FOTD -- October 02, 2005 (Rating 5) Fractal visionaries and enthusiasts: One plus one equals two. That simple fact is true, at least in our universe. Russell proved it in his masterwork almost a century ago while trying to demonstrate that math is completely self-consistent. (Godel soon proved him wrong.) But would one plus one equal two in every possible universe? Who knows? And I'm not so sure it's true everywhere in even our own universe. After all, according to relativity, the velocity of light added to the velocity of light equals the velocity of light. If the velocity of light equals X, then X+X=X, (or one plus one equals one). I guess it's all relative to how one and one are added together. The rating of today's image is also relative. I created it with a formula I wrote around 8 years ago and named TowerExp02. But I soon put the formula into cold storage. Yesterday, when I opened it for the first time since then, I found why I had put it away. Today's image consists almost entirely of inside material made visible by the bof61 inside fill. Relatively speaking, the image is average, and therefore rates a 5. The name "Wind-blown Pyramid" came about when I imagined one of the Egyptian pyramids in a sandstorm. Of course, pyramids made of solid stone do not bend in the wind like today's fractal pyramid is doing, but neither do fractals obey the laws of the physical world. The included parameter file renders in 3-3/4 minutes on my worn- out 9-1/2 year old machine with the exhaust fan that must be kick started by hand. On the newer XP units, it it runs at all, it will finish in a minute or so. But all rendering problems may be bypassed by downloading the pre-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The absolutely perfect weather on Saturday here at Fractal Central was mirrored in the absolutely perfect behavior of the fractal cats. They are behaving absolutely perfectly so often lately that I am beginning to wonder what has happened to the Thomas and Tippy I knew for almost 15 years, the cat duo who once frantically chased each other all around the house and yard. I rather miss the thunder of cat feet dashing up and down the stairs, and the thrashing of the bushes as they dash about after each other. Oh well, the weather can't remain perfect forever, and cats can't be good forever. The next FOTD will appear in 24 hours give or take a few. Until that wondrous moment of enlightenment arrives, take care, and seeking truth is one thing, recognizing it when one finds it is quite another. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Wind-blown_Pyramid { ; time=0:03:42.18--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=TowerExp02 passes=1 center-mag=-2.11560313779256900/+0.337148844672286\ 90/105.1995/1/-127.5/-8.39280034359290994e-013 params=0/0/0/0/1/0 float=y maxiter=95 inside=bof61 logmap=yes periodicity=10 colors=000XLGVOEUQDSTCRVBQYAO_9Nb8Md7Kg6Ji5Ik4MlAP\ mFSnKWoPZpUaq_erdhszktzntsirzepzanlYPUUPUQheMfbId`\ EcZGU`ITaL50M50OaeQ50S50U5hWaiY50_Q0a`mLZUL`be_kfZ\ hgZehYbiY_jXXkXUVWRVWOnVLVVI4T_7UXAVVDWSGXQJXNMYLP\ ZIS_GV_DY`B`a8cb6fb4dYAcUGbPMaLS`GY_CbZEaYG`XI_WKZ\ VMYUOXTQWSSVRUUQWTPYSPZRQ`TRbUSdVSf0ThXUiYVk_Vm`Wo\ aXqbYscYtdWpfVlhUhiTekSamRYnQUpPRqSTqUVqWXqYYq__qb\ aqdcqfdqhfqjhqliqajhSk_IlR8mI0n90oA0pB0qC0rD0sE0tF\ 0uG0vG0wH0xI0yJ0zK0zL0zM0zM2xQ5sT8oWAjZDfaGadIYhLT\ kOPnQKqTGtWBwY7zZ8yZ9xZAw_Aw_Bv_Cu`Dt`Dt`EsaFraGqa\ GqdPmgXijefmmbpu_nqYmmWliUkeTjaRhYPgUNfQMeMKdIIcFH\ aHI_JIYLIWNIUPISRIQTIPUIRTLSSNUSQVRSWQUYQXZPZ_P`XO\ aVNbSNcQMdOMdLLeJLfHKgEJhCJhAIi7Ij5Hk3Hk6Ik9IkBIkE\ IkHIkJIkMJkOJkRJkUJkWJkZJk`JkaQjbXicbhdigepfevefhi\ fWlgJog6riGgkQYmZNohDpq3lm5hj6dg7`d9XaAUZBQWCMTEIQ\ FENGBKH8MJ5NL3ON0PPXLIXLH } frm:TowerExp02 {; Jim Muth z=pixel, c=p2+(p3*pixel): z=z^(z^(z+p1))+c, |z| <= 100 } END PARAMETER FILE=========================================