; Date: Mon, 04 Nov 2013 15:35:54 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 04-11-13 (Christmas is Coming [A-7,M-7]) ; Id: <1.5.4.16.20131104153732.29df4ccc@earthlink.net> ; --------- ; ; FOTD -- November 04, 2013 (Rating A-7,M-7) ; ; Fractal visionaries and enthusiasts: ; ; To create today's parent fractal I combined 1.75 negative parts ; of Z^(-4.5) with 3 negative parts of Z^(-1.75) and added (1/C) ; on each iteration. Calculating with the reciprocal of C usually ; turns the fractal inside-out, so that the negative exponents of ; Z create a lake rather than an island. In today's case however ; the parent does not follow the rules, and appears as a butterfly- ; shaped island with large black spots on its wing tips. These ; black spots are actually bays, and today's image lies deep in ; the northern valley of the northern bay. ; ; My extra coloring effort raised the original humdrum rating of a ; 5 to a respectable 7. The math rating of a 7 is based on the ; unusual doubly inside-out parent butterfly fractal. ; ; The name "Christmas is Coming" is a statement of fact that can ; be verified by a glance at the calendar. I chose the name ; because I felt a strong seasonal mood in the color scheme. ; ; The calculation time of 2-1/3 minutes is not too bad, but it is ; not all that great either. Fear not. The web sites are always ; close at hand. ; ; Relief from time distress may be found at the official FOTD web ; site at: ; ; ; ; where the finished image is posted. Classier variations are ; available at: ; ; ; ; ; ; ; ; The day began clear and calm, with a chilly temperature of 23F ; -5C, and progressed through a sunny morning and partly-cloudy ; afternoon, with a high temperature of 43F +6C. The older ; fractal cat, Nicholas, spent most of the time sleeping in my ; favorite chair, while the young kitten, Jasmine, who has almost ; recovered from her sprained arm, spent the time alternating ; between sleeping and playing with her catnip mouse. The humans ; passed the day doing what humans usually do, though I'm not sure ; average humans spend as much time on fractals as I do. ; ; The next FOTD will most likely be posted in 24 hours. If not, ; it will appear in 48 hours. Until next time, take care, and I ; will once again place my full faith in science when it can give ; a reasonably satisfactory reply to the question of why we exist. ; The usual scientific reply is to claim that the question is ; meaningless or to refer the questioner to the answers given by ; religion, even while hypocritically implying that religious ; belief is only a comforting superstition with no reality behind ; it. . . . ; ; ("We do not invent the things we say," the erudite scientists ; loudly proclaim, "we only pass on what we find to be true.") ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= ChristmasIsComing { ; time=0:02:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-1.725757937691/+1.963888438529/1.04341\ 5e+007/1/20/0 params=-1.75/-4.5/-3/-1.75/0/0/0/0 maxiter=3000 inside=0 logmap=331 periodicity=6 colors=000L0OK0NJ0MI0LH0KG0JF0IE0HD0GC0EB0CA099068\ 03700302200100000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0880880770660660550440440330330220110110000p`tlYph\ WleThaRdZOaVMYSJUOHQLEMHCJE9FA7B747323QKfPJeOJdOIc\ NIbMHaMH`LG_LGZKFYJFXJEWIEVzzzzzzzzzzzzzzzzzzzuxzs\ wzqpzoizm`zkTzpKzgIzoHzXGzjFzQFzgFzHFzbFrAMwWSk0Oq\ SL_AIiLEP4Ba28404W00900R40S20U0EV06Z05b05fh4je4nb3\ r_3uX3qcEmiOipZfvh_iYTXNMKCG82C6D94O62Z30h44d47`5B\ Y5EU6HQ6LN7OJ7RG8gF8wF7tN7rU6o`6mg5jn5hu4kk4na3qS3\ sIBfSIUaPHjKKZGNNC_CBYCAaCA`C9mC8_C8QC7QC6QC6QC5QC\ 4QC4QC3QC3QC2OB2NAORA1C02L92K92J82I84G76F78E6AD6VC\ 5EB5GA4I94K73M63O52Q42S31U21W10Y6S_5Ra5Qc5Qe5Pg5Pi\ 5Ok5Nm5No4Mq4Mr6Ls8Lt9KuAJvCJwDIxDIyDHzDGzEGzGFzIF\ zKEzMEzODzQCzSCzUBzVBzWAzX9zY9zZ8z_8z`7za7zb6zc5zd\ 5ze4zf4zg3zh2zi2zj1zk1zm0 } frm:MandAutoCritInZ {; 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)+(p4)), 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========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;