FOTD -- June 06, 2003 (Rating 8) Fractal visionaries and enthusiasts: For today's image we return to the chaos along the shoreline of the Z^(1.04)+C Mandeloid. I really should not say *THE* shoreline, I should say *A* shoreline, because the Z^(1.04)+C Mandeloid has an infinity of shorelines, and the shoreline in question is but one of that infinity. The shoreline is actually part of the parent as it appears in the slice 40 turns up the logarithmic spiral. As the exponent of Z is lowered ever closer to unity, the chaos in the more remote logarithmic slices of fractals first grows more chaotic, with large areas of what I call sand. The sand is present down to an exponent of around 1.01, where, due to its increasingly high maxiter, it becomes so hard to reveal that it is impractical to explore. Below this point, the Mandeloid fractals resemble mere jagged pieces of rock. The amount of sand peaks at an exponent of around 1.1, where it sometimes contains quite interesting sub-patterns. As the exponent is raised, the sand never really disappears, but becomes confined ever closer to the shoreline. By stretching my imagination, I saw in today's image a scene on a fantastic Planet Mars. Using a bit more imagination, aided by the film "War of the Worlds", I saw a fleet of space ships taking off on their way to invade earth, and named the image "Martian Take-Off". I assume that, thanks to its bacteria, the earth will survive the invasion of the fractal space craft. There is something about the image that I like. Maybe it's the jagged rust-colored rocks and space ships, maybe it's the blue of the Martian sky. Whatever it is, I rated the image at a much- above-average 8. With the help of a little imagination, the invasion fleet can be seen by running the parameter file and eagerly waiting for 15 minutes. The fleet can also be seen by downloading the pre- rendered image from one of the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Fine sunny weather and a temperature of 77F 25C here at Fractal Central on Thursday made for contented cats. The aging duo made the most of the situation by spending the day in the yard, watching for the new grey-and-white cat who moved in up the hill a couple weeks ago. Luckily for someone, the cat never showed up, and the once-dynamic duo had a restful day. Today is starting sunny again, which should assure the duo another good day. My day will be busy as I finish the work I failed to finish yesterday. And when the work is finished, I'll launch the search for the next FOTD fractal. Until next time, take care, and is there earth life on Mars? Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Martian_Take-Off { ; time=0:15:11.76--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-7.03071/1.76031/1.456008/1/30/1.657771\ 14258247593e-013 params=1.04/0/40/1000 float=y maxiter=1800 inside=255 logmap=26 periodicity=10 colors=070zzTzzQzzQzyQqwOosOlqOioMgmMdkMaiKYgKXeKT\ cIQaIOYIKWHIUHFSHDNF9OF7MF5KDPMDRHDSOB0AB07BUP9079\ 079XU7ZR7Z77K77P79U79Z79c79Z79U79Z79K79F79A79c7907\ 9U7927B07B57B77B97BB7BD7BF7BH7BI7BK7BM7BO7BQ7DT7DV\ 7DX7DY7D_7Da7Dd7De7Dg7Di7Dl7Dn7Di7He7Ia7MY7OV7TTAV\ VDXXH__KadOeeSggWgl`doc_tgXvkTxoOzsKzwHzzDzz9zzBzz\ BzzDzzDzzFzzFxyHxyHvyItwItwKquKouKouMnsMlsOisOiqQg\ qQeqTeoTdoVaoVamX_mXYkXYkYXkYVi_Vi_TiaQgaOgdOgdMee\ KeeKegIcgHcgHaiFaiDalD`lB`n9`n9Yo7Yo5Yq3Wq3Wt2Wt0U\ t0Uv0Sv0Sx0Sx0Qz0Qz0Qz0Oz0Oz0Oz0Mz0Mz0Mz0Kz0Jz0Jz0\ Hz0Hz0Fz0Fz0Dz0Dz0Bz0Bz0Az08z08z07z07z07z07z07z07z\ 07z07z07z07z07z07z07z07z07z07z07z07z07z07z07z07z07\ x07x07x07x07x07x07x07x07x07x07x07x07x07x07x07v07v0\ 7v07v07v07v07v08v0Av0Bv0Dv0Dv0Fv0Fv0Hv0Ht0Jt0Jt0Kt\ 0Kt0Mt0Mt0Ot0Ot0Qt0Qt0St0St0Ut0Ut0Wq0Wq0Yq0Yq0`q0`\ q0aq0aq0cq0cq0eq0eq0gq07m } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================