FOTD -- October 14, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal image, which was created by the fn(z)+fn(pix) formula, is named "Jet Action". A quick glance at the image will reveal the reason for the name. Rarely have I seen such an energetic outburst from such a picayune fractal object. The fn(z)+fn(pix) formula creates an immense variety of fractals, more than any one person could hope to become familiar with in a month, much less one day. When I opened the formula, I set the two functions to 'sqr' and 'ident', which draws a half-sized version of the familiar Mandelbrot set. Then I set the real(p1) parameter to -1, and started tweaking the functions to see what would happen. When I noticed that the functions 'recip' 'sqr' draw a mostly empty screen consisting of 'inside' stuff, I brought the inside stuff to life with the inside=bof61 option. The result is today's image. The effect of two jets of pure energy shooting out from the center of some hyperenergetic galaxy is totally a product of the coloring, which took longer to work out than the image takes to render. Of course, that does not imply that an extraordinary amount of time was spent in coloring the image, since the render time is a fast-as-light 8-1/2 seconds, which results in an absolutely ridiculous absolute worth of 4317 when the rating of 6 is figured in. Perhaps the most interesting part of the image lies in the jets, where the boundaries have broken down into chaos that produces many varieties of interference patterns as it is magnified. This would appear to indicate that some order exists beyond the resolution limit, but if so, it is totally beyond reach. All this jet action may be seen in living color by running the included parameter file, or, if your state-of-the-art machine is Fractint-challenged, by downloading the finished GIF image from the FOTD web site watched over by Paul Lee at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of clouds and a temperature of 61F 16C kept the fractal cats subdued most all day Wednesday. Luckily, the rain held off long enough for the duo to enjoy a brief half hour in the yard. Today looks to be similar. It remains to be seen how the duo will adjust. With the commercial work still caught up, I'll adjust to what- ever happens with no trouble. And who knows -- tomorrow might be the day I finally find a fractal that rates a 10. Until then, take care, especially of your fractals in need. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Jet_Action { ; time=0:00:08.35--SF5 on a P200 reset=2003 type=fn(z)+fn(pix) function=recip/sqr center-mag=-1.15802/0/0.3703704/1/-90/3.8857805861\ 8804789e-016 params=-1/0/1/0 float=y maxiter=255 bailout=1600 inside=bof61 logmap=yes periodicity=10 colors=00007KD7LD8LF9MSBOYCR`ITdPViSUlWNp`GsgAxlUz\ qczumzzczzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz0xz0vz0\ vz0iq0Yf0OX0FO07I80HL0HZ0Hm0Ht0Zm0zc0zU0zN0zG0zA0x\ 40n00h00b00X02R07L0AH0FH0KH0OH0SH0QH0QH0QH0QH0QH0Q\ H0OH0OH0OI0OJ0OM0OO0MR0MU0MW0MZ0M`0Mb0SZ0YX0bW0iU0\ pQ0vO6zMEzLNzJXzLZzLZxLZsMZnMZiMZdOZ`OZWOZSQ`OQ`KQ\ `GR`DR`9R`5U`2U`0U`0U`0QX0OU0MS0LN0JL0II0HE0HC0HA0\ H60H40H20H00H00H00H00H60HL0O`0WrAz2Ah0AW0AJ0AH0AH0\ AH0GH0MH0QH0WH0`H0gH0nH6sHCzHIzHNzHIxHEsHCpH8lH4iH\ 2dH0bH0YH0WH0SH0QH0MH0KI0GL0FM0AQ09R0DW0GX0IZ0Mb0O\ d0Sf0Uj0Yl0`n0ds0gu0lx0nz0sz0vz0zz0zz0zz0zz01jf5`c\ ARcGJcKHcQH`WH`bH`gH`nHGvf0zz0zz0zz0vz0pz0lz09Ht9H\ t5HS4HU1HU0HX0HX0HZ0HZ1HZ1HZ1HZ2H`2H`2H`4H`4H`5Lc5\ Oc5Rc7Xc7`c7dc9fXAfSDhNFhIGhEIjAKj6Ml2Ol0Ql0Sn0Un0\ Wq0Yq0`q0bs0ds0gu0iu0lu0nx0px0sz0vz0vz0gu0Wq0Kn0Aj\ 02f00d00`00Z00X00W0zzzzzz } END PARAMETER FILE=========================================
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Jim Muth