FOTD -- September 17, 2009 (Rating 7) Fractal visionaries and enthusiasts: The name "Troubling Triumph" refers to my success in finding today's scene, which is interesting enough but has its problems. To start, it's a rather pleasant though slightly gloomy scene in the parent fractal that arises when Z^4 is mixed with twice as much Z^3. But look closely. The central quadratic minibrot lacks the usual 2,4,8... symmetry. In fact, the outer symmetry seems to be 6,12,... while within this range there is little symmetry at all. The whole affair is indeed a bit troubling, thus the name. The rating of a 7 continues the unbroken string of similar ratings. The little mathematical problem does not detract from the image, and with its blazingly fast calculation time of 23 seconds there is no reason to miss its curiosities. Those with not quite enough curiosity to set up and run the included parameter file may still see the image by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing it there. I was undecided whether to tackle science, religion, politics or the paranormal in my philosophical outburst today. On all these topics I have strong views, most of which are not very popular. So I waited for FL to say something that would get me started on one of them. When the day passed without a comment, I decided to write nothing. The clouds slowly thickened here at Fractal Central on Wednes- day, but the temperature reached 72F 22C and there was just enough sun at the right time of day to satisfy the fractal cats, who took turns on the shelf in the sunny southwest window. My day was appropriately busy. The next FOTD will be posted in 24 hours, with or without the accumulated wisdom of the better part of a lifetime. Until then, take care, and I wonder why different people accumulate such contradictory wisdom during their lives. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Troubling_Triumph { ; time=0:00:23.16-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.35203885984/-0.00077531473/322693.7/\ 1/-75/0 params=1/4/2/3/0/0/0/0 float=y maxiter=1500 inside=255 logmap=45 periodicity=10 colors=000d0Lc0Ma0N_0OY0PW0QU0SR1UO2WL3YI4_F5aA6c4\ 7e88cB7ZE5QI4LL2GO1BR06YUJdwWWkPgjbO_JGOC8C656E45C\ 34A338237125113001emaZdVSXPLPJEKC7G6mzzZkgQ_XHOM8C\ BrqQhhL__HRRDII8994m`rfWk`RdVNYPIRIDKC9D646dtfZl`U\ eWPZQKSLFLGAEA575BzL9oH7eE5VA3L71A3szJkqGchDW_AOR8\ GI5892RMyNJqKGiGDaDBVA8N65F327FI2CF1AC1791560230AM\ 08J07G06D05B0380250120JzkEj_9VO4FCrigjb`bWVVQPNJIF\ DC7669LF7HC6EA4A7375132NoZIdSDVL9KE4A7ejmX`cPSUGIK\ 89AtLCjHAaE8SA6J74932SEDLA9E76733qCfjA`c9WX7QR6LK4\ GD3A615JfeEWV9LL4AA4Vf3Q_2MU2HO1DI18C046TV0OQ0KM0G\ H0CD0880440rc1RK0GCmDAdA8X86P54G228`ZAVU8QP7LK5FF4\ AA2551cHpUCbK8QA4Dm2zP1V62Z51T41N31H20B105AHS7CL58\ E247QhmK_cFRUAIK59AvPfbGSJ8EpbHxGsU8S5OnUDgOAZI7QC\ 5H628mSyNEJF9C746h`X`URUOMMIGFCB765Gp5AZ35H1TWNOQJ\ JLFEGB9A7453xUvkOj_IZOCNC6BwmAof8h`7`V6UP5MI3FC2Pu\ WBtICnJDhJEbJFXJGRJHLJzzz } 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=========================================