FOTD -- August 22, 2008 (Rating 6) Fractal visionaries and enthusiasts: A big rush left little time for fractals on Wednesday, but I did manage to find one in a hurry. The little order-6 minibrot in today's image mixes both quadratic and order-6 elements. It is located on the northeast shore line of the main bud of its parent fractal, which exactly resembles an oversized Mandelbrot set. Since I found the scene almost automatically, I could rate it no higher than a 6. The name "One From Many" had some relevance when I thought of it, but now I can see little meaning in it. The calculation time of 2-1/4 minutes is speedy enough for such a routine fractal. And the already-calculated image has been or soon will be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another perfect day went un-noticed by the fractal cats on Thursday, while I noticed the perfection but had no time to enjoy it. The next FOTD will be posted in 24 hours. Until then, take care, and wait with anticipation. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= One_from_Many { ; time=0:02:15.66-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot passes=1 float=y center-mag=-23.3599216711707/+3.587124300227662/\ 5.186719e+009/1/-158.75/0 params=0/0/0/0/0/0/0/0/6\ /30 maxiter=2200 inside=0 logmap=239 periodicity=10 colors=000h5Ag5Ae5Ac5A`5AY8AVBASEAPHAKKAGNABQ87S6C\ T9GUCKVEOWHTXKXYM`YPdZRi_Um`XqaZubaybctaao`_j_YfZW\ aZVXYTTXROWPJVNFVMIXLLZLN`LQbLSdLVfLXhL_jLakLgmQln\ Vro_wpdunfsmgqkiojjmhlkgmifngdpecqcasa`t`_u_aq_cnZ\ djZfgZgcYi`YkXXlUXnQXoNWqJWsGVtCVv9Vw6Tl8Rb9PTBNJC\ L9DSIBYRAc_9ih8oq7uy6ozEizLczSYzZTzeUqgViiWakWUmhb\ iukfVTNSWMPZLN`KKcJIeIFhHDjGAmF8oFDiKIdOM_TRVXVQa_\ LecGiWJbOMXHPRGSPGUOFXNFZMFaLEcKEfJEhHDkGDmFDpECrD\ CuCCwBFtCHqCJnDLlDNiEPfERdFTaFWZFYXG_UGaRHcPHeMIgJ\ IiHIkJHlKHmLHnNGrOGvPGzNJzLLtJNnIPiGReEUdDWbBY`9__\ 8aaFbcLbeRbgXbibbkhbmnbotbpzbmrajjagbadV`aN`_G`_G_\ _F__F__F__F__FZ_EZ_EZ_EZZEYZEYZEYZDYZDXZDXZDXZDXr5\ _x4Xs9YoDYkHZgLZcPZ_T_WX_S``Od`Kh`Xjdilhumkpngkocf\ p_aqWXrSSsONtKIuGDvC8w84x46y87zB8zFAzIBzMCzPDzTFzW\ Gz_HzbIzeHzfHzfHzfHzfHzfHzfGzgGzgGzgGzgGzgGzgJzdMz\ bPz`RzZUzXXzV_zTazRdzPhzd } 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)+0.00000000000000000000001), 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=========================================