|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Today's image, with all its Moiré patterns, lies in the eastern part of the large period-2 bud of the Mandelbrot set. I named it "Ogive to Infinity". An ogive is a pointed gothic arch, and the ghostly arch in the background of today's image certainly is pointed. The buds on the arch are of various shapes. Yesterday's image was a close up of a similar bud on a similar ghostly arch in the vicinity of East Valley. The rating of a 7.25 includes a 1/4 point bonus for the effort I put into the coloring. If I had not been so hasty, I might have earned a 1/2 point bonus. The image is rather striking; the calculation time of 25-4/5 minutes is also striking. But it should be no surprise that the completed image is posted on the FOTD web site at: Today's image is actually many images in one. Every change of size or resolution totally changes the pattern inside the arch. Sunday began with dense fog here at Fractal Central, but by midday a breeze arose from the west and swept away the fog almost by magic. The rest of the day brought lots of sun and a temperature of 45F 7C. The fractal cats were unusually quiet for some reason. My day was lazy. The next FOTD will appear in 24 hours. Until then, take care, and is it real or isn't it? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Ogive_to_Infinity { ; time=0:25:49.45-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=HyperMandelbrot2 passes=1 periodicity=0
center-mag=-0.861346/0/35.65062/1/90/0 logmap=-1068
params=0/0/0/0/1/0/1e-100/0 maxiter=15000 inside=0
float=y
colors=00091OA2OA2NA3NA3NB4MB4MB4MB5MA5MA6M96M86M8\
7M87LA8MA8LA9LB9LC9LCAKDALDBKDBLFBKFCKFCJFDKFDJGEJ\
GEIGEIGFHGFHHGGHGGHGFHHEIHDIIDIICIICIJCJJCJKCJKCJL\
CJLDKMEKMEKMEKNELNHLNGLOGLOHLPHMPIMPIMQKMQJMRINRLN\
SLNSLOSLOTLOTMPTMPUMPUMQVNQVNQWNRWNRWNRXOSXOSYOTYO\
TZOUZPUZPV_PV_PW`QW`QXaQXaQYaQYbRZbRZcR_cR_cR`dS`c\
SadSadSbdVbeUceTceScfRdfQdfPegOegNegMfhLfhKfhKghKg\
hKghKhiKhiLhiLiiLijLijLjjMjjMjkMkkMkkMkkMlkNlkNllN\
llNmlNmlOmmOmmOnmOnmOnnPnnPonPonPooQooQpoQpoRppRpp\
RqpRqpSqqSqqSrqSrqTrrTrrTsrUsrUssUssUtsVtsVttVttWu\
tWutWuuXuuXvuXvuYvvYvvYwvZwvZww_ww_xw`xw`xx`xxayxa\
yxayybyybzybzyczyczzczzdzzdzzezzezzfzzfzzgzzgzzhzz\
hzzizzizzjzzjzzkzzkzzlzzlzzmzzmzznzznzzozzozzpzzpz\
zpzzqzzqzzqzzrzzrzzrzzszzszzszztzztzzuzzuzzvzzvzzv\
zzwzzwzzwzzwzzxzzxzzxzzxzzyzzyzzyzzyzzyzzxzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }
END PARAMETER FILE=========================================
|
times.
