FOTD -- January 22, 2004 (Rating 4) Fractal visionaries and enthusiasts: The magnitude of today's image is around 0.3, which is probably the lowest magnitude image ever to appear as an FOTD. The very low magnitude is necessary because the size of the fractal is many times the size of the classic M-set. In fact, I wonder whether to call today's image a fractal at all. There appears to be little of interest in the single large squashed bay with its single large squashed bud. True, an area of chaos does exist on the northeast shore, but this area is quite slow to explore, and hardly worth the effort. I present today's image mainly as a curiosity, to show what exists even in fractals (if such things are fractals) with a generating formula so close to unity, when the maxiter is raised to a value as high as the 50000 of today's image. While searching for a name for the image, titles such as 'Unibud', 'Squashed', 'Schmoo', 'Tubby', etc., went through my head. I finally noticed a certain feeling of relaxation about the image, and decided on the name "An Old Smoothie". The extreme maxiter and large expanse of 'inside' points makes the image a relatively slow one to generate. Combined with the rating of 4, which is all I could honestly give the image, this render time results in an overall value of 18. But don't take these values too seriously yet. The current system gives too much importance to the render time. I will soon develop a more appropriate way of deciding the overall value of the FOTD images. Most likely, I will divide the rating by the square root of the minutes required to render the image, and multiply the result by 100, which would give today's image a value of 85. We'll see what I come up with. As always, the finished GIF image is available at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another very cold day on Wednesday, with a high temperature of 28F -2C here at Fractal Central, kept the fractal cats indoors all afternoon. Their mood was one of surprising acceptance however, and only a small bit of tuna was needed to keep them happy. Today is starting cloudy but not so cold. The cats are already thinking of a romp in the yard. I have about the average amount of work to finish before I can call it a day. Until next FOTD, take care and smooth out those rough edges. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ An_Old_Smoothie { ; time=0:22:28.03--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor center-mag=-0.771347/0.955451/0.2969827/1/67.5/3.8\ 8578058618805e-016 params=1.003/0/1040/1500 float=y maxiter=50000 inside=0 logmap=-350 periodicity=10 colors=000`Am`Al`Ak`Aj`Ai`Ah`Ag`Af`Ae`Ad`Ac`Ab`Aa`\ A``B_`CZ`DY`EX`FW`GV`HU`IT`JS`KR`LQ`MP`NO`ON`PM_QL\ _RKZSJZTIYUHYVJXXMX_OWbQVeTUhVUkXTn_SqaRtcRweUudWr\ cZqc`nbcmbejahiajg`me`oc_rb_t`Zv_ZsaYqbYodXmeXjfWh\ hWfiVdjValU_mUYoTWpTTqSRsSUtRcuRmlUwdXzX_zObzGez8h\ z0jz2iz3iz4iz5hz7hz8hz9gzAgzCgzDfzEfzFfzGfze0zf7zf\ DzfKzgQzgXzgbzf`zeZzdXzdVzcTzbRzbQzaOz`Mz_Kz_IzZGz\ YEzYDz0yz7szEnzLizSczZZzeUzkPzlOzmOznOzoOzpOzqOzqN\ zrNzsNztNzuNzvNzvNzhTzVZzIdzKezMezNezPezQezSezTfzV\ fzWfzYfzZfz`fzafz_czZ`zYYzXVzVSzUPzTMzSJzQGzPDzOAz\ N7zM5zO8zQAzSCzTEzVGzXJzZLz_NzaPzcRzeUzfWzhYzj_zla\ zmczkfzjhzijzglzfozeqzcszbuzawzZuzXtzUrzNXzVTzSTzQ\ TzOTzHVzMTzQRzUPzYOzbMzfKzjIzvBzrEznHzkJzgMzdOz`Rz\ VSzYTz`TzcTzeTzgSziRzjQzlPzmOzoNzlcznVzpMzaMzJLzOM\ z31zGCzSMzdWzpdzpezoizomznqznuzszznxzjvzftzbrzUgzW\ pzZqzarzdszgszfnzfjzfezfa } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================