; Date: Wed, 13 Oct 2004 09:56:59 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 13-10-04 (Circle Limit [6]) ; Id: <1.5.4.16.20041013095800.29a7e1c4@pop.mindspring.com> ; --------- ; ; FOTD -- October 13, 2004 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal is named "Circle-Limit". And why not? The ; formula that drew it is named 'escher_julia', and Escher drew ; several similar pictures which he named 'Circle Limit'. ; ; The 'escher_julia' formula draws circles filled with a variety ; of Julia-set parts. For today's image I chose a point near ; Seahorse Valley of the Mandelbrot set as the starting para- ; meters. These parameters only partly fill the circle with ; 'outside' features. Much of what appears inside the circle is ; 'inside' stuff. This presents no problem. I rendered the image ; with the inside set to 'bof61', which gives a nice shaded back- ; ground to the 'outside' features inside the circle. ; ; The image is a kind of graphic representation of a space of ; negative curvature, in which there is more space out there than ; would seem possible. In such a space, things appear smaller ; than their distance would indicate. If our universe has such a ; curvature, it will expand forever until it dies a slow death ; from increasing entropy. At least that is the old idea. But we ; are currently wrestling with all kinds of new forces and new ; ideas about the fate of the universe, and I'm not sure what its ; fate is now theorized to be. And even if we do determine its ; fate, how do we know that the universe will actually do what we ; theorize it must? It's all simply an interesting intellectual ; exercise. ; ; Today's image is a little above the average run of FOTD images, ; and earned an honest 6. Its speedy render time of 25 seconds ; results in an overall value of a huge 1395. ; ; The image may be viewed by booting the Fractint program and ; running the included parameter file, or by downloading the ; completed GIF file from the FOTD web site at: ; ; ; ; Tuesday was a bit chilly here at Fractal Central, but the sun ; was warm and the wind was light, permitting the fractal cats two ; pleasant midday hours of lounging on the porch, enjoying the ; sun. They took all the porch sun they could get. The sun is ; dropping lower, already skimming the tops of the holly trees ; even at midday, and in a week or so, the porch will be shaded ; all day. This morning I see clouds already moving in. With ; clouds and occasional rain expected for the rest of the week, ; the cats will likely be disappointed. ; ; With the today's fractal rating above average, I feel reasonably ; satisfied, but far better things should be possible, so I'll try ; again tomorrow on another formula. Until then, take care, and ; be careful not to bump into a fractal in the dark. Some of them ; have very jagged edges. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Circle-Limit { ; time=0:00:25.82--SF5 on a P200 reset=2003 type=escher_julia passes=1 bailout=4 center-mag=-2.22045e-016/2.22045e-016/0.9735202 params=-0.765/0.1 float=y maxiter=75 inside=bof61 logmap=yes symmetry=origin periodicity=10 colors=00020N20N90L000M0JS0Ij_czzzlzzirznhH_gKZXcc\ XRcRVcMicN_cNacOchOdhPfmPhmPirSOwU3h_6Zd9PiBPjBOjB\ OjBNjBNkBMkBMkBLkBLlBKlBKlBJmBJmBImBs28t17t17u16u1\ 6v05v05w04w04t35r55p75nA6lC6jE6hH7fJ7cL7aN7_Q8YS8W\ U8UX9HnHSZ9Q`9Nb9LeAJgAHiAFlBDnBBpB0EP1FO1GO1GO1HO\ 1HO1IN1IN1JN2KN2KN2LM2LM2MM2MM2NM2OL3OL3PL3PL3QL3Q\ K3RK3SK3SK4TK4TJ4UJ4UJ4VJ4WJ4WI4XI5XI5YI5YI5ZI5_H5\ _H5`H5`H6aH6aG6bG6cG6cG6dG6dF6eF7eF7fF7gF7gE7hE7hE\ 7iE7iE8jD8kD8kD8lD8lD8mC8mC8nC9oC9oC9pB9pB9qB9qB9r\ BLWXKXWKYVJZUJ_UJ_TI`SIaRHbRHbQHcPGdOGeOFeNFfMFgME\ hLEiKDiJDjJDkIClHClGBmGBnFBoEAoDApD9qC9rByzcwybvya\ uy`ty`ry_qxZpxZoxYmxXlxXkwWjwVhwVgwUfwTewTdvSbvRav\ R`vQ_vPYuPXuOWuNVuNTuMStLRtLQtKPtJNtJMtILsHKsHIsGH\ sFGsFFrEDrDCrDBrCArB7dn8el8fj8gh8gf8hd8ib8i`8jZ8kX\ 8kV9lT9mR9nP9nN9oL9pJ9pH9qF9rDjYAiZBhZBhZBg_Bg_Bf_\ Bf_Be`Be`Bd`BdaBcaBcaBbaB } ; END PARAMETER FILE========================================= ; ;