FOTD -- October 04, 2009 (No Rating) Fractal visionaries and enthusiasts: Today's image shows a minibrot on the main stem of its parent fractal, which is a Mandelbrot set about 1000 times the size of the true M-set. Today's scene lies at -1749 on the stem, at a depth where the minibrots look like those of order 2.5. But unlike true Z^2.5 minibrots, there are no discontinuities around today's minibrot. Creating fractional minibrots without discontinuities is the main feature of the DivideBrot series of formulas. I could give no rating to today's image, especially since it takes a longer-than-usual 7-1/2 minutes to calculate. But the calculation may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A perfect early Autumn day here at Fractal Central on Saturday was thoroughly enjoyed by the fractal cats, who spent several hours in the sun. The temperature of 72F 22C made the day ideal for humans as well. For me the day was near average, which is peaceful but un-interesting. The next FOTD is due to be posted in 24 hours. With only a little luck it will actually appear as planned. Until then, take care, and look up. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= No_Discontinuities { ; time=0:07:38.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=DivideBrot6 center-mag=-1749.639999374\ 908/0/9.060976e+009/1 params=2/3/1000/10000000 float=y maxiter=12000 inside=0 logmap=-1850 symmetry=xaxis periodicity=10 mathtolerance=0.05/1 colors=000WJ4VK3VL2UM1UN1SO2RP2PQ2OQ2MR2LS3JS3IT3G\ U3FU3DV4CW4VM4YM47P46Y49X7CX9EXCHXEJWGMWJaQL`RNUSQ\ WVSZVV`VXcVZfVahQckUemUhpUjtWnrUllLkkQjmQilPhjOghK\ fgLeeKddIcbHb`G`_E_YDZXCYVAXT9WS8VQ6UP5TN4SM4RM3RK\ 9UJEXIJ_GPbFUeEZhE`jDckEejFgiFhiGjhGkgHmgHnfIpeGrf\ IqeJpeKodLndMndNmcOlcPkcQjbRjbSibThaUgaVfaWf`Xe`Yd\ `Zc__b_YZb`b_beYdhWfkUhnSjqQltOmqNmnNmlNmiMngMndMn\ bMn_LoYLoVLoTKoQKpOKpLKpJJpGJqEJqBIq9Iq6It2Kq4Po5U\ m7Zk8chAhfBmdDrbEv_GzYHzWJzUKzRMzPNzNPzLQzISzGTzEV\ zCWzAXz9Wz9Wz9Wz8Wz8Wz8WzKFyFFzBEz5DzYnzZpz_qz`rza\ tzbuzcvzdxzeyzfzz7zzzzAzzAzz9zz9zz9zz8zz8zz8zz7zz7\ zz7zz6zz6zz6zz5zz5zz2zz5zz8zzBzzEzzGzzJzzMzzPzzSzz\ UzzXzz_zzbzzezzvzzgzzUzz5zzGzzRizanzklzikzhjzfizeg\ zcfzbez`dz_czZczWczUczRAzcBzdBzdBzdCzdCzdCzdDzdDzd\ DzdEzdEzdEzdFzdFzdFzdGzdGzdGzdHzdHzdHzdJzaLzZNzWPz\ UQzTRzTSzSTzSUzRVzRWzQXzQ } frm:DivideBrot6 { ; Jim Muth z=(0,0), c=pixel, a=real(p1), b=imag(p1)-2, d=real(p2)+0.00000000000000000001, f=imag(p2)+16: z=z^(a)/(z^(-b)+d)+c |z| < f } END PARAMETER FILE=========================================