Fractal of the Day
by Jim Muth
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FOTD -- June 27, 2009 (Rating 6)
Fractal visionaries and enthusiasts:
Today's image shows an unfamiliar aspect of Seahorse Valley. In the image, the valley complex is viewed in a direction very close to the Oblate. In fact, it is sliced in a direction rotated only 0.5 degree toward the Parabolic direction.
This slight rotation means that the lower half of the image skims the chaotic east (main bay) side of the valley, while the upper half shows the more organized detail on the west side.
As is the case all over the valley complex and in all orientations, those little peanut-hole things are everywhere, though with such a high maxiter they are filled in. The curious loops turn into attractive spirals when viewed in the Julia direction.
The rating of a 6 seems about right for an image with more mathematical interest than artistic worth.
The calculation time of 12-1/2 minutes is slow, but the finished image may be seen on the FOTD web site at:
Heat, haze and humidity prevailed here at new Fractal Central on Friday, with a temperature of 88F 31C and a slight thunder-shower late in the afternoon. The fractal cats enjoyed things as much as they could.
The next FOTD will be posted within 24 hours. Until whenever, take care, and get green for all it's worth.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Seahorse_Valley-27 { ; time=0:12:32.24-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm float=y
formulaname=SliceJulibrot4 inside=0 logmap=3 passes=t
center-mag=-1.46642/0/20.08762/1.9132 periodicity=10
params=0/0/90/0.5/-0.75/0/0/0/2/0 maxiter=50000
symmetry=none
colors=000bJAcJAdJAeJAfJAgJAhJAiKAjLAkMAlNBmOCnPDo\
QEpRFqSGqTIqUJpWKpYLp_NoaOocPoeQnfSnhTniUmkVmjWmiX\
mhYlgZkf_je`idahcbgbcfade`ed_fcZgbYhaXi`Wj_VkZUlYU\
mXUnWUoVUpUUqUUrUUsUUtSUuQUvLUwGUwBUw6Uv2Uu6Ut9UsC\
UrGUqJUpMUoPVnTWmWYlZ_kbajecihehkfgigfggeegddhcbhb\
`haZi`Yi_WiZUjYSjXRjWPjVNjUNjTMjSMjRMjQMhPMfOMdNMb\
MM`LMZKMXKMVKMTKMRKMPKMNLMLMMJNMHOMFQMDRMBSM8TM6UN\
4UM5UL5UK5UK5UJ5UI5UI5UH7UG9UFBUFCUEEUDGUDIUCKUBMU\
BOUAQU9SU9UUAWUFYUK_UPaUUcUZeVcgWhiXmkYrkXviXzgXve\
WrcWmaWh_WcYVZWVUUVPSVKQUJOULMUMLUNJTOITPGTRFTSEST\
CSUBST8TVASWBSXCSYDSZER_FR`HRaIRbJRcKQdLQeMQhOQmPP\
qQPtRPvRPuQQqPRmOSkNTiMVgLXeL_cKcaKf_JiYJkWInUHrSI\
sQItOIuMJvKJwIJxGJyEKzDKzDKzDKzFLzHMzJOzKQzMSzOUzP\
WzRYzT_zUazWczYczZcz`cvbcscctahr`mp_roYvmXzlWzjUzi\
Tzgczfmzftz`zzVzzOzzIzzDzzCzzczzhzzmzzrzzvzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
frm:SliceJulibrot4 {; draws most slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a),
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=z^(p5)+c
|z| <= 9 }
END PARAMETER FILE=========================================
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