FOTD -- June 16, 2009 (Rating 7) Fractal visionaries and enthusiasts: Start with the number 5, extract the square root, add 1 to this root and divide the sum by 2. The result is the golden ratio, 1.618, where (a) is to (b) as (b) is to (a+b). Also, the reciprocal of 1.618 equals 1.618 minus 1, and all of this is curiously important in making fractals. Since this is Seahorse Valley month, I decided to see what goes on in the Seahorse Valley of the Z^1.618+C Mandeloid. The first thing I discovered is that this Mandeloid has no Seahorse Valley, but my disappointment did not last long, for the (-Z)^1.618+C Mandeloid, which is far more interesting, has a very well developed Seahorse Valley. In today's image we explore quite deep into this valley, where the going is very slow, but the rewards for the patient fractalist, very great. Due to a lack of time, today's image just scratches the surface of this part of the valley. In that scratch however I found a minibrot resembling a large ant swimming in elements resembling scalloped potato slices. Most of the detail in the potato slices was achieved by rendering the image with the outside set to 'tdis'. The rating of a 7 does not quite justify the calculation time of over an hour. I recommend saving an hour of so of precious time by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image posted there. Monday proved to be a repeat perfect day here at Fractal Central, with the thunder clouds again remaining far to the northeast. The crystal blue skies, puffy clouds overhead and temperature of 81F 27C made the fractal cats very happy. My day was average, which is the average situation. Tuesday will likely be average again, which is also average. The next FOTD will be posted in 24 hours, and this also is average. Until then, take care, and Theists say God created man, while Atheists say man created God. I say maybe they both are right. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Seahorse_Valley-16 { ; time=1:04:08.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotMiN passes=1 center-mag=-0.7427380746032878/+0.0036673874259825\ /5266657/1/-80/0 params=1.618/0/0/0/0/0 float=y maxiter=32767 inside=0 outside=tdis periodicity=10 colors=000sSasRYtQVtPRtOOuNKuMHuLDvKAvJ6vI3uK4uM5u\ O6uQ7uS8uU9uW9uYAu_BuaCucDueEugFuiFqeHnaJjYLgUNcRP\ `NRXJTUFVQBXN8ZQ7XT7WW6VZ6U`5Tc5Sf5Ri4Ql4Pn3Oq3Nt2\ Mw2Ly2Kv7MsBNpFOmJPjNRhRSeVTbZU_bWXfXUjYSnZVhYYbY`\ XYbRYeLYhFYjAY_LYPWYEfY4pY8qZBr_Fr_Is`Mt`PtaSuaWvb\ Zvcbwcexdixdlyeoyepwfpvgpthqsiqrjqpkqolrnmrlnrkosj\ pshqsgrsfsqbpoZmmVklShjOehKcfG`eDZaEWZEUVFSSFQPFOL\ GLIGJEHHBHF8HDALCBOBCSADV9EZ9Ga8He7Ih6Jl5Ko5Ln7Mm9\ NmBNlDOkFPkGQjIQjKRiMShOThPTgRUfTVfVWeXWeYXeWTX`QP\ eMHjJ9nSCKVBPXAU_9Za8cc8he9ifAjgBkhCliDmjEnkFolGom\ HpnIqoJrpKsqLtrMusMunLljKdfJWbIOZIGaJDdJAgK7fJ8eI8\ dI9cH9bH9bGAaGA`FA_EBZEBZDCYDCXCCWCDVBDZA6VBDRCJOC\ PKDWGDaDEg9En5Ft2Fzu5Vt4Ss3Qr3Oq2Mq2JMFoPEmSDlWCjZ\ BiaAge9eh8dk7bn7aj9bfAbcBb_DbXEcTFcPHcMIcIJdFLdBMd\ 8Nd6J`5FY3BU27R13O2BK3IH4QE5XA6d77k4Bi5Eg6He6Lc7Oa\ 7R_8UY9YW9`UAcSAfQBrVhsTd } frm:MandelbrotMiN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=(-z)^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================