FOTD -- February 28, 2010 (Rating ?) Fractal visionaries and enthusiasts: As expected, (or feared), we did go on an antiquing expedition on Saturday. The reward was a new rug for the hallway and a fresh supply of murder-mystery novels for FL. Luckily, we returned in time for me to create a FOTD. Too bad it's a near- repeat. Yesterday's image showed the Oblate aspect of the strange rectangle. Today's image, which uses the same color palette, rotates the view 90 degrees to show the Rectangular aspect (imag(C),imag(Z), of the rectangle. Viewed from this direction, the rectangle itself appears pretty much the same, while the pattern around it has shifted from origin symmetry to Y-axis symmetry, (The frame is rotated 90 degrees). Actually, the symmetry is illusory. A close examina- tion will reveal small differences between the upper and lower halves of the image. I named the image "A Wrecked Tangle", which is a play on the word 'rectangle'. I gave the image a rating of a question mark -- the reason -- how many times must we be treated to the same rectangle? The calculation time is under 3 minutes, a time that will not place an undue burden on the aspiring fractalist. The image may also be viewed and enjoyed by surfing to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. About 2 inches, 5cm, of additional snow fell overnight Friday here at Fractal central. Saturday was cloudy and blustery, with a temperature of 39F +4C and occasional showers of snow. The fractal cats cared more about keeping close to the heat than the outside conditions. Despite the antiquing expedition, my day was good enough. The next FOTD will be posted in 24 hours, more or less. Until then, take care, and forget a meaningless posi- tive attitude, have positive results. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= A_Wrecked_Tangle { ; time=0:02:57.58-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/-0.0049947\ 0191150570/7730.625/0.01592/90/0 params=90/90/0/90\ /-1.7435/0/0.00019/0.07388/2.003/0 float=y maxiter=32767 inside=0 logmap=76 periodicity=6 colors=000CD6DE7DF8DG9DHADIBDJCEKDELEEMFENGEOHBPID\ QJERKFTNGWRIYVJ`ZKccLehNhmOkrPnvHpzMqzQqzUrzYrzasz\ mzzzzzetzarvYmrUjmRfhNbcJZZFVUBSP8PK9MF9KA9I8FG6KE\ 4PC3UF5ZI6cK8hN9mPBrSCvUEzXFzZGvZHrZImZJhZKcZKZZKU\ YLSXLTXLVWMXWMYVM_VMaUNbTNdTNfSOgSOiROmSGjROgQWdPc\ aOkRCwWIt_NrcSohYmlbjpghxnktlfqjanhYkfThdOtw0ecKRK\ bCEaC1uE6pGBkIGgKLbMQZOVUQ_QSdLUiHWnCZt2Ys8YrEYqKY\ pQYpVYo`YnfYmlcuuYmqSfmMZiGSeAKa4AX5DY5GZ5JZ5M_5P_\ 5S`5V`DZXLbUTfR`iNhmKpqHzzAxwCwtEvrGuoItlJsjLrgNqd\ PjwMmlOpbQsSRvITx8Ux7Rx6Px6Mx5Kx4Hx4FpCGhJHaRIUYJZ\ q1NdK9UfBTdCSbER`FQZHPXIOVJNTLMRMLPOKNPJLhHNZILQJJ\ 29RAEMHJHOOCTP4jfllbjm_inXhoUgpRfqOevEatIcrLdpOfnR\ gmUikXji_lgbmdjsegpfengblh`jiZhjcfkcdlcamc_ncYocWp\ cUqcSrmQpmOnmMmmKkmIimGhmEfmCzzAzz8zz6zz3zz5zz6zz8\ zz9zzBzzCzzEzzFzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================