FOTD -- May 22, 2004 (Rating 3) Fractal visionaries and enthusiasts: I'm still far behind in the work, so the discussion will once again have to be brief. I think it was Lee Skinner who named the Z^(2.1828...) fractal the 'Zexpe' fractal. To create today's image, I have taken the 'Zexpe' fractal, and with the MandelbrotBC2 formula, calculated it at a different level to produce a different yet similar fractal. This fractal is indescribable, basically a Mandeloid standing on its nose, with branch cuts and irregularities everywhere. Several jagged spirals lie on the northwest part of this fractal; today's scene is rather deep in one of these spirals. I named the image "Hexafault", because the midget at the center is sliced almost perfectly symmetrically by six major branch cuts, or fault lines. It is rare to see such fault-line symmetry in a fractional-power fractal. Unfortunately, I gave almost no effort to the coloring, not that it would have made much of an improvement if I had. As a result, the rating is another lowly 3. But the very fast render time of 33 seconds raises the overall value to a very respect- able 534. Those who prefer to avoid rendering may download the completed image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was pleasant enough here at Fractal Central on Friday, with some sun and a temperature of 81F 27C, but the cats had to be escorted as they took their daily walks in the yard, to keep them from overstuffing themselves with those easy-to- catch cicadas that are flying around by the millions. Today is starting sunny and quite warm, and the cicadas are quite active. It looks like another chaperoned day for the duo. For me, it looks like I'm going to try to get caught up. If I make reasonable progress in the work, the next FOTD will appear in 24 hours. If not, it might be 48 or 72 hours. Until next FOTD, take care, and who will be first to realize that the universe is a great fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Hexafault { ; time=0:00:33.67--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-1.3193191562\ 43292/+0.2253921211100132/1952924/1/-165/-5.999734\ 35516655e-009 params=2.71828182845905/0/0/0 float=y maxiter=1000 inside=0 logmap=23 periodicity=10 colors=000AMQ8OH6Q9DUAKXBR_CYbDdeEkhFrkGphIofKncLm\ aNkZPjXQiVShSUgQVeNXdLZcI_bGaaEbbHdcKfdNheQjfTlgWn\ hZpiarjdtkgvliwkkvjlujnuiotiqthrsgtrgurfwqfxqbsp_o\ pXkpTfpQbpNZpM`oLbnLcmKelJgkJhkNdgQ`cTY`WUX_RTbNQe\ KMhGIkDFlCIlBLlBOlARlAUl9Wm8Zm8am7dm7gm6jm6lk7EjCH\ iHKhMNgRPfWSe`VdeYcj_`hXYgUVeRTdPQcMNaJK`GI_EGaDEd\ CCfAAh98k86m74o68m7Bk8Fi9IgALeBPcCSaDV_EZYFaWGeUHh\ SIkQJoOKrMLuKMnPOgTP`XRU`SNeTGiV9mW3qX4rZ5r`6sa7sc\ 8se8tf9thAtiBukCumCvnDvpEvrFwsGwuGwvEtsDqqCqnArl9s\ i8tg6ud5vb4w_3xY2y_2za2zc1ze1zg1zi0zk0zm0zo0zp4zl7\ ziBzfEzcIz`LzYOzVQzTTzQVzOYzL_zJbzHdzEgzCiz9lz7nz5\ pz7rz9tzBvzDwzEdzaMzxMzwMzwMzwMzwMzwMzwMzwMzwMzwMz\ wMzwMzwMzwMzwQztTzqWznZzlazidzfgzdezcczbazb_zaZzaX\ z`Wz_UzZTzZRzYQzXOzWNzWCzN2zF8zKEzOKzSQzWVz_`zdfzh\ lzlrzpwztqzokzjfze`z`VzXQzSKzNEzI9zECzKFzQIzWLzaOz\ fEz3Iz5Lz7JzjIzmIzoFzfDzY } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================