FOTD -- July 14, 2003 (Rating 4) Fractal visionaries and enthusiasts: The telephone problem here at Fractal Central has finally been fixed. The repairman got here this morning while the problem was evident, found the problem in the line and cured it. Murphy's law has been defeated -- at least for one time. Murphy's law is strange indeed. It never plagues other people. It does not work unless one is paying attention to it. It never works when the intent is to scientifically prove that it exists. Yet we all know that it does indeed exist, and is most likely to appear when it can wreak the most damage. It's a mystery. Today's fractal is no mystery. It's a picture of a hole deep in a valley of the Z^5+C Julibrot. Julibrots are four-dimensional things that contain holes. These holes are neither Mandeloid midgets nor Julia sets unless they are sliced in the Mandelbrot or Julia directions. Since today's scene is sliced in an oblique direction, it is nothing but a hole, perhaps more accurately described as a slit. But the spiral pattern around the hole, most of which has been cropped off, is almost intact, and is the same pattern we would see if the hole were sliced in the Mandel or Julia directions. When I named the image, I gave it the name "The Odd Way Out". I must have had a reason for choosing such an irrelevant name, but if so, the reason totally eludes me. I guess the meaning will have to take its place beside songs such as "Stairway to Heaven", which appear to have a hidden meaning, but most likely do not. Since I was several hours working with the phone man, I had little time to properly color the image, and as a result, it rates no higher than a 4. The render time of 16 minutes is slow, but can be avoided by downloading the already-rendered GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Sunday proved to be the most pleasant day of the summer here at Fractal Central, with deep blue skies, puffy white clouds, low humidity, and a temperature of 83F 28C. The dynamic fractal cats took full advantage of the pleasant conditions by spending several hours in the yard. When evening came, they settled into their resting places without complaint. But this morning, rain is once again in the area and more is forecast. The quality of the cats' day is yet to be determined. As for me, I've got work to do. Until next time, take care, and stay connected. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ The_Odd_Way_Out { ; time=0:16:49.14--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.00000000002679182/+0.000000000001065\ 41/1.118642e+011/0.01766/-2.2772331070925298/88.98\ 76619515795966 params=45/-120/5/0/0.29004780321703\ 86/0.7787549589942936/0.2900478032170386/0.7787549\ 589942936 float=y maxiter=2200 inside=0 logmap=570 periodicity=10 colors=000XU2XU1VV3UW4TX5SY6QY7PZ8O\ _AN`BMaCKaDJbEIcFHdHGeIEeJDfKCgLBhMAhN9iO9iP9iP9iQ\ 9iR9iR9iS9jS9jT8jU8jU8jV8jW8jW8kX8kX8kY8kZ7kZ7k_7k\ `7k`7la7la7lb7lc7lc6ld6le6me6mf6mf6mg6mh6mh6mi6mi9\ jfBhdEfaGd_JaXL_VNYTQWQSTOVRLXPJZNHaKEcICfG9hE7jC5\ iE6iG6iI6iK6iM7hO7hQ7hS7hU8hW8gY8g_8ga9gc9ge9fg9fi\ AfkAfmAfoAeoCeoEeoGenIdnKdnMdmOdmQcmScmTcmVcmXbmZb\ l`blbbldalfalhaljalk_igZgdYeaXcZV`WUZTTXPSVMQSJPQG\ OODNMAMK7OL6PL6QL6RL6SL6TL6UL6VL6XL5YL5ZL5_L5`L5aL\ 5bL5cL5bN6bO7bP7bQ8bR9bS9bTAbUBbVBbWCbXCaZDa_Ea`Ea\ aFabGacGadHaeHafIagJchUbiUbjUakUalT`mT`mT`mT_mS_lS\ ZlSZkRYkRYkRXjRXjQXiQWiQWhQVhPVhPUgPUgPUfOTfOTfOSe\ OSeNRcNRcNRbNT`OUYPVWQWTRYQSZPT_NU`LVbJWcIXdIYeHZf\ F_hF`iDbjBekAhm7kn4no3qp4tq6wp8zoAzoCznEznGzmIzmKz\ lMzlOzkQzkSzjUzjWziYzh_zhazgczgezfgzfizekzemzdmzdm\ zcmzcmzbmzamzamz`mz`mz_mz_mzZmzZmzYmzYmz } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE==================================