FOTD -- March 21, 2004 (Rating 5) Fractal visionaries and enthusiasts: For today's adventure in fractal land we return to that rectangle in the Julia set of the Z^(2.003) Julibrot. But we do one thing very different. Instead of viewing it in the Julia direction, we turn our viewpoint 90 degrees and view it in the Oblate direction, which is determined by the real(Z) and imag(C) axes. Surprisingly, the rectangle is still a rectangle, though it is now quite squashed, and its top and bottom edges are no longer sharply defined, but have become fuzzy. When viewed from this direction, the scene has origin symmetry, the lateral elements being transformed into graceful swirls. With few more good features to tell of, the image could be rated no higher than a 5, which, with a 21-minute render time, equals an overall value of 24. Perhaps remembering that great film of 35 or so years ago, which was set in a future that is now 3 years in the past, I named the image "A Space Oddball". And I wonder why none of the things foreseen in that film have come true. I guess it's a plot of the evil space aliens to keep us helpless in preparation for the coming takeover and enslavememt. :-) The enlightened will avoid the aliens and save 20 minutes by downloading the finished image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Those who enjoy watching their fractals come to life will run the included parameter file. The first day of spring turned out to be very pleasant here at Fractal Central on Saturday. The fractal cats took full advantage of the sun and temperature of 59F 15C by spending most of the afternoon in the yard, checking the spring bulbs that are already showing. At sunset, they came inside for their evening treat without urging. Today is starting mostly sunny and mild, but it is quite windy, and the duo dislikes wind, which conceals the sound of danger. It remains to be seen what kind of day they will have. Regardless of the cats' day, my day will be pleasant, and the fractals will all be above average. Until next time, take care, and hang on to your fractals. Once you lose them, they are gone forever. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ A_Space_Oddball { ; time=0:20:55.04--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=t center-mag=0/0/3303.206/0.0232/0/-77.7313946499058\ 517 params=0/0/90/0/-1.7435/0/0.00019/0.07388/\ 2.003/0 float=y maxiter=60000 bailout=9 inside=0 logmap=66 periodicity=10 colors=0008355450532654765877999AAABBCCDEDEFEFHFHI\ GIKHJMGLNFMPENREPSDQUCRVBSXBUZAV_9Wa8Yc8Zd7_f6ag5b\ i5ck4el3fn2gp2iq1js0kt0ls3is6gr9drCbqF`qIYpLWpOToR\ RoTPnUOmVOlVOkWOjWOiXNhYNgYNfZNeZNd_Nc_Mb`MaaM`aM_\ bMZbLYcLXcLWdLVeLUgLTiKSkKRmKUoK_qKatJcuJexJhyJhzJ\ hzKhxJevKbsLZsLUoMPnMKkNFiOFgOEePEePDdQDcRCcRCbSBb\ SBaTB`UA`UA_V9_V9ZW8YX8YX7XY7XY6WZ6V_5V_5U`4U`4Ta4\ Ta5Wc5Ye6_f6bh7di7fk8il8kn9mo9pqArrAtt8wvAvuBvtCvs\ DvrEvqFvpGvoHvnIvnJvmKvlLvkMvjNviOvhPvgQwfRwfSwdTw\ bTwaUw_UwYVwXVwVWwTWwSXwQYwOYwNZwLZwJ_xI_xG`xE`xDa\ xBaxAbxBcxCdxDexEexEfxFgxGhxHixIixIjyJkyKlyLmyMnyN\ oyOpyPqyQryRsyStyTuyUvyVwyVxyWyyXzzXzzYzzYzzZzz_zz\ `zzazzbzzczzdzzdzzezzfzzgzzhzzizzjzzjzzkzzlzzmzznz\ zozzpzzpzznzzlzzkzzizzhzzfzzezzczzFzzEzzEzzDzzCzzC\ zzBzzBzzAzzAzz9zz8zz8zz7zz7zz6zz5zz5zz4zz4zz3zz2zz\ 3zz3zz3zz3zz4zz4zz4zz4zz5 } SliceJulibrot4 {; draws most slices of Julibrot 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), 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=z^(p5)+c |z|<=9 } END 20.0 PAR-FORMULA FILE==================================