FOTD -- October 16, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's image, which rates a 7, was created by the fn*fn formula. This formula doesn't bother with a constant term such as Z or C, it merely multiplies two functions and plugs the product back into the formula. When I brought up the formula, I expected little of interest to come from it, and indeed, for a while nothing did. But then I tried multiplying the cotan and cotanh functions, and activating the mainly blank screen with the bof61 inside fill. The result was a screen filled with chaos, but with little delicate and interesting objects of order scattered among the chaos. Today's image reveals one of these bits of order. It is not surprising that a formula that includes a hyperbolic function should draw a hyperbola. And that is exactly what we find at the center of the large semi-orderly area. Don't bother zooming into the center of this hyperbola -- I already did, and found that it's hyperbolae all the way down. The large central object in today's image reminds me of a fossil, so I named it "Fractal Fossil". The rating of a 7 might be a bit exaggerated, but the image really is a rather unusual one. When the 4-minute render time is figured in, the overall worth rates a respectable 173. The rendering may be avoided by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The heavy clouds and occasional rain hung around all day here at Fractal Central on Friday, holding the temperature to 64F 18C and keeping the dynamic duo of fractal cats confined to their lookout shelf by the side window, where, due to the rain, there was very little to look at. The duo took their disappointment rather well. Today is starting blustery and chilly, but only a few clouds are in the sky. It is too early to determine what the duo will make of it. For the fractal human, the work is caught up, leaving a day with not much to do but watch some games on TV and find a great fractal. The next FOTD will appear in 24 hours or I'll have a good alibi ready. Until next time, take care, and if nothing is real, is the knowledge of that fact real? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Fractal_Fossil { ; time=0:04:02.55--SF5 on a P200 reset=2003 type=fn*fn function=cotan/cotanh center-mag=-1.22692/1.25354/2.297076/1/5/3.8857805\ 86188048e-016 float=y maxiter=95 bailout=1410065407 inside=bof61 logmap=yes periodicity=10 passes=1 colors=000OkzNhzMezurAL_zKXzJUzIRzHOzHLzGIzFFzECzD\ 9zD7AHwzLw0m50T50X4T`4zd3zh3zl2zp2zo7XnCzmHzlMzkRz\ kWzj`ziezhjzgozgtzerzdqzcpzboz`nz_mzZkzYjzWizVhzUg\ zTfzRdzQczPbzOazM`zL_zKYzJXzHWzGVzFUzETza_zxfztbzq\ ZzmWzjSzfPzcLz`Iz_Mz_QzZTzZXzY`zYczYgzXkzXnzWrzWvz\ WyzXxzYwzYvzZvz_uz_tz`szaszarzbqzbpzcpzdozdnzemzfm\ zflzgkzgkzdkzblz`mzZnzNOzPNzQNzSMzTMzVLzXKzYKz_Jz`\ JzbIzcIzgTzkXzn`zqdzmezjfzggzdgzahzZizWjzTjZQkYNlW\ KmVHmUHnUHoUHpUIoVIoVInVInVImVImVImVIlVIlVIkVIkVIk\ VJjVJjVJiVJiVJiVJhVJhVJgVJgVJgVJfVJfVKeVKeVKeVKdV`\ eP_dOYdOXcOVbOTaNS`NQ_NP_NYULfPKoJJwEIrGKnIMjKOfMP\ bORZQTUSVQUWMWYIY_E_aA`bB_cB_cB_dCZdCZeCZeDYfDYfDY\ gEYgEXhEXhFXiFWiFWjGWjGWkGVkHVlHVlHUmIUmIUnIUnn4Kl\ 8OjBRiFVgIYfMadPdcThaWk`_oZbrYeuWdtUctSbsRasParN`r\ M_qKZqIYpHYpFXoDWoBVnAUn8Um6Tm5Sl3Rl1Qk0Qk3Pl5Pm7P\ m9OnCOnEOoGNoINpNk8Om5Pn2 } END PARAMETER FILE=========================================