FOTD -- June 21, 2002 (Rating 6) Fractal visionaries and enthusiasts: As I write these words, it is 9:24am EDT, the moment of the summer solstice in the northern hemisphere. The sun is now as far north as it ever gets. Actually, the sun is not located any farther north that it always is, for there is no north and south in space. What has happened is that the earth has reached the point in its orbit where the north end of its axis is tilted directly toward the sun, which makes today the longest day of the year. Today is not however the day with the latest sunset. Because the sun is now falling farther behind clock time each day, the day of latest sunset arrives in about one week. In the southern hemisphere, where everyone hangs from the earth's surface by their feet and Christmas comes in the summer, all this is reversed! Today's fractal is not upside down, but it *has* been rotated to the 'normal' position, with the negative stem actually pointing left, the way all proper stems should point. The image is the latest in the apparently unending series of Minibrots, and as such, features an object sometimes known as an atom, but better known as a Mandelbrot Midget. The formula that created not only today's scene but an entire fractal universe, mixes portions of Z^(-1.16) and Z^(-12.5) then adds 1/C instead of just plain C. I named the image "A Nebular Minibrot". The name is justified because the image does have a galactic feeling to it, complete with stars and greenish glowing clouds of gas. I rated the image at a 6, which is above average but not outstanding. The rendering time, for those who choose to run the parameter file, is a nominal 5-1/2 minutes on my lazy P200 machine. And as always, the completed image will soon be available on the two FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Thursday here at Fractal Central was pleasing to man and cats alike, though the cats had more time to enjoy the perfection. Brilliant sun, crystal blue skies, puffy white clouds, gentle winds, and a temperature of 83F 28C made everyone happy. As is usually the case however, I have a bit of work to accomplish before I can enjoy today, which promises to be a repeat of Thursday. Until next FOTD, which will arrive on the 24th, take care, and I'm not as dumb as I appear and not as smart as I pretend. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ A_Nebular_Minibrot { ; time=0:05:27.90--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.9255785497758036/-1.12533132705048/8\ .889599e+009/1/10/0.000691584037123986473 params=1/-1.16/0.8/-12.5/0/0 float=y maxiter=1200 inside=0 logmap=112 periodicity=10 colors=000E758939C49E5AG5AJ6AL6BN7BQ7CS8CU8CX9DZ9D\ `AEcAEeBEgBJcCO`CTYCYVCbSCgPClMCqJCpNCoRCnUCmYClaC\ ldCkhCjlCioChsCgwCrqCXpWNgoQUUSG8PHBNIELIGJJJHJMFK\ ODKRBLT9LW7MZ5M`3Nc1Ne3Rb5U_7YX9`UBcRDgOFjLHmIJqFL\ tCMwAKvBIvBGvBEvCCvCAvC8vC6vD4vDzzD1vD5uB8uACu9Ft8\ Jt7Mt5Qs4Ts3Xs2_s1clMgefkZziYvhYsfYpeYldYibYfaYb`Y\ _ZYXYYTWYQVYNUYJSYGRYDQYAPXEOXHNXLMXOMXSLXVKWZJWaJ\ WeIhzHWlGWoGWrHZmI`iJbeKeaKgYLiUMlQNnMOpIOrERoFTmG\ VkHXiIZgJ`eKbcLe`LgZMiXNkVOmTPoRQqPRsNRhWTZdVPlWSk\ XVkYXkY_kZbk_dk_gk`jjaljaojbrjctjcwjdyjdtgcoeckccf\ aca_cYYcTVbPTbKRbFPbBNb6Lb2JbQ`_lqXnkUpfRr`OtWLvQI\ wLFqMLlNRgNWbOaYPgTPlOQrJQwMbcPnKSz0Uv4Vs8WoCXlGYi\ KZeO_bS`ZWaW_bTbZVaWW`SX`PY_LZZI_ZE`YBaX8bXFcTMePT\ gL_iIfkEmmAto7sq9rsBquDpwEoyGnzImzJlzLkzNjzOizQhzS\ hzTizRjzQkzOlzNlzMmzKnzJozIpzGpzFqzErzCszBszArzRrz\ frzvnzujztazHazHWzEQzBKz8 } frm:MandelbrotMix4 {; 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, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================