; Date: Sat, 17 Jul 2010 08:45:55 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 17-07-10 (Seahorse Madness [7]) ; ; Id: <1.5.4.16.20100717084556.137797c2@pop.mindspring.com> ; --------- ; ; FOTD -- July 17, 2010 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; NOTICE! Today's image will calculate correctly only with the ; new version of the SliceJulibrot4 formula, which is included in ; today's parameter file. If you have the old version on file, ; discard it and replace it with the new version. The new version ; of the SliceJulibrot4 formula includes the ability to control ; the escape radius with the imag(p5) parameter, which is an ; important part of today's image. ; ; All images created with the old version of the formula will run ; correctly with the new version, but some images created with the ; new version may not run correctly with the old version. If the ; image turns out looking like featureless chaos, it was run with ; the old version of the SliceJulibrot4 formula. The correct ; image consists of amber elements with blue highlights, and is ; not at all chaotic. ; ; The work rush continues here at FC, so today's image is another ; quick one. Believe it or not, it's a scene in the Seahorse ; Valley area of the Mandelbrot set. But instead of lying in the ; Mandelbrot orientation of the Julibrot, today's view lies in the ; Oblate orientation, which is determined by the imag(c) and ; real(z) axes. ; ; Actually, the escape radius of today's image is 0.5, which means ; everything should cut off at a radius of 0.7071 from the origin. ; But today's scene lies well beyond that distance, yet it is not ; cut off. This is just one more in the unending string of ; mysteries connected with fractals. ; ; The name "Seahorse Madness" refers to the crazy, very un- ; seahorse-like image. The rating of a 7 includes more math than ; artistry. The calculation time of just over one minute will ; pass in a flash. ; ; Perhaps the best way to see the image is to hop on out to the ; FOTD web site at: ; ; ; ; where it is posted in all its glory for instant admiration. ; ; Friday began sunny and hot here at Fractal Central. By 2pm the ; temperature reached 91F 33C. But a gusty thunder-shower moved ; in at 3pm, which dropped the temperature to around 77F 25C for ; the rest of the day. Occasional showers continued until night- ; fall. ; ; In the human department, the work was still at fever pitch. The ; fractal cats continued sulking because, with the humans so busy, ; they were not getting enough attention. The next FOTD will be ; posted in 24 hours. Until then, take care, and be there. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Seahorse_Madness { ;_use_new_version_of_formula ; time=0:01:11.51-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=0/-0.0611855/6.547727/1/-90/0 params=0/0/90/0/-0.752/0/0.5/0/2/-8.5 float=y maxiter=2500 inside=0 outside=atan periodicity=6 colors=000_uW_uX`uY`u_`u`ataatcbtdbtebtfWuePvdIwcB\ xb5ybDwcKvdRtdYseeqflpfsngzmgyldykaxjZxiWwhTwgQvfN\ veKudHudFpaHlZJgWKcTMZQNVNPQKRMHSHEUDBV88X45Yvvvut\ strqtposomsmkrkirjgqhepfbpe`ocZoaXn`VnZTmXRmWPhUNc\ SM_RKVPJROHMMGILEDJD9ICBJGDJJFJMHJPJJTLJWNJZPJaRJe\ TJhVJkWJnXLoXNpXPpXRqYTqYVrYXrYZsZ`sZbtZdtZfuZguTf\ sNeqHeoBdm5dl8ajA_hDYfFWeIUcKSaNQ_POZSMXUKVXITZGSa\ EQcCOfAMh8LiDOjIQkMSlRVmVXn_Zoc`phcqlerqgsuitthtth\ uthuthvsgvsgvsgwsgwsgxrfxrfyrfyrfyrfEHuDGsDFqDFoDE\ mDEkDDiDDhDCfDCdDBbDB`DAZDAYIDXMFWRHVVJVSRYQZ_NeaL\ mcJteMscOraRq_TpZVpXYoV_nTbmSdlQflOikMkjLniJphHrhG\ gcLX_QMVVBRZGPbLOeQNiUMlZKpcJshIwlHziKvgMreOnbQk`S\ gZUcXW`ZY__ZZ`_ZaaYbbXccXdeWefWfgVgiUhjUikTjmSknSl\ oRmpRglUbiWYfZTccNchIcmDcr8cv3cz5cz7cz8czAczBczDcz\ F_zGWvISsJQpLMjMJdNG_PCUQ9PR6JS3EU5DV7DW9DYBDZDD_F\ DaHDbIDcKCeMCfOCgQCiSCkUC } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } ; END PARAMETER FILE========================================= ; ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;