FOTD -- June 26, 2008 (Rating 8) Fractal visionaries and enthusiasts: My thoughts today are rambling, but here goes: Today's image introduces us to a higher fractal reality. Yes, I know that skeptics amd materialists grow uncomfortable when the subject turns to metaphysical philosophy, which they distrust. But I am fascinated by metaphysical things, particularly the things commonly known as paranormal, some of which I have discovered in recent years to be true. This interest in the paranormal goes back to the seven days immediately preceding 9-11-01, when I had seven consecutive precognitive dreams that changed me from a questioner to a believer, or more accurately, a knower.) The TV channels are filled with not-too-convincing shows about paranormal things such as Astrology, ghosts and fortune telling etc., but where are the shows about fractals -- things that do not exist in the normally accepted way, yet can still be object- ively pictured with the correct equipment? I can remember only one or two TV shows devoted entirely to fractals, and they were aired many years ago. Perhaps people are now more concerned with alien space ships and getting a message from the recently departed uncle George than with that dull mathematical stuff. Or maybe things are not so bad, and there actually are a few hard science channels that I have yet to hear of which actually program real rational science. Of course, if all the paranormal stuff is for real, which it very well might be, then it is the hard-core science channels that are behind the times when they try to explain everything in a common-sense rational way. Now back to the fractal at hand. I named today's image "A Higher Reality" in recognition of the higher realities that visionaries, including the fractal variety, sometimes experience, and also the fact that the minibrot in today's image is of an unusually high order. And yes, get those skeptical knees jerking in disbelief. By higher realities I do mean higher spiritual planes as depicted in occult lore. Today's image lies on the main spike of the parent fractal, which on the surface resembles a Mandelbrot set but deep inside has order-12 characteristics. It is located a short distance east of the large main-spike minibrot, which must be seen to be believed. With the DivideBrot2 formula, the order of the deep minibrots is the sum of the absolute values of the real and imaginary parts of the p1 parameter. I rated the image at an 8, since it's just about the best order-12 minibrot I have ever seen. The calculation time of 42 seconds is one of the briefest of all time. Of course, nothing could be briefer than the few seconds required to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image there. Another near perfect day prevailed here at Fractal Central on Wednesday. I knew the day was near perfect when it earned the seal of approval of the fractal cats, who enjoy lots of sun and a temperature around 82F 28C. In my departmant the day was suitably busy. Tomorrow will not only likely be the same, but it will also bring another FOTD. Until then, take care, and I have found that it is indeed possible to enjoy rational science, which can demonstrate the truth of its statements, and at the same time know that some claims of the paranormal, which are scientifically impossible, are true nevertheless. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= A_Higher_Reality { ; time=0:00:42.08-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot2 center-mag=-17.30747127039\ 474/0/9.789325e+011/1 params=2/-10/10/1500 float=y maxiter=5000 inside=0 logmap=139 symmetry=xaxis periodicity=10 mathtolerance=0.05/1 colors=0009FWAFYBGZCH_DI`EIbFJcGKdHLeILgJLiKLkKLmN\ KoQJpSIpVHqXGp_GpaLpdQqgVqi_sldsnitqnusszvxzxzzszz\ zzzzzzzzzbzzZzzVxzRszNszIszEszAsz6sz2sz9szGszNoPUn\ U`m_gldnkiujnhp`WvNIz7Jz9KyALvBMrCNoDOlFPhGQeHRbIS\ ZJTWLUTMVPNWMOWJPWJPXJQXJQXIRXIRYISYISYHSZHTZHTZHU\ ZGU_GU_GVaEY_GV`FW`FW`FW`FXaEXaEYaEYzzzzzzzzzzzzzz\ zzyzwtytrwqpuomsmkqlhojflicig`ffZcdX`cUZaTYZQYXNXX\ KXVIWVGUTESSDQQBOP8OQ6RTCTW9W_9YbE_cJfbIgbHlaGsB08\ C09D0AD0AE0BE0BF0CG0DG0DH0EH0EI0FJ0FJ0GK0HK0HL0IM0\ IM0JN0JN0KO0LP0LP0MQ0MQ0NR0OS0OS0PT0PTEQUGQVLRVQSW\ VXW_aXdfYikYnoZsszxWzzWzzXzzXzzYzzYzzszzszzszzszzs\ zzszzszzszzszzszzszzszzszzszzszzszzdzzdzzczzczzbzz\ bzzazzazz`zz`zz_zz_zzZzzZzzYzzYzzGzzGzzHzzHzzHzzIz\ zIzzJzzJzzJzzKzzKzzLzzLzzLzzMyzMxzNwzNvzNuzOszOqzP\ ozPmzPkzQizQgzRezRczRazS_zSYzTWzT`z7Yz9UzBRzDOzFLz\ HHzJEzLBzN8zP5zR6zT7zU8zV } frm:DivideBrot2 { ; Jim Muth z=0, c=pixel, aa=real(p1), bb=imag(p1), dd=real(p2), ff=imag(p2)+100: z=z^aa/(z^bb+dd)+c |z| < ff } END PARAMETER FILE=========================================