FOTD -- January 27, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a Julia set of the fractal that results when both Z and C are raised to the power 1.4142 and multiplied together, and then C is added. It consists of gaudily colored but broken concentric circles with an interesting area of chaos toward the center. Most of the effect was achieved by calculating the formula with the outside set to 'tdis'. The chaotic parts of the image are filled with curious but hard-to-find Julia basins, one of which appeared two days ago as the 'Hairy Caterpillar' FOTD for January 25. I gave the image the name "Orb". The name was inspired by the nature of the image itself, which basically consists of nothing but circles. After a modicum of consideration, I rated it at a not-bad 7. The colors are a bit too brilliant, but still striking. The 'passes=b' option is fastest with this image, rendering the entire scene in only 11 seconds. This option often is the fastest, but it must be used with caution because it can easily miss important isolated features. The render time of under 11 seconds is true only when the image is rendered with the passes set to 'b'. I have discontinued the overall worth rating, which was weighted too heavily in favor of the render time. No one paid much attention to it anyway. The only important thing is the appear- ance of the completed image, which is covered in the rating that appears in the subject line of every FOTD. The image is a very fast one. By the time this letter is read, it should already be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The continuation of the philosophy that we have been waiting for appears in the philofractal version of today's FOTD discussion. The sky was mostly cloudy, but the temperature reached a high of 47F 8C here at Fractal Central on Wednesday. Only the wet sloppy snow kept the fractal cats on the porch. Today is starting sunny but much colder. The temperature is down to 10F -12C, and the snow has frozen rock hard. I wonder what the dynamic duo will make of it. My only problem is where to find the next FOTD. The search will begin in a few hours. Until that next FOTD appears, take care, and be serene as a fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Orb { ; time=0:00:10.82--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=mult-xy-zw-compjb function=ident/flip center-mag=-0.00542788/-0.101983/0.1702254/1/40/\ -3.21104948186601e-011 params=90/90/1.4142/0/1.4\ 142/0/0/0/-0.542983266/0.017693381 passes=b float=y maxiter=5000 inside=255 outside=tdis periodicity=10 colors=000sCzqEzoGzmIzkKziMzfOycRx`UwYXvU_xRbwNdvK\ epLdnMbjM_fNXbNVZOSWOQSPNOPLKQIGSGDWFBaE9gF7kC5jH8\ hMAfRDdVFbYHeZFhZEkZDnZCqZBsZAUVG4RL8VKBYJF`IIcHMf\ GPiFQkHQlJRmLRnNSoPSpRSrTTsVTtXUuZUv`UwbSscQodOkeM\ gfKcgI_gGWhESiCOjAKk8Gk7Fj7Fi7Fh6Fg6Ff6Ee5Ed5Ed5Ec\ 4Eb4Da4D`3D_3DZ3DY3DY9EWFFVLGURHSXHRbIQhJOnKNtKMsL\ OsLQsLSsLUsLWlRXeWYZ`YSeZLjZEo_7t_CrYHqWMpUQoSVnQ_\ mOclMhkKmjIqiHbaoeaqhaskau6Oi7Oo7OuCQtHStMTsQVsVXs\ _Yrd_rh`rbdmXhiRkdLo`FsW9vSLoZXieifogcleajc_gaYe_V\ bYT`WRYUPWSNTQKROIOMGMKEJG9IICHKFHMIGNLGPOFRRFTUEU\ XEW_DYbD_eC`hCbkBdnBfqALHRgsAdeCaTEWDFZGGaIHdLIgNJ\ jQKxNMlSL`WKQ`KEdJ3hJ8eKDcLHaLMZMQXMVVNeZTZTNTNHMH\ BGB5A50D72F83H94KA5MB6OC8RD9TEAVFBXGC_HIbHOeHUhH_k\ HenHkw8xpHpjQhcY`YfTSnMXhS`bXeXaiSgnMlrGqz7yvBvrEs\ nIpjLmfPjlOrcSgVVYMYOIOCE`EE`EEaEDaEDbEDbECcECcECd\ EBdEBeFBeFKKkKNiKQfKTdKWb } frm:mult-XY-ZW-compjb {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5: z=z^p2*(c^(p3-1))+c, |z| < 400 } END PARAMETER FILE=========================================