; Date: Tue, 02 Mar 2010 20:03:15 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 03-03-10 (Octagon Tendencies [!!]) ; Id: <1.5.4.16.20100302200432.2bbf6308@pop.mindspring.com> ; --------- ; ; FOTD -- March 03, 2010 (Rating !!) ; ; Fractal visionaries and enthusiasts: ; ; Yesterday's image showed a Minibrot in the Z^(2.003)+C Mandeloid ; with strange rectangles surrounding it. Today I checked the ; Julia set of one of these rectangles. ; ; The rating of a !! (double bang) reflects how I felt when I saw ; the Julia set. Instead of the Julia rectangle, I found a near- ; perfect octagon. To add to the surprise, the Julia octagon is ; surrounded by the rectangles that were expected all along. All ; I can say about the situation is 'who knows what wonders lurk in ; the hearts of fractals'. ; ; I'll check further into this situation tomorrow, and if anything ; interesting turns up, (most likely it will), it will appear as ; tomorrow's FOTD image. ; ; Today's image is named "Octagon Tendencies". A quick glance at ; the image will reveal why I chose this name. ; ; The calculation time of 2 minutes is well within reason. The ; trip to the FOTD web site at: ; ; ; ; to view the finished image is equally reasonable. ; ; For the next 2 weeks or so, the FOTD web site can be accessed at ; both the old address given above and the new address, which is: ; ; ; ; after that, the old address will be discontinued. ; ; Cloudy skies here at Fractal Central on Tuesday were made more ; pleasant by the relatively mild temperature of 46F 8C. At least ; the fractal cats assumed it was so as they spent several hours ; on the window shelf even though no sunlight was falling on it. ; My day was uneventful though a bit busy. ; ; The next FOTD will be posted in 24 hours, come heck or tsunami. ; Until then, take care, and rational skeptics know they are right. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Octagon_Tendencies { ; time=0:01:59.34-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/30147.06 inside=0 params=90/0/90/0/-1.743397953167458/\ 1.66204665216e-005/0/0/2.003/0 float=y maxiter=1800 colors=000pYRr`TsdVthXulZvo`vmavkbvibvgcvedvddvbev\ `fvZfvXgvVhvUhsRiqPioNilKijIihGieDicBia9i_7iZAfZCc\ YE`YGZXJWXLTWNQWPOfQMXVWN_dDdmHYbKRTPXUTaVYfWakX_l\ WYlVWmVUmUSmTQnTOnSNnSLoRJoQHpQFpPDpOBqO9qN8qN7_P7\ YQ7WR7US7ST7QV7OW7MX7JY7DZ8GX8IW8LU8NT8QR8SQAVOEXN\ I_LMaKQaIY_HbYFgWElU9qS5mQ6gP7aO8XN9RLAMKBKJCKIDK9\ 7K11K34K56K78K9AKBCKDFJFHHHJFJLEKNHNMKQMNTLQWLSYKV\ `KYcJ`fJbhIekIhnHkqHnvDmsHlpLlmPkkTkhXje`jcci`giYk\ hWohTsgQwgOzbMuZKpVIkRGfMEaICXEASA9OAANBBLBCKBDJBE\ IBFHBGGe`mZWfTS_NOTHKMLL9JKBHJCFIDDHE1cA2aB3_B4YC5\ WC5UC6SD7RD8PE8NE9LEAJFBHF85L98JAAIACHBEGahXZeVXbT\ U`SSYQPVONTNKQLzNJzLIzIGzbpzXfzRYzzOzzJzzIzzIzzHzz\ HzzGzzGzzFzzEzzFzzFzzFzzFzzFzzFBOFBKFsGAoGBlGBhGCe\ GCaGCZGDVGDSGEOGELGEHGFEGF1sA4iC6_D9QEyFewGduGcsGb\ qGaoG`nG_lGZjGYhGXfGWdGVcGUaGT_GSYGRWGQVGPTGORGNPG\ MNGLLGKKGJIGIGGHmMLnQNoUP } 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint