; Date: Tue, 15 Sep 2009 19:22:34 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 16-09-09 (Conquest of Infinity [7]) ; Id: <1.5.4.16.20090915192511.2a974ccc@pop.mindspring.com> ; --------- ; ; 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: ; ; ; ; 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========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint