FOTD -- October 29, 2004 (Rating 9.5) Fractal visionaries and enthusiasts: For today's FOTD we move on to the julzpower formula of Frac- tint, where we find the second-highest-rated FOTD image of all time. The formula is one of the simplest in the program, drawing the Julia sets that result when Z is raised to any power and C is added. The power I chose for today's image is 1.5, the value that I find creates the most interesting fractals in the exponent range between 1 and 2. It is said that fractals are everywhere. This is likely true, but hardly anywhere are they more obvious than in the fractal structure of trees. As today's image shows, the formula that creates trees may be surprisingly simple -- no more complicated than Z^(1.5)+C. Very early in my fractal adventures I discovered a family of fractal trees, one of which is illustrated in today's image. Several close relatives of today's tree have already appeared in one of the earliest of the FOTD images, the image that was named "Snaketree". It may be debatable whether today's unusually simple image is worth the 9.5 rating that I gave it. It certainly is a striking image, leaving no doubt of why I named it "A Tree in Spring". I spent much more time coloring the image than I did in finding it. In fact, I added the extra half-point to the rating because of the extra effort I put into the color palette. When the brief render time of under 2 minutes is considered, the overall worth registers an impressive 546. This is not the high- est overall worth of all time, but the ridiculously higher worths were achieved because of very brief render times rather than image quality. The image may be enjoyed by running the included parameter file, or by downloading the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Thursday proved to be the best day of the week here at Fractal Central. The warm sun and temperature of 61F 16C brought out the best in the cats, who passed the afternoon in the depths of the holly thicket, feeling like prowling tigers. Nothing special was needed to end the day happily. But this morning has dawned cloudy, and the cats could be less happy by the time evening arrives. The work is still caught up and the supply of fractals is no- where near being exhausted. Be sure not to miss the next one, which will appear in 24 hours. It might not be as good as today's, but it will be worth seeing. Until then, take care, and which order of infinity is the set of all possible fractals? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= A_Tree_in_Spring { ; time=0:01:44.36--SF5 on a P200 reset=2003 type=julzpower center-mag=0.231542/0.53\ 2989/8.035804/0.7601 params=-0.1873/0/1.5/0 float=y maxiter=150 bailout=9 inside=255 logmap=10 passes=t colors=000NitNitNitNitNitNitNitNitNitNitNitNitNitN\ itIitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNit\ NitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNi\ tNitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNitN\ itNitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNit\ NitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNi\ tNitNitNitbH6bH6aJ4`J2_J2ZJ0XM0UM0RM0OJ0FM08J04J00\ J00M00O02Q00S42U84WBAYFD_JGaMJcPMeSPgVSiYVkaYme`oi\ cqmfsmiumlwmoxmrymuwmxwmzwmzwmSu_SlVSaOSVHSMBSF4S6\ 0S00_62eDBlJJrQSyXazcjzjrzpzzwzzzz0800B00D00F00H00\ J20M40O40Q60S80V80XB0_D0aF0cF0eH0gJ0jJ0lM0nO0nO0jS\ 0eV0a_4XaBSeHOgOJjVFn_Bpe6ul2wr0yy0zz0zz0zz0zz0zz0\ zz2wzDnzQezaXzlOznQzpQzrQzuQzwQzySzySzzSzzSzzSzzVz\ zVzzVzzVyzVyzXwzXwzXuzXuzXuzXrzDpz0pz0uz0wz0zz0zz6\ zzFzzOzzVzzczzlzzrzzzzzzzzzzzzzzwzzlzuc_aXcXVeVSjS\ QlOOpMMrJJwFHyDFzBDz8BNit } END PARAMETER FILE=========================================