August 5, 2012: On the Sea Floor | Aug. 4 | Aug. 6 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
image lies
in the parent fractal that results when Z^(-1.1) is subtracted from
Z^(1.1) and (1/C) is added on each iteration. This parent is
a
comet-like thing, a Mandeloid with a tail sprouting from its East
Valley and curving up and around to the north and west. The
buds
around the main bay are arranged in an unusual manner, with the
inconspicuous main period-2 bud located on the southern shore
line. Today's image lies in the filament network of the
period-10
bud on the northwest shore line, which is as large as the main bud.
I named the image "On the Sea Floor" when something about it reminded
of an underwater scene. I could just as easily named it
something
like 'all curves'. I cannot find a single straight line in it.
The rating of a 6 is boringly average, but even an average fractal is
worth a peek. I might have raised the rating with more work
on
the colors, but laziness won the day. Luckily, the image
takes
only 1-1/4 minutes to run on a not quite SOTA machine. On a
true
fireball unit it will finish in a matter of seconds.
The day dawned cloudy and muggy here at Fractal Central. The
clouds broke late in the morning, leading to a partly cloudy, muggy
early afternoon, with a temperature that reached 90F 32C. But
a
series of heavy thunder-storms moved in by mid-afternoon, dropping the
temperature to a much more pleasant 72F 22C. The fractal
cats,
always at their laziest in warm weather, passed the day sleeping and
watching the pigeons that appear to have a roost nearby.
With the work caught up and nothing pressing to do, the humans mostly
took things easy during the day. The next FOTD will be posted
before long. Until then, take care, and what ever happened to
the
face on Mars, which some say was constructed as a sign by Tesla and
Marconi when they reached the planet in anti-gravity flying saucers
some time around 1940? (Don't spoil the fun by telling that
the
'face' was merely a peculiar arrangement of light and shadow, and Tesla
and Marconi never did build a flying saucer factory in a secret enclave
that they founded in the remote South American jungle and dedicated to
advanced science.)
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
On_the_Sea_Floor { ; time=0:01:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip float=y
center-mag=-0.3858061349760351/+2.076060642805168/\
2.1e+008/1/62.5/0 params=1/1.1/-1/-1.1/0/0/0/0
maxiter=750 inside=0 logmap=115 periodicity=6
colors=000XYzWWuSWqOTmKQhGNcCKZ9IU6GR3GO0HMJINIJUI\
K`HLgHMnHMuF_vPzzDzxBqq9hj7_c6RX4IQ29J10CSDAhQ9nZF\
sfKxmQzpSxoVsmVqjVlfVfbVc_V_WVXSVUQXSNZQK`NHaLGUJD\
KH70zbav__tYZsVXrTWrQUpOTqMSnJSlGSjEShBSe8Sc6Sa3S_\
1S_6Q_BO_GM_LK_QI_VG_ZFYYTWXeVWrZ`laefdj`hoVktPnyJ\
4sBBrDIqEPpGVoHanJhmKolMukNvRcv6toDphJmaQjVWgObdHh\
aJkRMlSPmTiUfe__aeUYkOUqIQvCarTloihmidki`iiXgiTfiU\
cgVaeV_cWYaXV_XTYYRWYPUXQYXQ`XQcWRfWRiWRlaNegJZmFS\
sBLx7Fa7OF7XK8WO8VT9UX9TaASeARiAQkITlQVmYYne_ombpu\
dqpeqkfqggrbgrZhrUirQimVkiZmdbo`fqXksSouOswKwyVqle\
k_peNz`BrUMjOXbIfYNeUSeQXeMaeIfdEkdApd6td8u_9vWAvS\
BwOCwKDxGExCCtAAp98m87i65f53b42_3GMNT9eWFZYLS_QLaW\
Ec`8OQ6NSENTMNUTNV`NWgNXoNYvJCzPIzVOz_TzeZzjclqTzx\
IzlQz`YzPezElzFizFfzGdzGazG_zzazzcKzezzgOzizznSzqz\
ztQzwzzzIzzzzzAzzzzz3zzzzz2zzzzz1zzzzz0zzzzz6zzzzz\
HzzzzzTzzzzzczzzzzdzzzzzB }
frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================