FOTD -- March 19, 2005 (Rating 7) Fractal visionaries and enthusiasts: When I first saw today's moody atmospheric scene, which lies in the Rectangular orientation of the Julibrot, I considered giving it a poetic name such as "Blue Bayou" or "Transfigured Night", or even something bombastic such as "Ripples of Heavenly Peace". But then I turned, glanced out the side window, and saw in the distance the familiar golden arches that mark the location of the local fast-food emporium. When I turned again to the screen I saw the arches there also. I immediately got hungry, named the image "Golden Arches", and hurried out to pick up a couple cheeseburgers and a bag of fries. (Unfortunately for the store, I did not buy a soda, which is where they earn most of their profit.) Actually, the image reminds me of the 'lake' transformation, that makes fractals look as though they were half submerged in a lake and being reflected off the rippling surface. What we are seeing however is a true part of the Z^2+C Julibrot. The only special effect is that the scene has been stretched in the vertical direction. The horizontal stripes are the ever-smaller buds lining the valley leading to the larger period-6 bud on the northeast shoreline of the main bay of the Mandelbrot set. The golden arch is a different view of the debris that obscures the tiny buds as the imaginary part of initial Z of the Mandelbrot view of the area is changed from zero. Today's image is an improvement over yesterday's effort, but its rating of a 7 leaves room for more improvement. Two Rectangular images remain to be posted. That gives me two chances to do better. As in real life, success is never guaranteed, but it will be interesting to see how close I come. Today's image is a rather slow one that takes almost 15 minutes to render on my machine. But relief may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where the image may quickly be downloaded. The temperature reached a high of 59F 15C here at Fractal Central on Friday. The wind was light, the sun was bright, and the fractal cats were happy. They wasted over three hours lurking in the thicket, watching for something that never came. Only a small treat of tuna was needed to end their day happily. Today is starting with some sun, and it is mild again, but rain is due to arrive later this afternoon, hopefully after the duo have finished their outing. For me it looks like an average day. The work is light, so I'll probably spend some time watching the games on TV before entering Fractal Land. The next FOTD will appear in 24 hours. Until then, take care, and there's a long time to come before entropy wins. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Golden_Arches { ; time=0:14:16.18--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident passes=1 center-mag=0/-0.00537482249257776/131.833\ 9/0.01495 params=0/90/2/0/0/0/0.3750255321/0.21770\ 67886 float=y maxiter=6450 inside=0 logmap=70 symmetry=yaxis periodicity=10 colors=000nggnfgnfgnfgnegnegndgndgochochochobhobho\ ahoaho`ho`hmXho`hpchqghrjhsnhtqhuuhxziwyhvxhvxhuwh\ twgtvgsugsugrtgqtfqsfpsfprfoqfnqenpempeloelodkndkm\ djmdildilchkchkcgjcficfibehbehbdgbcfbcfaceaceacdac\ d`cc`cc`cc`cc`cc_cc_cc_cc_cc_ccZcbZcbZcaZcaYc`Yc_Y\ c_YcZYcZXcZXcZXcZXcZXcZWcZWcZWcZWcZWcZVcZVcZVcZVcZ\ UcZUcZUcZUcZUcZTcZTcZTcZTcZTcZScZScZScZScZRcZScZSc\ ZScZScZScZScZScZScZScZScZScZScZScZScZScZScZRcZScZS\ cZTcZTcZUcZUcZUcZVcZVcZWcZWcZWcZXcZXcZYc_Yc_ZcZZbZ\ ZaZ_`Y__Y`ZY`YY`XXaWXaVXbUWbTWcSWcRVcQVdPVdOVeNVeM\ VeLVdKVcJVcIVbHVbGVaFVaEV`DU`CT_BS_ARcAQcBPcCOcCNc\ DMcDLcEKcFJcFIcGHcGGcHFcIEcIDcJCcJBZKAZL9ZL8ZM7ZN6\ ZM7ZM7ZM7ZM7ZM7ZM7ZM7ZM7ZM7ZM7ZM6ZM6ZM6ZL7ZL7ZL7ZL\ 7ZL7ZL7ZL7ZL7ZL7ZL7ZL7ZL7ZL7ZK8ZK8ZK8ZK8ZK8ZK8ZK8_\ K8_K8`K8`K8aK8aK8bJ9bJ9cJ9dJ9eJ9fJ9gJ9hJ9iJ9jJ9kJ9\ lJ9mJ9mIAmIAmIAmIAmIAmIAm } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================