FOTD -- September 18, 2005 (Rating 7) Fractal visionaries and enthusiasts: Something is wrong with today's image. It is actually part of the Mandelbrot set, but nothing in the M-set looks quite like this. The image looks as though it might be part of a fractal created by some exotic formula. The problem lies in the bailout radius, which in today's image has been reduced to 1. When the bailout radius is reduced to less than 4, the M-set is simply not all there. Some points of the M-set that are normally trapped do wander beyond a radius of 1, and when the bailout radius is set to 1, these points are mistakenly plotted as escaping points. Other points are plotted as escaping after too few iterations. A bailout of 1 removes the entire negative stem of the M-set and a good part of the large period-2 bud, while the part of the set that remains is strangely changed. The points that are plotted as escaping after too few iterations form bulging rounded patches. In today's image, these patches plump up the normally zig-zag filaments in the Siegel-disk area of the M-set, rounding them into the sinuous, strongly colored, curving lanes we see in the image. Today's image is hyper-something, but I can't decide what. I let the name go as "Hyper-Something". The rating of a 7 might be a bit inflated. The coloring isn't really that great. But there is no doubt of the render time, which is a speedy 3-3/4 minutes. The best part of all is that even the minor task of rendering may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the finished GIF image from there. As I suspected might happen, no rain fell here at Fractal Central on Saturday, but the temperature reached 90F 32C, and this was too warm for the duo of fractal cats, who spent most of the day indoors on their air-cooled shelf by the window, watch- ing the birds. Today is starting clear and somewhat cooler. Things are looking better for the duo. For me, it looks like I might have to go along on one of those antiquing expeditions. But regardless of what else happens, the next FOTD will appear in 24 hours. Until then, take care, and don't get hyper. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Hyper-Something { ; time=0:03:47.72--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-0.33666589415234680/+0.610402260976961\ 00/1629581/1/-112.5/-1.21918035944634795e-008 params=0/0 float=y maxiter=100000 bailout=1 inside=0 logmap=1400 periodicity=10 colors=000EJDFKFHLGIMIKNJLOLNOMPPNQQPSRQTSSVTTXVXW\ TUVSSVRQUQOTPMTOJSNHRMFRKDQJBPI9PH6OG4NF2NE0MD0MC0\ OG0QK0RO0TS0UW0W_1Yc2Zg2`k3ao4cs5dv5_q4Wm3Si3Ne2Ja\ 1FY1AT06P02L00H00D00900B00C00E00F00H00I00K00L00J00\ I01G04F08E0BC0FB0I90M80P70SA0TD0VG1YJ1_M2`O3aR4aU4\ aX5a_6ab5aa6``6__6_Z6ZY6ZX6YW6YV6YU6XT6XS6XR6XQ6XP\ 6XO6XN6XM6XL6XK6XJ6XI6XH6XG6XF6XE6XD6XC6XB6XA6X96X\ 86X52Y76Y99YBCZDFZFJZHM_JP_LS_NV`PZ`Ra`TdaVgaYkaWj\ aUi`SiXQhSOgOMgJKfFIfEK`DLWCNQCOLBPFARA9S49T0EV5JX\ BNYHS_NXaS`bYedcjfingnngnngnBbR6bT1bV0b40b90bE5cIB\ dNGeSLfWRg`Wge`giZgjYgjXgjWgjVgjUgkTgkRglQglPgmOgm\ NgnMgnLgnJgnIgnHgnGgnFgnEgnDgnCgnBgnAgn9gn9gn8gn7g\ n7gn6gn5gn5in4ln3nn4qn3pn3pn3pn3pn2on2on2on2on2on1\ pn1pn1qn1qn1qn0qn0qn0qn0qn0qn0qn0qn0qn0qn0qn0qn1qn\ 3qn5qn7qn9qnBqnDqnEqnGqnIqnKqnMqnOqnQqnSqnTqnTqnTq\ nSqnSqnSqnSqnSqnSqnSqnCqn } END PARAMETER FILE=========================================