; Date: Sat, 04 Aug 2007 23:41:20 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 05-08-07 (Point of Evaporation [7]) ; ; Id: <1.5.4.16.20070804234658.2bafe59a@pop.mindspring.com> ; --------- ; ; FOTD -- August 05, 2007 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Once again we stay in the parent fractal of July 31, and return ; to the spurious bud where an East Valley of the Mandeloid should ; be. ; ; Today's image is half evaporated, which is why I named it "Point ; of Evaporation". When the bailout radius is raised, the outside ; parts of images made with two negative exponents of Z will ; eventually start to break up, the pieces will shrink, and ; finally vanish entirely. Sometimes the evaporation takes the ; form of a boundary, which spreads through the entire fractal as ; the bailout is raised, gradually erasing the outside parts until ; the entire fractal is gone. At the scene of today's image, both ; forms of evaporation are taking place. The image in a sense has ; been 'photographed' at the moment the evaporation boundary, ; which is expanding from the top down, has come to intersect the ; nearly invisible midget at the center. ; ; The top half of the image has reached an advanced stage of ; evaporation, and consists of rapidly shrinking bits and pieces ; of outside stuff. In the bottom half, the outside stuff is ; still pretty much intact, though the equal-iteration bands ; have radically changed shape. Curiously, if the inside fill is ; changed from 'atan' to 'bof61', the split across the middle of ; the image will totally vanish, and the top half of the image ; will perfectly match the bottom half. ; ; After some study, I decided to rate today's image at a 7. Most ; of the rating is due to the mathematical interest. The artistic ; part could use more work. ; ; The calculation time of just over one minute must come as a ; pleasant surprise for such a complicated image. Another ; pleasant surprise waits on the FOTD web site at: ; ; ; ; where the completed image is posted for viewing. ; ; Unusual heat once again made Fractal Central uncomfortable on ; Saturday, when the afternoon temperature reached 95F 35C. The ; humidity was lower than on recent days, but with such a ; temperature, it makes little difference. The fractal cats ; endured the conditions stoically. ; ; My day away from F.C. was a pleasant break. The next FOTD is ; due in 24 hours. Until then, take care, and don't evaporate. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= PointOfEvaporation { ; time=0:01:05.49-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+10.81180770259383/-26.8059176268024/\ 483.2803/1/-22/8.22240886488856404e-011 params=2.5/-1.05/0.35/-5.05/0/69797600000000.0/0/0 float=y maxiter=3600 inside=0 periodicity=10 colors=000lZ_nVTnONpIFsDAs73v30x00x00z00z00z00p00g\ 00_50RB0JK0BS05Z00h00j00000000h32f85`B8ZHBVNP0VN0L\ J0DH05D00000A00R5HjjxH03L08N0DR0HT0NY0T_0Yc1ce3gj7\ nl9vpBzsDzxFzzIzzKzzMzxKzpIzjFzcDzYBvR9nL7gD5a83V3\ 1P00J00D0080050030330720D20003M06S0AX0e90UUULj0Pj0\ Fj58fD2ZP0V_0Qj0Kx0Fo0Bz51il0zU0qx0zb0zz0xl1pc3io3\ cz5Yj7Rz9NzBHzBBpD8zF3zI0zK0zK0zc0zO0zj0zS0zj0zj0v\ Z5lMAc9FV0LN0VF0Y80hA0aD0PD0aN0XF0U_0cJ0cl0eN0eW0Z\ P0eg0gT0gZ0`V0gW0U_0ja0ja0jYj0_j0aj0aj0cj0cc0eV0eO\ 0gI0jB0j50l00l00n50nA0pF0pK0sP2sU3vZ3vc5vZ6xU6xP8x\ NAzOAzNBzNDzPDzTFzXHz`HzfJzjLzjLzjNzjNzjPzjRzjTxjT\ vjVsjYpjYnj_ljajjcgjcgjeejgcjgajj_jlYjnVjnTjpRjsPj\ sNjvLjxDjvLjxRjzYjzcfzj`zpXzxSzzMzzIzzDzz9zzBzzDzz\ FszInzKgzMczOYzQTzSNzVJzXFzZAz`6zc2zf0zh0zj0zj0zj0\ zj0e030QN0SR2VT5XY6Z_A`aBceDfgHhjJjnNjpPjsRjxVjzYj\ zajzcjzcjzejzgjzgjvjjnlfg } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint