sGBpIEnLIlNLi\ OOgRRfTVbVYaXa__dXagVbkTdlnJQz04x40n90dB0_G0VJ0QN4\ LQ9ITEDXL8_Q2bV0f_0kd0ia0g_0gY0fX0fV0dT0dR0bO0aN0a\ L0_J0_I0YG0YE0VD0RB0Q91N84J68I4BI4EI2IJ1JJ0NJ0OI0Q\ E0RB0T90R60R20V10X00R00V10Y60b90gE0lJ0qN1wR2zX4z_8\ zd9ziBzlEzqGzwIzzLzzNzzOzzRzzTzzVzzYzzazzbzzfzzgzx\ kzsnznpziszftzax0BV0BX09Y } 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|