FOTD -- February 27, 2010 (Rating ?) Fractal visionaries and enthusiasts: Today's image is a different view of the same rectangle that exists in the Julia set of the point -1.7435 on the negative X-axis of the Z^(2.003)+C Mandeloid. The difference is that instead of viewing it in the Julia orientation, we see it today in the Oblate orientation, which is defined by the imag(C) and real(Z) axes of the Julibrot. Viewed in this new orientation, the pincushion distortion of the pure Julia rectangle has vanished, leaving a nearly perfect, though slightly more eccentric rectangle. The pattern around the rectangle has also changed. It now is symmetrical with respect to the origin. The name "Same Old Rectangle" is self-explanatory. The question mark for a rating means that I am posting the image with no rating. The calculation time of just under 3 minutes may be bypassed by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Light snow fell all night Thursday and all day Friday here at Fractal Central. At post time, 10:30pm Friday, it was still snowing lightly, but only 2 inches or 5cm of fresh snow had piled up. The fractal cats, who dislike snow and almost every- thing else connected with winter, showed their dissatisfaction by going into their sulk postures by the heat, where they were sure to not be overlooked. My day was occupied by sweeping away the snow and generally doing little else. The next FOTD will be posted in 24 hours. Only a not-totally-unexpected antiquing trip could prevent it. Until then, take care, and what do the big-time thinkers think about? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Same_Old_Rectangle { ; time=0:02:57.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/6494.7/0.0159/90/76.631 float=y params=0/90/0/90/-1.7435/0/0.00019/0.07388/2.003/0 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=========================================