FOTD -- October 13, 2009 (No Rating) Fractal visionaries and enthusiasts: Late fractal alert! New Formula Alert! No, this is not how the bathroom wall here at Fractal Central is decorated, but some fractal fanatic somewhere might find it interesting. As for me, I prefer the old-fashioned plain square tiles. I'm not sure whether today's image is a fractal or not. I came up with the formula while noodling around with some old formulas in one of my overstuffed and forgotten formula files. With four changeable functions, this formula creates an apparently limit- less variety of fractal tessellations of any chosen point of the Mandelbrot set. In today's image I chose the large minibrot on the main stem, which appears, shining brilliantly, at the tile intersections. The formula name "TileWall" is also the name of the image, and this well might be the only time I use this particular formula. The reason for the name is apparent once the image is seen. Since I'm not even sure the image is a fractal, I could give it no rating. The calculation time of 1 second is ceratinly one of the briefest of all time. The trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will not be quite as fast, but it will be more fun. Heavy clouds and a chilly temperature of 50F 10C put a damper on all outdoor activity here at Fractal Central on Monday. The fractal cats slept through most of it, doing all their sulking in their dreams. Otherwise my day was average. The next FOTD will be posted in 24 hours. Until then, take care, and what the heck does the <logmode=fly> entry in the parameter file mean. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Tile_Wall { ; time=0:00:01.13-SF5 on P4-2000 reset=1960 type=formula formulafile=jim.frm formulaname=TileWall function=conj/cos/ident/cos passes=1 center-mag=0/0/0.1032964 params=-1.766/0 float=y maxiter=500 inside=253 logmap=yes logmode=fly symmetry=xyaxis periodicity=10 colors=000eUOaVPYWQUWQQXRMYScpzcpzcpzapzkpztoD0030\ 03aPLVdNP`Q7I3DQGdIJUQO_W4YW7WXAUXDRXGPXJNYMLYPi5a\ e9`aDZYIYUMWQQVMUTZvcWqaTlZPgXMbU`S7XTBUVGQWKMXOpg\ NgdO_bQR_RPvWMkUUTJOWOkkEfiGafJXdLSaON_QvWphXgWY_u\ OJaTOarISgNmAihEfcIcYM`TQYOUV5X67X99XCBYGDYJFYMHYP\ TSTOVS5sl8ohBjdEf_HaWQ49OCEMJJKROsBE`NLKvMJsNJoOJj\ PJfQJaRSEuRHqQJmPMiNOfMRbLTZKWVTnRRkRPhROeSMbSK_SC\ 6`FGYHPVnq8N4aLEYKOVdvi`qeWlbSgZNbV0Zp0Rh3Se6TbAV_\ DWXGXUbKNTRQUaKS`LR`MP_ONZPMZQKYRLidLgbKe`KcYJaWJ_\ UnoVs6JfGMVPP72WalynVtzElqMfhU```VShPJpJXnJimJwkJm\ eNc`QTVUJPXTHVa9Uk1SiLfgcutlGohGidGd`G_XHUSHPOHJKH\ EGHDKLCOOARS9VV8ZZIabTegbhkmlpwotdUlN9eMAbMB_LCXKC\ UKDRJEOJELGRWEbeCnoAvy8sv7ms6gq5an4Vl3Pi2Jg1DdEOiQ\ ZnbhrnswdW`W8EOKSFWf7gtDgpJglPghWgeafagfYmfUsfQq_N\ oSLmLIkeTivbfvcctdareZofXmgUjgShhPeiHXSNceMaaL`ZKZ\ VLY71gX4eW6dV9bUzzzE_THZS } frm:TileWall {; Jim Muth ; p1=Mandelbrot set coordinates z=c=p1+.05*(fn1(fn2(real(pixel)))\ +flip(fn3(fn4(imag(pixel))))): z=sqr(z)+c, |z| <= 100 } END PARAMETER FILE=========================================