; Date: Fri, 13 Dec 2013 14:33:27 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 13-12-13 (Four Calling Birds [A-8,M-6]) ; Id: <1.5.4.16.20131213143333.2a4f4ae2@earthlink.net> ; --------- ; ; FOTD -- December 13, 2013 (Rating A-8,M-6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is named "Four Calling Birds", the gift given on ; the 4th of the 12 days of Christmas. The reason for such an ; unlikely name is that calling birds, whatever they might be, are ; as rare as actual material fractals. This ambiguity is very ; strange, since the other 11 gifts, as unlikely as they are to ; actually be given, are at least easily identifiable. ; ; Today's image is not ambiguous. It lies in the parent fractal ; that results when 4 negative parts of Z^(-1.3) are combined with ; 0.8 negative part of Z^(-7.6) and (1/C) is added on each ; iteration. The resulting parent fractal is a typical double ; negative thing with a north-south string of large bays and a ; large fractal 'fan' extending to the east. There is a small but ; prominent Mandelbrot set at the eastern edge of the fan's blade, ; with a large connected ring extending on east beyond the M-set. ; Today's scene lies in the East Valley of this M-set. ; ; The art rating of an 8 is earned by the very feminine soft ; but subdued pastel colors of the image. The math rating of a 6 ; is held down by the familiarity of the math tricks involved. ; ; I am sometimes asked where my color palettes come from. The ; answer is that I create them myself by working with the basic ; color palettes supplied by the Fractint program, just as an ; artist creates the colors of his paintings from the color ; pigments he buys at the art supply shop. ; ; The calculation time of 3 minutes borders on slowness, but the ; time will pass quickly once the lovely pastel shades come into ; view. Calculation may be avoided as always by checking the web ; sites. ; ; The calculation-free life is available on the internet at: ; ; ; ; ; ; ; ; ; ; A mix of clouds and sun with a high temperature of 34F +1C and a ; lighter wind made today reasonably pleasant here at Fractal ; Central. The forecast is for heavy snow tomorrow however, so we ; shall see how long the pleasantness lasts. The fractal cats had ; an average day, Jazzy wanting to play with Nico and Nico putting ; her off because he did not want to play. The humans had a ; reasonably quiet day, but there are still those remaining gifts ; to find and purchase. ; ; The next FOTD will be posted when it is. For a more specific ; estimate, check back frequently. Until whenever, take care, and ; the first person to tell me the scientific name of a calling ; bird and send a photograph will have a fractal named after them. ; (I know that most birds call with their songs, but I want to ; know what particular species of bird the song 'Twelve days of ; Christmas' refers to.) ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Four_Calling_Birds { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+4.115654948465172/+1.200069830341015/\ 208872.7/1/-60/0 params=-4/-1.3/-0.8/-7.6/0/0/0/0 maxiter=2500 inside=0 logmap=259 periodicity=6 colors=00043F03F43F03F34E04E44E04E45E25E55E45E66D6\ 6D86D86D97DA7D98DC7DAAFBBHADJBELBGNBHPBJRBKTBMVBOX\ BPZBR_ATaAUcAWeAXgAZiA`kAamAcoAeqAfsAhuAivBgtCfrDd\ pDcoEamF`kG_iGZhHYgHXfIWeJVcKUcLTcMScNRcOQcPPcQOcR\ NcSMcTLcUKcVKcWLcWLcWLcWLcWMcWMcXMcXMcXMcXNcXNcXNc\ XNcXNcYOcYOcYOcYOcYPcYPcYPcZPcZPcZQcZQcZQcZQcZRcZR\ d_Re_Rf_Rg`ShaSibSjcSkcSlcTmcUmcVmcWmcXmcYmcYmcYmc\ YmcYmcYmcYmcYmcYmd_mc`me`mcameamd_ngaof`phasf_uh`t\ h_sh_sgZrgZrfYqfYpdXpeWocWocVnbVnbUm`UlaTl_Tk_SkZR\ jZRiXQiYQhWPhVPgVOgUNfTNeTMeSMdRLdRLcQKbPKbPJaOIaN\ I`NH`LXLJVKHTJFRJDPIBNI9LH7JH5HG3FGAHFGIEMKESLDYMD\ AYVAWZKVbK_fU_iUdzcrzcrzUhzUhzUcz5cz6cz7czUMoULzUL\ lBLzUKiUKzUKfNMKKMLINNFOODOQAPR8PS9RT9SU9TU9UV9WV9\ XX9Z_A`bAbeAchAekAfnAhqAitAjwBlzBmzBnzBozBpzBqzBrz\ BszDtzEuzGvzHwzJxzKyzMzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 ;