; Date: Mon, 22 Dec 2003 10:56:54 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 22-12-03 (Fornever and Never [8]) ; Id: <1.5.4.16.20031222105846.0d9f39de@pop.mindspring.com> ; --------- ; ; FOTD -- December 22, 2003 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; When I first came upon today's image, I rated it a 4, and almost ; decided to relegate it to the trash-bin of forgotten fractals ; that never made FOTD. But before deleting it, I tried a few ; thumbnail images of the same scene, using the various outside ; options. Most options produced little more than total chaos, ; but the 'tdis' and especially the 'fmod' options created interes- ; ting miniatures. I chose the 'fmod' option. ; ; The resulting image consists of the overlapping bubbles that ; appear so often with the 'fmod' option. Some bubbles are nearly ; circular, while others are peanut-shaped. All the bubbles put ; together create an image with an unusually vivid three-dimen- ; sional effect. And the traditional Mandelbrot midget is right ; where it belongs, at the center of the frame. ; ; The parent fractal of today's image, which was created by ; combining various negative portions of Z^3 and Z^5, appears to ; the visual sense as a Mandeloid rotated -90 degrees, with more ; extra bays and valley than one can shake an iteration at. The ; scene of the image lies in a supernumerary valley on the south- ; west shore of a smaller Mandeloid located on the main (negative- ; imaginary in this case) stem of the large Mandeloid. ; ; The rating of an exceptional 8 might be a bit overdone. I ; really did not give the image the attention to the coloring that ; a truly exceptional fractal should have. ; ; When I named the image "Fornever and Never", I had a reason. ; Unfortunately, I have now forgotten that reason. But it's an ; interesting name for an interesting fractal. And the waiting ; time of 10 minutes can be eliminated by downloading the comple- ; ted GIF image from Paul's web site at: ; ; ; ; Saturday and Sunday were sunny but chilly days here at Fractal ; Central, with the temperature in the 30'sF, around 2C. The cats ; spent only a short time outdoors on both days. The rest of the ; time they spent stretched on their blanket by the large radiator ; in the living room. The tuna kept them happy when the rest of ; the world turned bleak. Today promises to be much milder. The ; fractal cats deserve the break. ; ; For me, it's work before fun. Until the next FOTD appears, most ; likely but not certainly 24 hours from now, take care, and watch ; your fractal language. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Fornever_and_Never { ; time=0:10:03.30--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.03748528249124874/-1.214425735677524\ 00/2592058/1/65/1.0046787402018e-008 params=-0.8/3\ /-0.3/5/0/0 float=y maxiter=1500 periodicity=10 proximity=0.161 outside=fmod logmap=yes inside=0 colors=0004402401400400400400400400400400400400400\ 40060060060070170470671882A84D86G87I99L9AO9CR9EUAG\ XAH_AJbALfCNjCQmCRpCTnAUn9Wn8Wn7Xn6Xn4Zn4Zn4_n2_n1\ am0am0bm0bm0dm0dm0fm0fm0hm0hm0jm0jk0fk0dk0ak0_k0Zk\ 0Wk0Uj0Tj1Qj2Oj4Nj4Jj6Ij7Gh8Eh9DhAAhC9hD8hE6hG4hH4\ _N9UREOWJI_QDdW8ja4nh0tn0yv0zz0wv0pp0jj0bd2XZ4TU7N\ O9HJCCEE7AH47I2DJ1IJ0OL0UL0_N0XN0UN0RN0QN0NN0JN0IN\ 0GN0DO0CO09O07O06O04O01O00O00O00O00N00N20N60LA1LG2\ LJ4OI4QI4RI4TH6UH6XH6ZG7_G7aG7bG7fE8hE8jE8kD9mD9pD\ 9rCAtCAvCAwCArCCnCDjCDfCEbCEZCGWCGTCHOCHLCIICIECJC\ CJ9CL6CL4CN1CN4EQ8HRAJTENWHQYLT_OW`TZbXbfafjekmloq\ psuuwwwyztwzttyrpwolujgrdan_VhUPcQGYJAUG6RC1O78U4G\ _0Of0Wk0dr0ny0jzLdUzC1zECzGOzIazJntWkbfhOtdCzbEzdG\ zfHzfIzhLzjNzjOzkQzmRzmUzjWwfXpd_haaa_bUXfOWhHTjCR\ hEQfGQfHOdJObLNbNNaOL_RL_TJZUJXWIXZIW_HUaHUbHXbJ_b\ NdaQhaTkaUn_Xr__740640440 } 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================================== ;