Fractal of the Day (FotD) by Jim Muth

FOTD -- June 02, 2009 (Rating 4)

Fractal visionaries and enthusiasts:

Today's image is a quickie, fast and simple enough to get the FOTD back on its regular schedule.

The image is a view of Seahorse Valley (believe it or not) sliced in an orientation 15 degrees from the Oblate direction toward the Rectangular direction.

The narrow line across the center of the fractal is actually the space between the two branches of the valley as seen from the west side. We are in the large period-2 bud, looking east toward the valley wall that separates us from the main bay of the Mandelbrot set, which from this angle lies a short distance behind the screen.

Bits and pieces of seahorse tails are scattered about the scene, though most of them must be stretched quite a bit before they become recognizable. But search as we may, we would never find a Mandelbrot minibrot. They do not exist at this angle.

The name of the image is only a catalog number. The lowly rating of a 4 is all I could give an image that is basically a space filler.

After yesterday's marathon calculation time, today's 7-second time is a blessed relief. And as always, the image is posted for instant satisfaction on the FOTD web site at:

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

A mix of sun and clouds, and a slightly chilly temperature of 73F 23C made Monday acceptable for the fractal cats here at Fractal Central. They had a bit of excitement when one of the local stray cats found and made short work of a baby robin that had just fallen out of its nest. Luckily, FL missed the sad event.

The next view of Seahorse Valley will be posted in 24 hours. Until then, take care, and if I were the Big Guy up there, I would never have designed a world where living creatures need to kill and eat other living creatures, and then said to man, "thou shalt not kill".

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

START PARAMETER FILE======================================= Seahorse_Valley-02b { ; time=0:00:07.43-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=SliceJulibrot4 logmap=yes periodicity=10 center-mag=-0.121105/0/1/1/90/0 float=y inside=0 params=15/90/0/90/-0.75/0/0/0/2/0 maxiter=15000 colors=000NEOLEQKERJDSIDTHDVHCWHDXHEYHFZFKYKOYPQYU\ TYZWYcYXh`XmcXreXvhXzjXufTmcPc_MUXIJTLMQPKVUIZZHbc\ FfhUimcmrmqvuuzxxzzzzwxzpuziqzcnvYkrUhmUehXcc_aZb_\ YeYXgXWVWkIVzHWvGWrFWnFWjEXfDXbDX_CXWBYSBYOAYK9YG9\ YD7a76e17d68dA9dEAcIBcMBcQCbVDbZEbbFafGajGanEcjDdg\ CedAfa9gZ8iW6jT5kQ4lN3mKQaOkRSiTVgUXfVZdWacYcaZe`_\ hZ`jYal3mn9nmEolJpkPqjUriZshctgiufnveswdxxdwiMwV4x\ S8xQBxOExMHxKLxIOyFRyDUyBYy9`y7cy5fLx7Rs9WnAaiBfdD\ l_EqWFG_jL`iPaiTbhYbhachedgjdgnefrffvffuc_t`TsZNrW\ GqT9qR3iMDaINUDXM9fE5oG9pHDqJHrKLrLOsNStOWtP_uRcvS\ fwTjwVnxWryXuyQcmJNbC6SDFYEOcFXiGeoGntKhiOcZScOWcD\ Zc3Wc6Tc8QcBNcDKcGIcIFcLCcN9cQ6cS4cU0z00y00y00y00y\ 00y00x00x00x00x00x00w00w00w00w00zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0z\ z0zz0zz0zz0zz0zz0zz0zz0zz } 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=========================================