October 11, 2011: Conventional Limits | Oct. 10 | Oct. 12 | 2011 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image is named "Conventional Limits". The name refers
to
the image's magnitude of over 3*(10^13), which is right at or a little
beyond the useful limit of the conventional math routine.
The image is a very high iteration scene rather deep in the north
branch of Seahorse Valley. The logmap value of 91500 is
perhaps
the largest in FOTD history, though I do not keep a record of
this. The maxiter of 1000000 has been exceeded many times
however. The record is 2147483647, which is the maximum value
permitted by the program.
The calculation time of only 5-1/4 minutes is due to the speed of the
type=mandel formula on my 2000mhz machine. On the old 200mhz
unit, which still sits idly on a nearby table, the image would take
well over an hour to finish. (An arbitrary-precision version
would take about one week on the old machine.)
The rating of an 8 is the highest in several days, once again showing
that the wonders of the Mandelbrot set are nowhere near being
exhausted, and never will be. (Regardless of how much is
taken
from infinity, an infinite amount always remains.)
Today began with dense fog here at Fractal Central. The fog
lifted in the late morning, revealing a partly cloudy sky.
The
temperature of 73F 23C was pleasant for mid October, but the pleasant
conditions will soon end. The forecast is for rain tonight,
as
well as Wednesday, Thursday and Friday. The local farmers
prayed
for rain all through June and the first half of July. With
the 32
inches 80cm of rain that has fallen since the middle of July, I feel
their prayers have been adequately answered. (And from what I
hear on the local news, so do they!)
The fractal cats, who always keep their paws dry, spent the day
plotting mischief, while FL and I kept the mischief from
happening. The next FOTD will be posted in 24
hours. Until
then, take care, and how will the world ever agree on peace when it
can't even agree on which religion is true?
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
ConventionalLimits { ; time=0:05:16.54-SF5 on P4-2000
reset=2000 type=mandel passes=1 float=y inside=0
center-mag=-0.74999775055745050/+0.003016340258101\
39/3.2935e+013/1/-37.5/0 params=0/0 maxiter=1000000
logmap=91500 periodicity=10 mathtolerance=0.05/1
colors=000cWkuWkuYiu_fuadudbuf`uhZujWulUunSupPurNu\
tLuvJuxHuzHsxHqvHptHnrHmqHkoHjmHhkHfiHegHceHbcH`aH\
__HXYHVTHTQHROHPNHNMHMLHLKJLKHLKHMLHOMHROHUQHWSHYU\
H_YHaaHdeHfiHhmHjqHltHnvHpyJrzLszNtzPtzRszTszVrzWq\
zWqzWqyWpyWpxWowXowXnvXnuXnuXmtXmsXlsYlrYkqYkqYjpY\
joYjoYinZimZhmZhlZgkZgkZgj_fi_fi_eh_eg_dg_df_ce`ce\
`cd`bc`bc`ab`aa``aa``a`_a__a_ZaZYaZYaYXbYWbXWbXVbX\
UbXUbWTbWTbVSbVRbTQaURbVRcWSdXTeYTfZUg_UhaVibWjcWk\
dXleYmfYngZohZpi_qj_rk`slatmaunbvobvpcvsevqcvobvm`\
vk_uiZsgYreWpcVoaUm_SlYRjWPiUOgSNfQLdOKcMIbKH`IG_G\
EYEDXCBXDCWECVEDVFDUGETHESIFRJFQJGQTYPmYhlsekvcxH5\
pLIgPUZTfQXrUSmXNh_IcbDZe9UP7E800S7Bk9MxBXxNauYeph\
infcmeZkcTjbOhaIg_NeZUdYcXScQMcJHAQFEXDHcBLi9Op7Sw\
5Vx4YiAMQFB6K5QQHiVXx_lx_mu_nu_oKGPLHOMHNNIMOILOJL\
PJKQKJRKISLHTLGTMFUMEVNEWODXPCYQBZRA_T9_V8`X8`Y7aY\
6bY5cY5cY5dY5eY5eY5fY5fY5 }
END PARAMETER FILE=========================================