; June 21, 1997: On the Moon Europa ; ; europa ; ; Fractal visionaries: ; ; It is sometimes said that fractals are a window to the infinite. This ; much is undebatable. But fractals are also a window to other worlds. ; Today's fractal is named "Europa" because it depicts a scene of total ; desolation on that ice-covered moon of Jupiter. Do not despair when the ; parameter file appears to be drawing a blank black image. Look close, ; dim the lights, tiny stars are there. What you are seeing is the black, ; star-infested sky of that bleak, airless satellite. ; ; The real picture begins about 2/3 of the way down the screen, where the ; icy surface, blue and cold, comes into view. The distant sun, a blazing ; point at this great distance, lies just above and to the right of the ; scene, its dazzling reflection glinting from every ice crystal in turn ; as the satellite slowly rotates. ; ; Actually the scene is a picture of the Mandelbrot negative X-axis sliced ; in the XZ direction. The line of symmetry lies about 1 inch from the ; bottom of the screen, (assuming a 15-inch monitor). The picture is also ; a good demonstration of the human element in creating fractal art. When ; I first saw the characteristics of this area, I knew that it would make ; a good Europa-like scene, and intentionally colored it to bring out its ; potential. Such an effect would be near impossible to achieve by random ; color flowing. ; ; For tomorrow's fractal, I think I'll see what I can do with everyone's ; favorite midget -- the one on the negative X-axis at -1.76. Today's ; picture has been posted in finished form to a.b.p.f. and a.f.p. ; ; Jim Muth ; jamth@mindspring.com ; ; START COMBINED FILE FOR 19.6=============================== On_the_Moon_Europa { ; time=0:01:36.78-SF5 on P4-2000 reset=1960 type=formula formulafile=basicer.frm formulaname=man-yz-xz passes=1 center-mag=-0.00000\ 686598512544/-1.845082873438826/8.246947e+010/\ -5.121e-005/359.999056918636597/-89.9990597420641762 params=0/0/1/0 float=y maxiter=5000 inside=255 logmap=yes periodicity=10 colors=0007Ry7Rx8Qw8Qv9Qt9PsAPrAPqBOpBOoCNnCNmDNkD\ MjDMiEMhELgFLfFLeGKcGKbHKaHJ`IJ_IJZIIYJIWJIVKHUKHT\ LGSLGRMGQMFPNFNNFMOELOEKOEJNEJNEJMEJMEJLDJLDJLDJKD\ JKDJKDJJDJJCJICJICJICJHCKHCKGCKGBKGBKFBKFBKFBKEBKE\ BKDAKDAKDAKCAKCAKBAKBAKBAKA9KA9K99K99K99K89K89K88K\ 78K78K68L68L68L58L57L47L47L47L37L37L37L26L26L16L16\ L16L27M27N38N38O49O49P4AQ5AQ5AR6BR6BS6CS7CT7CU8DU8\ DV8EV90W90XA0XA1YA2YB3ZB4ZC5_C6`C7`D8aD9aDAbEBcECc\ FDdFEdFFeGGeGHfHIgHJgHKhILhIIiJNjJOjJPkKKkKQlLRlLR\ mLRnMRoNKpNSpNTqNVzJazJezKhzUhzOfzGdzGbzK`zMZzSPvS\ SwTYxTYyTYyTZzU_z0czV`zV`zV`zWazWazWazXbzXbzYczYcz\ YczZdzZdz_ez_ez_ezZdzZdzZdzYdzYdzYczYcztzzvzzxzzzz\ zzzzzzzWbzWbzVbzVbzVazVazUazUazUazUazTazT`zT`zT`zS\ `zS`zS`zS`zR_zR_zR_zR_zQ_zQ_zQ_zQZzPZzPZzPZzPZzOZz\ OYzOYzOYzNYzNYzNYzNYzMXzMXzMXzMXzLXzLXzLXzLWzKWzKW\ zKWzKWzJWzJWzJVzJ`zJazJaz } frm:Man-YZ-XZ {; Jim Muth, Thanks to Benno ; p2 = 0 = Julibrot YZ plane ; p2 = 1 = Julibrot XZ plane ; p2 = >0 <1 = Oblique planes z=real(pixel)+flip(real(p1)), c=imag(pixel)+flip(imag(p1)), a=p2, b=flip(cos(asin(p2))): z=sqr(z)+((a+b)*c), |z| <= 25 } ; END COMBINED FILE========================================== ;