; Date: Fri, 22 Feb 2013 09:34:26 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 21-02-13 (In the Phantom [8]) ; Id: <1.5.4.16.20130222093311.2b87d8b4@earthlink.net> ; --------- ; ; FOTD -- February 21, 2013 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is a scene in yesterday's 'phantom' parent ; fractal, which was revealed by switching the value of initial Z ; of the Feb. 18 image to the second critical value of the ; generating function, which is -1. The location is near a larger ; minibrot in a tiny valley on the western shore line of the large ; western bay of today's parent. ; ; Today's parent fractal, which appeared as yesterday's FOTD, is ; quite unusual. It is filled with minibrots, but the minibrots ; are not the expected quadratic variety as they are in the other ; parent fractal of today's function. Instead, as is illustrated ; in today's image, they appear to be of an order somewhere around ; 2.5. Actually, today's entire parent is strange, and deserves a ; more careful examination, which I will do in the next few days. ; ; The rating of an 8 is divided half-and-half between mathematical ; interest and fractal artistic value. The name "In the Phantom" ; describes the location of today's scene -- in a fractal that ; first appeared as a buried 'phantom' fractal in the background ; of the image for February 18. ; ; The calculation time of 6-1/2 minutes is slow. Checking the web ; sites can cut the wait to seconds. ; ; The finished image is posted at: ; ; ; ; Variations in hi-def are at: ; ; ; ; The back images are at: ; ; ; ; A mix of sun and clouds, complete with a few flakes of snow, ; made today a typical sample of midwinter weather here at Fractal ; Central. The temperature of 34F +1C was almost exactly average ; for the day. The fractal cat spent several hours on the shelf ; in the southwest window, trying to enjoy the off-and-on sun, ; while the humans passed the day working. The next FOTD will be ; posted, that much is certain. The only question is exactly when ; it will be posted. Until whenever, take care, and have fun. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= In_the_Phantom { ; time=0:06:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=cosxx inside=1 center-mag=-1.759337223588773/+0.04880086507460096\ /1.244e+010/1/-97.5/0 params=-2/2.3/1/4.6/-0.02/0/\ -1/0 float=y maxiter=5400 logmap=470 periodicity=6 colors=000F0F64X85TA6PC7LA8HD9EHAGHBIICKHDMD0OD4KA\ 5PDBTHOXKR_OUcRXgV_k_`uZaqYanXbjWbgVbdUc`TcYScVRdR\ QdOPeKOeHNeEMfALf7Ht0Lf4PT7TFAX1DW6FVAGUFHUJITNJSS\ LRWMR_NQdOPhPQkOPlQPmSPmTPnVOoXOoYOp_OqaNrdOqbPq`Q\ pZRpXSoWToUUnSVnQWmPXmNYlLZlJ_lIdhMhdQlaUpYYtUaxRd\ neUzzHzzLzmOzcRqDRpTTczuktksnbqqNoYKrFcuPiDqCEpBGo\ 9Hm8Jl7Kk6Mi5Nh4Ki0Og3Re6Uc9XaC__EbYHeWKhUNkSQnRSn\ QRnQRnPRnPQnPQnOQnOPnNPnNPnNOnMOnMOmNRnMPnMOnLNnLM\ nKLoKKoJJoJIoIHoIGpHFpHEpGDpGCpFBu92pFAkLIfQQaWYyI\ NjSXX`eIjoAzz4sxczz8luAzzCwqCzzEwpFzzGsjIpgJndKlaL\ tZNfWOeTPcQR`NSZKTXH850JI7UVEleDgfHcgKZhNVhQRiTMnX\ Ij_Dkb9leCcq5oz8jfBhdEgbHeaKj_NbYQ`WT_VW`TZXRaVPdT\ OgSMjQKmPJkSLiUNhWPfYQe_ScaUbcWyeXzgZzi`zkbzmczoez\ qgzshzkgzcfzWezOdzGcz8czAdzBezDfzEfzFgzHhzIhzJizLj\ zMkzNkzPlzQmzWozRmzQlzOkzNkzMjzLjzKizJizIhzHhzGgzF\ gzEfz6ozAjzDfzHbzhlzfhzed } 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 ;