FOTD -- October 25, 2005 (Rating 7) Fractal visionaries and enthusiasts: Since posting the last FOTD, I have become fascinated with the low-order Julia images drawn by the JuliaBC formula, which I recently came upon in one of my discarded formula files. Today's image is a Julia set of the Z^(1.125)+C Mandeloid as it appears 11 levels up the complex logarithmic hyperspiral. I have named it "Julia Variation-2" and rated it a 7. Since the image shows the entire Julia set, it is at a very low magnitude and therefore is a very fast one, rendering in under 1 minute on my tired, worn-out old P200 clunker with 16mb of memory, a 2gig hard disk, an exhaust fan that must be goosed into turning by hand, and a CD drive that has not worked in 6 years. The central spirals and triangles are made of inside stuff brought to life by the inside=fmod option and a proximity of 0.025. The radiating outer spokes are a natural part of the image, which was rendered with the outside parts of the image set to the old-fashioned everyday 'iter'. The image is so fast that it should hardly be necessary to download the finished version, but those who wish to do so will find the finished product on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An article in the November 2005 issue of 'Scientific American' magazine speculates that life on earth might have originated somewhere in outer space and reached earth on a meteorite. The most likely source of such a meteorite is presumed to be the planet Mars. Of course, this theory does nothing to explain how living material originally arose from dead matter. It merely shifts the process to another world, and if the ultimate source of life is presumed to have been on a planet in a different solar system, gives a bit more time for the miracle to have happened. I thoroughly discussed this topic in a recent series of FOTD's, so I will not repeat my own views of the nature of life, but I once again wonder how it is possible that such an intellectually advanced species as our own is still debating its own origin, which one would think would be the first question to answer. Cloudy chilly conditions on Monday here at Fractal Central cut short the cats' outdoor time, but not the time they spent in a bad mood. When fractal cats get sulky, they squat down and scrunch up in the most obvious place they can find, usually in a doorway, where they must be stepped over. But thank goodness for tuna. Neither Tippy nor Thomas can remain sulky when tuna is near. Today is starting rainy, windy and chilly. It will not be a good day for the cats. In my department, the work is pretty much caught up, so the next FOTD should appear in 24 hours on schedule. Until then, take care, and is it possible for us to discover what we are? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Julia_Variation-2 { ; time=0:00:58.66--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 float=y maxiter=255 center-mag=0.138015/-0.127115/0.9300138 inside=fmod params=1.125/0/11/0/0.03224847/-0.32755741/0/0 proximity=0.025 logmap=yes periodicity=10 colors=000zzZlgGg_UbSgYKuVNtTPsRRrPUqNWpLYoJ`nHbmF\ dlDgkBij9gi9ff9cd9_b9X_9TY9PW9LT9IR9EP9AM96K93I5AD\ 2H97NDCSHJXLQaPXfSckWjp_ovcsyfmrafhY_ZUSPPFGL37H4A\ I5DI7FI8IJALJCNJEQKFTKHVKJYLL`LMbLP_MSYNVVOYTP`QQc\ ORfLSiJTlHUkGVkFVjFVjEViDViDWhCWhBWgBWgAWf9Xf9Xe8X\ e7Xe7XcCWaGV`KUZOTXTSWXRU`QTdPO_MKVKGQHCLF8GC4CADL\ EMTHV`KchNlpQtxTswSswRsvQsvPruOruNrtMrtLqsKqsJqrIq\ rHqrGnqFlpEioDgnCdmBblA_k9Yk8Vj7Ti6Qh5Og4Lf3Je2Gd1\ Ed0Dc7CbDBaKAaQ9`W8_b7Zh6Zn7`j7bg7dd7f`8hY8jV8lR8n\ O9pL9rH9tE9vB9w8ArABmCBhECcGCZHDUJEPLEKNFFPFBQNAMU\ 9Ia8Fh7Bp67w54r88mBBhEEcGHZJKUMNPPQKRTQTQWVNaXKgZH\ m`EsbBxc9iZFVVKGQQ2MV2J_2Fd2CjSANF9GN8NV7Ua7_ZDZXJ\ YVPXTVW`c4R_WFcAIMwAJj3HYBJUILQQNMXPIaWEcRFeNGfJHh\ FIiBJk7Kl3Kg4Ib4GY5ET5CO6AJ69M87P96RB5UC3WE2ZF1kVD\ `G0cNAfUJjWNh_SgcXfgadjfcnkbrpauuRmjGf_9XT6_Q`L43a\ NAcTGeZNgdTij_kpelufjqfhm } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================