FOTD -- March 27, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's rather colorful image lies in the parent fractal that results when 10 parts of Z^(0.1) are combined with 0.1 part of Z^(10) and (1/C) is added. This parent is nothing more than an arc of a circle with a tiny dot lying just outside the arc. A closer examination of this dot shows it to be a full-blown but tiny Mandelbrot set in rather shredded condition. Today's scene is located in the East Valley of this tiny M-set. I named the image "Deep Meditation", not because I practice yoga but because I had to meditate on the past to come up with the image. The meditation must have worked, for the image does exist and the parameter file of the image is included at the end of this discussion. Actually, the image is a minor reworking of an older one. Curiously, whenever I return to the older FOTD images, I almost always find ways I could have done them better. The rating of a 6 indicates that the image is a little above the long-term FOTD average. The calculation time of one minute means little effort will need to be expended to view the image. Or better still, the image may be seen without any calculation by viewing it in finished form on the FOTD web site at: <http://www.Nahee.com/FOTD/> Lots of sun prevailed here at Fractal central on Friday, but a brisk north wind and temperature of 36F +2C made it feel more like midwinter than early spring. The new fractal cats, who, unlike the original fractal cats, have no holly patch to romp in, enjoyed the sun on their shelf by the window and didn't worry about the outside temperature. My day was average. FL was wondering when our privately- purchased health insurance will become less expensive. (I have not yet told her the bad news, though I think she already knows it.) Unless an antiquing expedition arises, the next FOTD will be posted in 24 hours. Until then, take care, and it's nice to see our country living in peace, brotherhood and harmony, I say ironically. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Deep_Meditation { ; time=0:01:03.34-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-0.1108289742547393/+0.0006618953398988\ /1.31136e+009/1/-145/0 params=0.1/10/10/0.1/0/0/0/0 maxiter=6000 inside=0 logmap=99 periodicity=10 colors=0000F`0H`0Hb0Id0Mf0Rg0Vi0_m0do0hp0kr0ip0fn0\ bm0_k0Wi0Tg0Pf0Md0Ib0F`0C_09Y06W02WF9TVDRgIPvNNzTM\ z`KzfTzk_zpgzxnzzvzvpzpmzkizdfz_bzV_yNWyITxDPx7Mv2\ Iv0Fv0Cm07d04Y00P00H00A002000000000700NI0db4vx7zz6\ zz6pz6fy4Wt4Mm4Cg22b20Y20T40T70V92VA9WDFWFKYHRYKY_\ Md_Nk`Rr`TybVzb_z`bz`fz_iz_mzYpzYtzWyzWzzVzzVzzTzz\ TzzRzzRzzPzzPzzPtzPnzNgzNbzNWzNPzMKzMDzM9zM2zK0zK0\ zK0zK0vM2mN9dPHWRNNTWFVb7Wk0Yr0Y0fKCfKYIKbHMfFMiDN\ nCNrANv9Py7Pz6Pz4Rz2Rz0Rz2Pz4Nz4Mz6Mz7Kz7Iz9IyAHxA\ FvCDtDDrDCpFAnFApDDrDHrCKtCMtAPvATv9Vx9Yy9`y7bz7fz\ 6iz6kz4nz4rz4tx9nrDkmIgfMd`R`WWWP_TKdPFiM9mI4rD0xA\ 0z70z40z00z00z90zK0zW2zg7ztDzzIzzTib`P0YDIV4_R0rP0\ zN0zN0yM0tM6nMAiKHdKM_KRVIWPI`KIfHK`DMYANT7NP4PK0R\ H0TC0T90RD0PH0NK0MP0KT0IW0H`0Fd0Dg0Cm0Ap09t0Do0Ii0\ Md0R_4VU9_PDdKIgFNmATr6Yv0bz0gz0mz0rz0xz0zz0rz0kz6\ bzDWzNPzYHzgAzp4zz00zz0zz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================