FOTD -- April 23, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image earns an 8 because of its unusually brilliant colors. Take away the colors and it's just another fractal with an "East Valley" appearance. The parent fractal is an error. Instead of resetting the function to 'reciprocal' I let it stay at 'cosine' and came up with what might be the start of an entirely new family of fractals. (I would never have made the error if the program would accept the entry 'recip' written directly in the iterated section instead of a more awkward 'fn1', which refers back to the initialization section.) The resulting parent fractal appears as a rough Mandelbrot-set shape rotated 180 degrees, with all kinds of extra stuff stretched along the positive X-axis. Today's scene is located very near the X-axis, just east of the easternmost block of 'stuff'. The magnitude is once again quite large, which makes the mathtolerance entry necessary. The name "The Eastern Horizon" is something that popped to mind when I tried to think of a name. The calculation time of 4 minutes is satisfactory for an image that rates an 8. Also satisfactory is the trip to view the completely calculated image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Despite ominous clouds at times, Thursday proved to be quite a pleasant day here at Fractal Central, with a temperature of 70F 21C and ample sun between the billowing cumulus clouds. The fractal cats ignored the outside weather and enjoyed the inside conditions, which included a treat of tuna and cheddar, and a romp up and down the hallway. My day was good enough, but could have been better if I had not volunteered to satisfy an irate customer who claimed we had not followed her instructions. The next FOTD will be posted in 24 hours. Until then, take care, and if you want it done right, do it yourself. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= The_EasternHorizon { ; time=0:04:03.07-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=cos float=y center-mag=+1.771974192428845/+0.0000000994273418/\ 2.61846e+012/1/-76.8/0 params=0/1/0/0 periodicity=6 maxiter=2750 inside=0 logmap=400 mathtolerance=0/1 colors=000O6KPAIQEJRGHSHNTKSUNZUReUWlQcschzckzgrzo\ vzzzzzzzzzzEmzHczJUzMKzOAzQ4zWOhafh`bf_ZeZVdYScXOb\ dKafG`iD_mKWrUSzbPzhCzn0zmAzcKmUUcScUQ7KVFE_NBdU8i\ a5mhGjcQgZ_dUaaVbZVcWWeTWfQXgOXbTTYXPU`LPdHKhDGl9B\ p57t1Dh2IY3OM4TB5Y06QEPIRgBcyAfzAiz9lz9oz9qzIgjQaW\ ZWGfQ1PZ38g5BcAD`FGYKIVPKSTRmHemStmbqi`nf_kbYi_XfW\ VtPknMujRqfVnc_j_cgXhcTl`QpYBnUBoWBoYIpUOqQUrNRmPO\ mRMmTQKRTKQzhOzlNzpLztKzwJifVjRehU`fWXdYTb`O`bK_dG\ X`IUXKSTMPQOMMQKISHEUFBVJKZMUaPcdSmgWzjZzmazpdzsiz\ smzsqzs8mwBcpEUiHSbKYWNcPQhJPeLPbNO`POYQOVSNTUNQWN\ OXTVSZaNdhJzoEzwmzdSqOiuKNyH1W_92qG4rc6sc8tcAumCvm\ EwmGxmMpzRimWaK`VMe0NgYOh0PjfQklRfbWbT`j`YqhVxpSok\ Wgg_ZccR_fPZvU_zZUzcUzhUzcdzrhzvmzzrzzvzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzezzfzzgzzhzzizzkzzmzzoz\ znzzkzzhzzezzbzz_zzXzzUzz } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================