Fractal of the Day (FotD) by Jim Muth

FOTD -- June 26, 2009 (No Rating)

Fractal visionaries and enthusiasts:

Things did not go according to plan at Old Fractal Central on Thursday, so I had to remain there overnight and finish the work Friday morning. When I got back to New Fractal Central at 5pm Friday, it was too late for a proper fractal search. I filled in the fractal blank with today's hasty but curious distortion of Seahorse Valley.

The picture itself is not much to look at, but it calculates in a mere 15 seconds, so little time will be wasted in running the included parameter file. The question is: which part of the image is distorted -- the recognizable Seahorse Valley shape inside the narrow open slot, or the stretched-out stuff in the foreground which is covering parts of the valley?

Actually, it's the Seahorse Valley shape that has been distorted. To return the image to its undistorted appearance, reset the magnification to 0.75, the X-Magnification Factor to 1, the Rotation Angle to zero and the Skew Angle to zero. Seahorse Valley is still in there, but it's a bit squeezed.

Due to the hurried nature of the image, I gave it no rating. The brief calculation time may be avoided by viewing the finished image on the FOTD web site at:

http://home.att.net/~Paul.N.Lee/FotD/FotD.html

Very warm but otherwise harmless weather prevailed at both Old Fractal Central and New Fractal Central on Thursday, with a temperature around 90F 32C at both places. The fractal cats had little to say. The next FOTD, the one for June 27, will be not be posted on schedule, but neither will it be as late as today's FOTD. Until whenever, take care and be conservatively liberal.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE======================================= Seahorse_Valley-26 { ; time=0:00:15.29-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm float=y formulaname=SliceJulibrot4 logmap=yes periodicity=10 center-mag=0.00692656/-0.00129906/6.290885/0.05253/\ -7.5/-71.8776818713661783 inside=0 maxiter=2500 params=-43/-93/-85/88/-0.75/0/0/0/2/0 colors=0007cvA`tCYsEWrHTpJQoLOnOLlQIkSGjVDhXAgZ8fa\ 5dc2ce0bc2`b4Z`5X_7WZ8UXASWCRVDPTFNSGMRIKPKIOLGNNF\ LODKQBJSAHT8GV6FW5GV8GVBGUEGUHHTKHTNHSQHSSIRVIRYIQ\ `IQcJPfJPiJOlJOnMRkOThQWeSYbU__WbXYdU_gRaiOckLenIg\ pFirDjlIkfMl`RmVVnP_oJcpDhq7lr9jrBhrDfsFesHcsJatL`\ tNZtPXuRVuTUuVSvXQvZPv`NwbLwdKwfIxhGxjExlDynByp9yr\ 8zt6zv4zx3v3ru4su5su5st6st6st7ss7ss8ss8sr9trAtrAtq\ BtqBtqCtpCtpDtpDtoEuoFuoFunGunGunHumHumIumIujIrgIp\ dInbIk_IiXIgVIdSIbPI`NIYKIWHIUFIRCIP9IN7ILBJNEKOHK\ PKLQOMRRMSUNTXOU_OVbMSeLQgKOjILlHJoGHqEEtDCvCAjDJZ\ DRND_BDg0DoACqKCrUCtcBumBwwBxvCvuCttCrtCpsCnrClrCj\ qChpCfoCdoCbnC`mCZmCXlCVkCTjCRjCPiCNhCLhCJgCHfCFfC\ DgEChGCiHCiJCjLCkMBkOBlQBmRBmTBnVBoWAoYApZAq`AqbAr\ c9se9sg9th9uj9ul9vm8wo8wq8xr8yt8yu8vsFsqMppTnmWljZ\ kg`idcgaef_hdXkbUmaRp_OrYLuXJwVQmTWdRaVPhMNnCMt3Ns\ 4Or5Or6Pq7Pq8Qp9QpARoBRnC } frm:SliceJulibrot4 {; draws most 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=========================================