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: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 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 20.0 PAR-FORMULA 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 20.0 PAR-FORMULA FILE==================================