; Date: Mon, 04 Nov 2002 09:40:10 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 04-11-02 (FMOD Fantasy [8]) ; Id: <1.5.4.16.20021104094157.0dd729ae@pop.mindspring.com> ; --------- ; FOTD -- November 04, 2002 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; I named today's highly-rated image "FMOD Fantasy". I gave it ; the name because the scene is an evaporated all-inside one that ; consists entirely of < fmod > inside fill. Without the fill, ; the scene would be a total blank. ; ; I do not know exactly how the < fmod > fill works. I assume it ; measures some distance, but however it works, it works quite ; well with today's screen-full of trapped points. (The < bof61 > ; fill also produces a fractal rather than a blank screen, though ; the image produced by the < fmod > fill is by far the better. ; ; The parent fractal, which adds Z^(-0.25) to Z^(0.25), can hardly ; be called a fractal, for it also consists entirely of trapped ; inside points. With the < fmod > fill applied to it, the parent ; consists of a large crescent with the horns pointing east, the ; edges of the crescent lined with buds. Today's scene is located ; in the valley area of one of the second-order buds. ; ; When coloring the image, I used a little more care than usual. ; It shows in the result. One of the reasons I consider my FOTD ; images to be mathematical curiosities rather than works of art ; is that I so often lack the time to find and refine the best ; color palette for the images. I cannot consider something on ; which I do less than my best to be a work of art. ; ; But as mathematical curiosities, some FOTD images are truly ; unique. This is not surprising, since fractals themselves are ; unique. They come from nowhere, exist for a few brief moments, ; and unless recorded, return to whence they came. ; ; Though the appearance of today's image departs from that of my ; typical images, I rated it at an exceptional 8. The parameter ; file takes 14 minutes to run on my tired old machine. The GIF ; file of the completed image takes only a minute to download from: ; ; ; ; or from: ; ; ; ; Running the parameter file is more fun; downloading the image is ; more convenient. ; ; The near ideal weather here at Fractal Central on Sunday ; resulted in reasonably happy cats. They approved of the few ; patches of sunlight that filtered through the holly trees, and ; they approved of the light winds. They would have preferred the ; temperature to have been a few degrees higher than 52F 11C, but ; they held their complaints to a minimum. Their moods remained ; adequate well beyond their evening meal time. ; ; Today's weather will be similar, though with a few more clouds. ; The cats' day will likely be similar also. Until tomorrow, when ; the next glorious FOTD will appear, take care and be mod but not ; fmod. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ FMOD_Fantasy { ; time=0:14:01.30--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.50885461141383900/+0.003097982086237\ 17/2179214/1/-155/5.94581836543817133e-009 params=1/0.25/1/-0.25/0/0 float=y maxiter=1800 inside=fmod proximity=0.011 periodicity=10 colors=000iLJjMKkIGlFDmC9n96o32p53q63r74s84t95uA5v\ C6wD6xE6yF7zG7zH8zI8zK9zL9zM9zNAzOAzPBzRBzSCzTCzUD\ zVDzWDzXEzZEz_Fz`FzaGzbGzcGzeHzfHzgIzhIzhJziJyjKxj\ JwkJvjJukItkIsjIrkIrkHrkHqjHqjHpjGpjGojGojGojFnjFn\ jFmjFmiEliEliEliEkiDkiDjiDjiCiiCiiChhChhBhhBghBghB\ fhAfhAehAehAeh9dg9dg9cg9cg8bg8bg8bg8ag7ag7`g7`f6_f\ 6_f6Zf6Zf5Zf5Yf5Yf5Xf4Xf4We4We4We3Ve3Ve3Ue3Ud2Td2T\ d2Ud1Td2Td2Sd2Sd2Sb2Rc2Rc3Rb3Qb3Qb3Qa3Pa3P`3O`4O`4\ O_4N_4NZ4NZ4MZ4MY5MY5LX5LX5KX5KW5KW6JV6JVUJVUIUUIU\ UITUHTUHTUGSUGSUGRUFRUFRUFQUEQUEPUEPUDPUDOUCOUCNUC\ NUBNUBMUBMUALUALUALU9KU9KU8JU8JU8JU7IU7IU7HU6HU6HU\ 6GU5GU5FU4FU4FU4EU3EU3DU3DU2DU2CU2CU1BU1BU1BU2AU2A\ U3AU3AU4AU4AU5AU5AU69U69U79U79U89U89U99U99UA8UA8UA\ 8UB8UB8UC8UC8UD8UD7UE7UE7UF7UF7UG7UG7UH7UH6UI6UI6U\ RsmRsmStmStmTtmTtmUtmUumVumVumWumWumWumQtmIwmLwmNw\ mQwmSwmUwmXwmZwm`wmcwmewm } 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================================== ; ;