FOTD -- September 16, 2009 (Rating 7) Fractal visionaries and enthusiasts: Back in my wonder years I sometimes wondered how long it would take a space ship to reach infinity if it traveled at infinite speed. Sometime later I realized that the speed of light is in effect infinite speed, since at light velocity the spatial direction in which an object is moving contracts to zero, and the trip, however long from our viewpoint, is accomplished instantly. I have yet to decide how long it would take to reach infinity at the speed of light, but I now suspect the question is a wrong one, based on a wrong assumption. One thing certain however is that from a photon's point of view, the photon does not exist at all. However great the distance it travels from our point of view, in the photon's own world it is absorbed the same moment it is emitted. With a magnitude of over 2*10^(13), today's image is as close to infinity as one is likely to come with the MandAutoCritInZ formula and the Fractint program. The magnitude inspired the name "Conquest of Infinity". Luckily, the mathtolerance entry makes such an extreme magnitude reachable. There is a minibrot at the center, but it is far beyond resolution and I'm not sure of what order it is. The parent fractal has Z^2, Z^3, and Z^6 minibrots in the vicinity of today's image, so who knows what lies unseen in the depths. The rating of a 7 is above average. We have had many ratings of 7 recently, so many in fact that it is starting to become boring. The calculation time of 2-1/4 minutes is reasonable for those with some time to spare. Those with no spare time on their hands may escape the task of calculating the included parameter file and enjoy the image by viewing it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The next several FOTD's will explore some of the fractal craziness in the area of the parent fractal in which today's image lies. It makes no sense at all to see an order-6 minibrot in a fractal created by combining Z^4 with 2 parts of Z^3, but take my word, in today's parent fractal it does happen. Well, I guess anything is possible in the world of fractals. Sunny skies and a temperature of 79F 26C made Tuesday a near- perfect day here at Fractal Central. The fractal cats agreed, and if it had been a bit cooler, they would have spent the afternoon on the sunniest shelf in the southwest window. My day was average. With only a little luck, tomorrow will be the same. The next FOTD will be posted in 24 hours. Until then, take care, and all too often one man's wisdom is another man's nonsense. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= ConquestOfInfinity { ; time=0:02:18.74-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.3517738391872782/-0.0010203750647082\ /2.23271e+013/1/-177.5/0 params=1/4/2/3/0/0/0/0 float=y maxiter=1600 inside=0 periodicity=10 mathtolerance=0.05/1 colors=00054G228`ZAVL8QJ7LI5FF4AA2551cHpUCbK8QA4Dm\ 2zP1V62Z51T41N31H20B105AHS7CL58E247QhmK_cFRUAIK59A\ zPfzGSc8EpbHxGsU8S5OnUDgOAZI7QC5H628mSyNEJF9C746h`\ X`URUOMMIGFCB765Gp5AZ35H1TWNOQJJLFEGB9A7c5czUzkOj_\ IZOCNC6BwmAof8h`7`V6UP5MI3FC2PumztICnmzhJEbmzXJGRJ\ HLJjEoiHjiJfhLbhNZgPVgRRcSN_TKWUGSVDMPKGKRAFY4Ad88\ _B7VE5QI4LL2GO1BR06YUJdwWWkPr4bO_JGOC8C656E45C34A3\ 38237125113001zm0zdVzXPzPJzGCz86gwrZkgQ_XHOM8CBrzQ\ hsL_fHRXDII8994m`rfWk`RdVNYPIRIDKC9D646dtfZl`UeWPZ\ QKSLFLGAEA575BzL9oH7eE5VA3L71A3szJkqGchDW_AOR8GI58\ 92RMyNJqKGiGDaDBVA8N65F327FI2CF1AC1791560230AM08J0\ 7G06D05B0380250120JzkEj_9VO4FCrigjb`bWVVQPNJIFDC76\ 69LF7HC6EA4A7375132NoZIdSDVL9KE4A7ejmX`cPSUGIK89At\ LCjHAaE8SA6J74932SEDLA9E76733zCksA`c9WX7QR6LK4GD3A\ 615JfeEWV9LL4AA4Vf3Q_2MU2HO1DI18C046TV0OQ0KM0GH0CD\ 0880440rc1RK0GCmDAdA8X86P } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================