FOTD -- August 01, 2008 (Rating ?) Fractal visionaries and enthusiasts: NEW FORMULA ALERT! Today's FOTD uses a new formula, which I wrote today. The formula combines the DivideBrot routine with the Julibrot routine to draw different slices of the curious DivideBrot Mandeloids. The new formula is number 6 of the SliceJulibrot series. I wrote the formula to make it easier to work with both the Julia and Mandelbrot aspects. I have not yet investigated the odd slices, though they probably hold some interesting scenes. Today's image has no parent fractal. It is the parent fractal. The image is a Julia set of what remains of the Seahorse Valley of the ruined large minibrot on the main stem of the correspond- ing Mandelbrot set. To see the ruined minibrot in the Mandel- brot aspect, simply change both the p1 and p2 parameters from 90,90 to 0,0. At first glance, the image appears to have X-axis symmetry, but a closer examination will reveal that it has no symmetry at all. The imag(p3) parameter is extremely critical, with the slightest change totally altering the image. I have not yet tried different values of the remaining parameters, but I see much potential for excitement. The formula combines Z^2 and Z^5. From the way the image is filled with 7-sided elements however, one would never guess it. The calculation time of a very brief 25 seconds will cause no one any pain. Since I have no idea of the potential of the new formula, I could give today's image no rating. The name "New Boy on the Block" refers not only to the new formula, but also to the new tomcat that lurked around FC for acouple minutes this afternoon. The most convenient way to see the image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> but before you will be able to work with the image, you will need the new formula entered into one of your Fractint formula files. Thursday proved to be a thoroughly delightful day here at Fractal Central, with blue skies, puffy cumulus clouds, lower humidity, and a temperature of 86F 30C. The fractal cats enjoyed the conditions, but became alarmed when they spotted an unwelcome beat-up tomcat prowling in the yard next door. Just as Nicholas reached full bristle however, the intruder moved on, returning peace to the cat community. My day was about average. The next FOTD will be posted in 24 hours, plus or minus a few. Until then, take care, and fractals are not only good for the soul, they might be what the soul is made of. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= New_Boy_on_Block { ; time=0:00:25.12-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot6 center-mag=0.0187793/\ 4.44089e-016/0.9861933 params=90/90/90/90/-14.1496\ 5667/0.0052/0/0/5/8 float=y maxiter=1200 inside=255 logmap=3 symmetry=none periodicity=10 colors=000_MjeSekXajZcj_eiagibiicjfagd_ebYc`WaZU_X\ TYVRWTPTRNRPLPNKNKILIGJ133GEHECECACA9A878656434212\ gi7_a5TU4MN3EF2771UGzSFwREtPDqOCnMCkLBhKAeI9bH9_F8\ XE7UC6RB6OA5L84I73FQnlUhmXbn`XocRogLpjFqmAqlErkIrk\ LsjPsjStiWthZuhbugevgivflwepwesxdwxdzxbvtarq`nnZjk\ YfhXceYdgZdh_dj_dk`dmadnbdpbdqcdsddtqdvhbwbbzc`zb_\ tbZsaYs`Wr_Vq_TpZSoYRoXPnXOmWMlVLkVKkXNiZPg_ReaTcb\ VadX_eZZgaXicVjeTlgRmiPokNpmMmlLjlKglJdlJalIZkHWkG\ TkGQkFNkEKkEX0AV4CT7DRAEPDFNGGLKIJNJIQKGTLEWMC_OAb\ P8eQ6hR5kSInUUqVesWfoUflSfiQfeOfbMg_KgWIgTGgQEgNCd\ MHaMLZLPWLTTKXQK`OKdCAKTuUOkP5_j7Vi8QhALgBGgEJeGLd\ INcKPbMR`OT_RVZTXYVZWX`VZbU`dTbaRdZQfXOhUNjRLkPKp`\ JtkIrjKpiLniNlhOjgQigRgfTefUceWadX`dZZc_XbaVbbTadS\ aed_ZpYSnXQmWOlVMlTMlSMlRMlQMlPMlOMlNMlMMlLMlKMlJM\ lIMlHMlGMlFMkHOjJQjLRiMTiOUhQWhRXgTZfV`fXaeYce_dda\ fdbgaYiZTkWPmTKoQFqNBsUHn } frm:SliceJulibrot6 {; draws slices of DivideBrot 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), 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=========================================