FOTD -- August 02, 2009 (No Rating) Fractal visionaries and enthusiasts: As I expected, I had to make a trip to Old Fractal Central on Saturday, and did not get back to new FC until noon Sunday, when the FOTD was already late and there was far too little time for a proper fractal search. In a rush, I found today's image and named it "A Deep Dark Forest". The image is actually a tiny part of a Julia set. Curiously, the entire Julia set consists of an infinite string of similar but gradually changing elements. The name refers to the blue, egg-shaped things surrounding the central element in the frame, which are actually fractal trees that have not quite fully formed. A large number of trees makes a forest, thus the name. I never rate such hastily found images, and today is no exception, though if I were to rate it, I would probably give a rating of a 6.5, mostly for the coloring. The calculation time of 1-3/4 minutes may be cut in half either by setting the symmetry of the image to X-axis or by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But before going to the web site, give Paul a fair chance to calculate and post the image. The weather was quite muggy at Old Fractal Central on Saturday, where the temperature reached 86F 30C and the one remaining old fractal cat, Thomas, spent the afternoon stretched on the stones in front of the fireplace. I hear things were pretty much the same back here at New Fractal Central, where the two new fractal cats, Nicholas and Cassie, spent the afternoon stretched under the cool air. If all goes well, the next FOTD will be posted in around 9 hours, but there is no guarantee, so don't hold your breath waiting for it. Until whenever, take care, and philosophize. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= A_Deep_Dark_Forest { ; time=0:01:46.80-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideJulibrot center-mag=+16.94930143\ 560947/0/1.83592e+011/1 params=90/0/90/0/-0.77/0/0\ /0/1.05/1.5 float=y maxiter=6400 inside=0 logmap=174 periodicity=10 mathtolerance=0.05/1 colors=000MEMNGNOIOPKPQMQRORSQSTSTUUUZZZccchhhmmmz\ zzmmmccc```YYYVVVSSSPRoMDUBIBJHARH9ZG8c32eA5fG7hNA\ mR0kS6iTCkQ9mNCmQFmTImWLmZOmaRrdUre_rgbqddpb`q`YrY\ UtWQwUNzRLzOJzLHzIFzFDzDBzHPzLazOnfHZRAKBF5CF8DKAE\ QDFWFGaHHgKImMIrOzzZzzZmzdcvaUrZKmXvhLmcKdZKXeKWbJ\ W`IWZHQaOLcVGe`Bhg6jn1ltAfqJanRWk_RhgLepGbxB`ZNkAY\ vVWioVYTMO7DFDPII_KCVR6QY0Ld5Og9QjESlIUoMWqNRpONoP\ InQEnR9mS5lS1lb0kl0zeDz_PzT`zNlzHxzJuzLrzNpzPmzQkz\ N`zKRzHGzF6zJ9zNCzQEzUHzXJz2oz9izFczFpzFjzFdzFZzFT\ zFOzJSzMVzPYzT`zWczZfzWezUdzSczQbzObzLdzJez5szBlzH\ fzN_zTUzZNzcHz`JzYLzVNzSPzhazaYzWVzQRzJOzDKz1Bz7Hz\ DMzJRzPWzVaz`fzfkzf8zkpzgozcnz_mzWlzSkzOjzHlzKjzMh\ zPfzRdzTbzW`zYZzScz_XzXazVezTjzRnzOMzOPzORzOUzJ1zL\ CzMMzOWzPezKyzNtzQozTkzWfzZbzaYzYYz`WzbVzdUztRzoSz\ jTzfTzaUzXVzTVzOWz70zCBzGMzKWzOfzsBzUvzSpzQjzhqzWh\ zPdzIazBZz0_z4Wz8TzCQzGNz } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================