FOTD -- October 30, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal is a Julia set of the Z^(1.618034)+C Mandeloid as it appears 2 levels up the abstract spiral. The exponent of Z marks the first 7 digits of the irrational number phi, which continues as 1.61803398874989484820458683436563811772... This number is the value of the 'golden ratio'. It is also the square root of 5, plus 1, divided by 2. The golden ratio has a strange way of appearing in the proportions of geometric figures when least expected. Unfortunately, the number appears to lose much of its strangeness when used as an exponent of Z, but it still makes some interesting images. This is the seventh in the current series of branch-cut Julia variations. The eighth and final variation will appear as tomorrow's Halloween day FOTD. For the month of November I will start a new theme, though I have not yet decided what it will be. When rating today's image, I was prepared to give it a rating of 7. But then I noticed some clashing colors and dropped it to a 6, which is still an above-average rating. The render time of 1 minute is true on my old P200 warhorse with 16mb of memory, which probably gets more use than the P4-2300 machine with 1gb of memory that I use for the graphic design work. As has been the case for over 8 years, the completed GIF image is available for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Ample sunshine graced Fractal Central on Saturday, but chilly temperatures and a cool breeze made things a bit too cold for the fractal cats. After spending 1/2 hour in the holly thicket, they decided it was better to sit on their window shelf watching the birds fly by than to go out and actually try to catch them. My day was slow enough to be enjoyable but not so slow that boredom became a factor. Today is starting sunny and chilly, with a fast warm-up forecast. The duo should approve. The next FOTD will appear in 24 hours. Until then, take care, and why are some very important questions impossible to answer? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Julia_Variation-7 { ; time=0:01:00.48--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=0.0593088/-0.150193\ /1.173709/1/-127.5/-1.23373533611470521e-014 params=1.618034/0/2/0/0.02938/0.23769/0/0 float=y maxiter=1000 inside=bof60 periodicity=10 colors=000rZzqYzpXzoWzlVziUzfTzdSzaRzZQzWPzUNzRLzO\ JzLHxJFvGIrDLnAOh8RcCUZFWUIYPLaKOeFSiDVmCYqB`uAcy9\ sjgqecp`_nWWkSShNOeIKcEGa9C`48_04Y37Y59X7BW9DUCGTE\ IQGKNIMJKOGNRCPT9RV5TX2VZ3TX4RW5QU6OT6NR7LQ8JO9INA\ GLAFKDIQGLVJO`MRePUkRWpOXkLXfJYbGYYDZUBZP8_L5_G3_C\ CXDLUETRFaOGiLHV_AGn3IeIKYWMQiNIwQJtTKrWLpZMnaNkdO\ ifPgiQelRcoS`rTZuUXxVVzVTpLifBzTLlGVZ3dL3fL3hL3iL3\ kL3mL3nL2pN2rP2tQ5sT7sV9sXBsZDs`FsbJobNkbRgbVcbZ_b\ bWbfSbjObnKboPZpUWpZTqcPrhMrlJsmNsnQtoUtpXuq_urcvs\ fvtivsjvrjvqjvpjvojvnjvnjvmjvljvkjvjjvijvijrhenhaj\ hYfhUchQ_gMWgISgEOgALg6Nh9OiCPiFRjHSjKTkNUkQWlSXlV\ YmYZm_VjZSgZOdZLaZHZYEWYATY7RYoL1jS4eZ6`e8WlARsCNy\ EQrHSlKUfNW`QZUT`OWbIZdC`XBeQBiJAmCAqOFm_KikPevTau\ UcuUduUeuUguUhtUitUktVltVmtVosVpsVqsVssVtsVurYoq`i\ pbcoeYngTmjNlmHkoBjr5jt0AJvPcebxPatL`pH`mEdYhiWjmU\ lqSnuQpyPrwSnvUjuXftZbsaZ } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================