FOTD -- April 17, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today's image lies in the same stubby Seahorse Valley of the same parent fractal that produced yesterday's image. But it lies far enough away from the scene of yesterday's action to appear quite different. About 1/10th of the image consists of 'inside' stuff made visible by the 'zmag' inside fill. The rest of the image is made of good old equal-iteration bands. I named today's image "Another Visitation" because it is the second visit in as many days to the same scene. I rated it an 8 because I think it makes quite an interesting screen full. The render time of 12 minutes can be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. I am involved in writing a discussion of how I find good parameters to enter into the MandAutoCritInZ formula. To my surprise, I find that I am not sure how I find some of the good parameters. But I almost always start by setting one of the exponents to an absolute value between 1 and 2. How I find the alternate critical point to enter as the (p4) parameter is another story, which I will explain in detail in the discussion. Finding good parameters for the MandelbrotBC2 formula, which I used in today's FOTD, is a far simpler task. Either I choose an exponent between +1 and +2, or an exponent very close to a positive integer, such as today's 1.99. A value of 2.01 would have created an equally interesting parent fractal, though the fractal would have rotated in the opposite direction as the logarithmic ladder was ascended. A chilly temperature of 43F 6C, heavy clouds, strong winds and occasional showers of mixed rain and snow made conditions less than ideal for those whose business took them outdoors here in Fractal Central country on Monday. A tuna treat that was late made the day less than ideal for the fractal cats also. With the work getting lighter and the fractals getting better, my day was pretty good however. And the best part is that tomorrow looks to be a repeat. Until then, take care, and beware of scam fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Another_Visitation { ; time=0:12:12.59--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=t center-mag=-0.75491096038879870/-0.055120426362415\ 04/1.768255e+010/1/30/-0.009 params=1.99/0/10/0 float=y maxiter=2500 inside=zmag periodicity=10 colors=000PYpP`wM_yL_zJYzIYzHXzFXzEXzCVzBVz8Tz6Tz5\ Sz3Sz2Sz0Rz0Rz0Pz0Pz0Pz5XzFcpPjd_pTiwIsz6zz0zX8z0J\ z0Lz0My0Ou0Pp0Rl0Sg0Tc0Vd0Xf0Xg0Xi0Xj2Yj3Yl5Ym6Yn8\ _p9_pB_qC_sE_uF`vH`wI`wJ`xLazMazOazPazPaqYYffTVmPJ\ vL8zH0zE0zH0zJ0zL0zO0wR0uS0qV0nY0l_0ia0gd0df0ai0_l\ 0Xm0Tp0Rs0Ou0Lw0Iz0Hz0Cz09y06w03v20u30s60q80p90nB0\ n90j90g90d90a82_85X88T8BR6EO6HL6JI6MF6PC5S95V65Y35\ `03c03f03i03l03n05j06g06c08`08X09T2BP5BM8CIBCFBEBC\ F8BF3AH0AH0ACHF8`6EcBIeEOjISmLXpPasSfvXjz_nzcszfwz\ izzlzznzzqzzuzzvzzszzpyzmvzjsygpvdmsaip__mXPjTHjR6\ mO0000pz0gv0`s0Sp0Lm0Ci05f00cXzpSpmOglJYiFPgBHf66c\ 20a00d00c00a00`2w30m80dC0XH0OL0FP06T00Y`X0VR0RL0MF\ 6IBCC5J80P30V90P50T20Yvzm0Y`PIE0zn0SgIIzECzB8w83q5\ 0l20f_SmSJjLCgE3d60aszzipz`cwRRqIEl80fzO20zg0fd0Fa\ d0i_0gT0fP0dJ0dE0c90a30`0BH00R05y00q00l00fz09u0El0\ Hc0LV82TC9TFHSJOSMVRRaRTi } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================