FOTD -- February 01, 2004 (Rating 4) Fractal visionaries and enthusiasts: Today's image is named "Golden Bud". This does not imply that the bud is a golden color. I gave it that name because the parent fractal was created by using the golden ratio, or 1.618, twice. Actually, the bud, or the interior of the bud, is an electric blue color. The generating formula of the image is Z^1.618+C. This means that each bud in the resulting fractal will have 0.618 part of one lobe. But unlike the buds of the whole Mandeloids, where all buds are of a similar shape, the buds of the fractional Mandeloids have no fixed shape. The missing part of the next- higher whole bud can take any shape whatever. The next-higher whole bud in today's instance is the near-per- fect circle of the buds of the classic Mandelbtot set. The 0.382 part of a circle that is missing has been eroded rather equally from the entire perimeter, leaving a rather squat bud with assorted nooks and crannies. Some of these crannies might hold some interesting scenes. The drawback to the exploration is the extreme slowness of the area. I wanted to give the image a rating higher than the 4, but in all honesty I could not. I worked on it for my own amusement rather than to make as good a picture as possible. Combined with the render time of 22 minutes, the image has an overall value of 18. The completed GIF image is available on Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It remained very cold all day Saturday here at Fractal Central, and as a result, the fractal cats remained very close to the heat. At one point, Thomas did check the conditions on the porch, but the temperature of 19F -7C and lack of direct sun was far too chilly for his ears. He turned around after only two minutes and came back inside to enjoy the heat. This morning is starting about the same; I suppose the cats will have a repeat day. So far, my day has been uneventful, but the fractal lady has that 'lets go shopping for antiques' look in her eye. I fail to see what's so interesting about stuff that others no longer want, but who knows . . . on rare occasions something worthwhile does turn up. One thing certain to turn up however is the next FOTD, which will appear tomorrow. Until then, take care, and older is not always better. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Golden_Bud { ; time=0:22:18.97--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=mandelbrotbc1 function=floor center-mag=+0.19019301420027440/-0.004400056781287\ 68/31007.75/1/24.86/-1.94137206310784904e-011 params=1.618/0/1.618/0 float=y maxiter=15000 inside=255 logmap=187 periodicity=10 colors=000bXqbYocZnc`lcakdbiLQHOMHQHGRIHRIHRJHRJIR\ KIRKIRLJRLJRMJRMJRNKRNKROKROLRPLRPLRQMRQMRRMUFRSLO\ RRMPWJOaHNfFMeGMdHLcILcJKbKKaLJ`MJ`NI_OIZPHYQHYRGX\ TGXUFWWFWXEWZEV_DV`DVbCUcCUeBUfBThATi8RkATjBUiCViE\ WhFYgGZgI_fJ`eKaeMcdNdcOecPfbRhaSiaTj`Vk_Wl_XnZZoY\ _pY`qX`tVasWarXaqXbpYboZbnZcm_cl_ck`cjadiadhbdgcef\ ceededdecefbffaff`gg_hgZhgYikctghpgXiZJVP4IR5HS5HU\ 6HV6GX6GY7G_7F`8Fb8Fc8FcCHcFJcILcLNcOPcRRcUTcXVc`X\ ccZcf`cibcldcofcrhcujdzfcxkcvpcttbrybpzcrzbnzajz`f\ z_bwZZsZVpYRlXNhWJeVFaWASVBWVCZUDaUDdUEgTFjTFmSGpS\ HsSHvRIyRJzQHzRJzSKzSLzTMzTNzUOzUPzVQzVRzWSzWTzXUz\ YVzYWzZXzZYz_Zz__z``z`azabzaczcczdczeczgczhcziczlb\ zkczjczjdzidzhdzhezgezgezffzefzefzdgzdgzcgzbhzbhza\ hzaiz`iz_iz_jzZjzZjzYjzXjzWjzVlzUlzTmzSmzRozQozPpz\ OpzNrzMrzLrzLrzNszOszQszRszStzUtzVtzXtzYuzYuzZuzZu\ z_vz_vz`vz`vz`vzavzavzmzz } 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==================================