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: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 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: <http://www.Nahee.com/FOTD/> 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=========================================