FOTD -- December 26, 2011 (Rating 7) Fractal visionaries and enthusiasts: The Christmas activity here at FC yesterday left me with too little time to create a proper FOTD. But today, we're back up and running with a remarkable scene in the 4-dimensional Z^2+C Julibrot. The scene is located in the Scepter Valley area at an angle oriented halfway between the Mandelbrot and Oblate planes. (The Mandelbrot orientation is determined by the real(c) and imag(c) axes; the Oblate, by the imag(c) and real(z) axes.) At first glance, the image bears little resemblance to either a Mandelbrot scene or a Julia scene. This is because it is a hybrid scene, half Julia and half Mandelbrot. Much of the unexpected appearance was created by the outside fill of 'bof61', which is responsible for most of the smoothly colored areas. The original name I gave to the image was 'Christmas Fantasy'. I changed it to "Seasonal Fantasy" to avoid offending the secular community. The calculation time of 2 minutes is a fair price for the image. To avoid the calculation, check the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> And be sure to check the image in the full splendor of high- definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original classic FOTD web site with all the FOTD images and discussions since April 1997, and also pictures of the fractal cats as well as the fractalist himself, may be accessed at: <http://www.Nahee.com/FOTD/> The weather today was uneventful and rather pleasant for late December, with partly cloudy skies and a temperature of 45F +7C. As for the fractal cats, after a day of getting into trouble with the tree and the wrappings, they had no energy to worry about the outside weather. They took it easy most all day. Their big excitement came when an orange tomcat we have named Marmalade passed by, marking the territory as he went. The humans spent the day recovering from the day before. The next FOTD will be posted in 24 hours. Until then, take care, and in the seventh grade, when I asked Sister Mary Thomas why heaven is invisible, she replied that if we could see heaven, there would be no need for faith. When I tried to say more, she told me to sit down and shut up. Her reply made no sense to me then. Today, after a half century, it makes even less sense. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Seasonal_Fantasy { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.742221/0/\ 16.848/1/-90/0 params=0/0/45/0/-0.75/0/-0.503/0/2/0 passes=t float=y maxiter=1000 inside=bof61 logmap=37 periodicity=0 colors=00030S0E_0E_0E_32R0E_1E_2E_33Q4G_5G_6GY34P8\ KY9KY8KY35N6OY6PY5QY35M7Xi5We5Wb15L4SY3QW2PR25L1LO\ 1JL1HK05K0GK0FK0EK05K0DK0CK0BK05K09K08K08K04K06K06\ K05K03J04I03H02G02F02E02D02C02B02A02B02C02702E0250\ 2402301201101001001201401602803A04C05E15G05I05K16N\ 48Q27T59W6AY8E_BHbDJbGMeIPgLTiNWkR_nWcqXerajwdnzel\ zktzqyzvzzizzszzszzqzzqzzpwzpwznwznwznwznwzjtqjtqj\ tqhtphtogqngqmeqkeqkeqkeqkbohbohbog`of`oe_le_ldZlc\ ZlbZlbZlaWi_Wi_Wi_UiYUiXUgXUgWSgUSgUSgUSgTPeRPeQPe\ QOePOePMbOMbOLbLLbLLbLLeKLbLLbLK_LJ_KIYKIYLHYKGWKG\ WKETIETJERJCRJCRJCPIAPJAOIAOJ8LI8LI8LI6KH6KI6II5II\ 5IK5IK5IL5HL5HL4HO4HO5HP4GP4GP4GR3GR4GT4GT3ET3FW3F\ W3EY3EY3DY2E_2D_3Db2Db2Cb2De2Ce2Cg2Bg1Cg2Ci2Bi2Bl2\ Al2Al29o29o08q18o19o29o2Al2Al3Bl4Dl4Di5Ei6Fi7Gi8Hg\ 9IgKIgKJeKKeKMeUOeUMbUPbUPbcRacQ_cSYcTWcVUcVSmWQmZ\ OmcMmhKzmIzrGzvEzzCzzAzz8 } 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=========================================