August 12, 2012: Zexpe Mystery | Aug. 10 | Aug. 13 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
There
was no FOTD
for the 11th. FL and I took the day off antiquing and
hiking. But there certainly is a FOTD for the 12th, and here
it
is.
The image is another 7-rated scene in the Zexpe fractal. The
location is perilously deep in one of the filaments extending from the
period-5 bud on the northwest shore line of the main bay.
I named the image "Zexpe Mystery" because even though the exponent of Z
is fractional, the image holds no apparent discontinuities.
The
laws of mathematics remain intact however, since the breaks certainly
are there. I merely concealed them.
There are eight apparently unbroken arms radiating from the central
minibrot and spreading out beyond the edges of the image.
Inside
these eight arms we find 22 smaller, apparently unbroken
arms. 22
is very close to 8*(e), which is just what would be expected.
(The next inner ring should contain around 60 arms, though I have not
counted them.)
The very brief calculation time of 30 seconds will eliminate the risk
of impatience for those who find Zexpe images boring.
Tomorrow's FOTD will show a scene in one of the other Zexpe
fractals. After all, with the complex log function having an
infinity of values, an infinity of Zexpe fractals actually exist.
Pleasant weather prevailed here at Fractal Central today, with partly
cloudy skies, low humidity and a temperature of 81F 27C. The
fractal cats enjoy such conditions and showed their pleasure by a burst
of kittenish behavior. The humans passed the day recovering
from
yesterday's trek. The next FOTD will be posted in 24
hours.
Until then, take care, and don't worry too much about whether God
exists or not. These might not be the only two possibilities.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
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frm:MandelbrotN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=z^(b)+c,
|z| <= 16 }
END PARAMETER FILE=========================================