FOTD -- August 09, 2008 (Rating 7) Fractal visionaries and enthusiasts: Yesterday's image is a Julia set that closely resembles the one in which the curious rectangle is found. In today's image I searched the place where the rectangle is found in the other Julia set. I found no open rectangle, though I did find an interesting rectangular shaped area quite deep at the same place in today's parent Julia set. OK, I admit I got out the evolver and fudged the real(p3) parameter a bit, and I also made a few tweaks to yesterday's color palette, but it's all in the name of good art. Even though the main feature of the image is a rectangle, I named it "Honest Square Deal". I gave it this name because no one ever heard of a rectangular deal. When the time came to assign the rating, I thought briefly and absent-mindedly before rating the image at a 7. A rating of a 7 is like the word 'nice'. It sounds pleasant but means nothing. The one place where the image really does excel is in its calcu- lation time, which at just over one minute will make the job of running the included parameter file as pleasant as a day at one's favorite get-away spot. Those whose over-qualified computers have an incurable case of fractintphobia may see the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Friday was pleasant enough here at Fractal Central. There was lots of sunshine and a temperature of 75F 24C, and if the sudden but brief midday thunder-shower was ignored, the day was ideal for any outdoor activity. The fractal cats had a rough day however. This morning FL took Cassie to the doctor for a shot, and when Nicholas, the macho one who fears only the doctor, saw the carrying box come out, he dashed under the bed, where he hid for several hours. All went well with Cassie, who normally is the timid one, but faced the doctor heroically. My day was moderately busy, as I got the work out of the way in preparation for a planned day out on Saturday. If the FOTD for August 10 is late, it will indicate that the day out was a success. Until next time, take care, and a fractal a day will keep the doctor away, at least until you run out of fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Honest_Square_Deal { ; time=1:04:11.62-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot passes=1 center-mag=+0.0175331707901178/+1.624411711936185/\ 7.144491e+007/1/-90/0 params=90/0/90/0/-43.7613069\ 8158602/0/0/0/2.5/25 float=y maxiter=975 inside=255 logmap=108 periodicity=10 colors=000aFXeHXhJYlL`nNerPjuRnwRzyXzu_zqVvnSmjQgg\ OccMU`K5aL4bN4bQ4cT3cW3dZ3da3fc2ge2ih2ml2up1ztczzm\ zvcvq2rn2mg2hg3cm3Zr3Uu3Pu8KrDFlIHgNIbRJXTJSQJUNKR\ LKOKKKJLOHLMGLJFMIDMHCMGBNF9NE8ND7NC6QAAS9Dz8Hz7Kz\ 6Nz5Rz4Uz3Yv2`r1cm0gm0jz0nz0qz0tz0so3sk6sh9sdDs`Gs\ YJsUMrQPrMTrJWrFZrBar8dr9asA_tBXuCVuDSuEQuFNuGLuHI\ uIGuJDuKBuL8uM6uN3uN1uN6uNBuNGuNLuNQuNVuNZuLXuKVuI\ TuHRuGPuENuDLuCKuJIuPGuVFu`DufBulAuf9u`9uW8uQ8uK7u\ F7u96u46u55u55u64u64u73u73u72u82u81u91u90u90uA2uB3\ uB4uC5uD6uD7uE8uF9uFAuGBuHCuHDuKOuMZuPiuRsuNjuJauF\ UuBLu8DuE4uJ0uQ3uXAubHuiOuoUumRukOuiMugJueGucEuaBu\ _8uY6uW3uU0uT0u2duRpuPkuNguMcuK_uJVuHRuGNuEJuDEuBA\ uA6u82u70u7Su7uuIjuT`ucQunGugEu`CuWhuVhuOcuH_uAWu4\ Su5Tu6Tu7Tu8Uu9UuAUuAUuDSuFRuHPuJOuLNuSPuYRucSuiUu\ _2uU21U31U44U57U6AV7DW8HX9KYANUBQWCTYDX_E_aFbbGecH\ hcHkeIifIhhJgiJfjKelKcmLb } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001, p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(-aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================