January 26, 2006 | Jan. 25 | Jan. 27 | 2006 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image is a Julia set of the Z^(1.3)+C Mandeloid as it appears
15 levels up the complex-log hyperspiral. The corresponding
Mandel point is located in the center of a squashed bud with a
periodicity of 7, which lies on the southeast shoreline of the main bay
of the Mandeloid.
The image was rendered in pretty much the traditional manner, with
equal iteration bands on the 'outside' and extra interest added by
setting the inside to 'zmag'.
I found the image in under 2 minutes and colored it in under 5, hardly
enough effort to earn a name or rating for the image. The
render time of 1-3/4 minutes is true on my 10-year-old 200mhz
computer. On the current fireball units, it should render in
around 15 seconds.
Chilly temperatures and gripping winds here at Old Fractal Central on
Wednesday kept the fractal cats confined to quarters. The
extra treat of mackerel came as a surprise, but it kept them reasonably
happy. My day was kept busy with a combination of the usual
work and the moving preparations. The forecast is for a
90-percent chance of a FOTD in 24 hours. Until that
transcendental moment arrives, wait with bated breath.
Jim Muth
jamth@mindspring.com
START PARAMETER FILE=======================================
FOTD_for_26-01-06 { ; time=0:01:45.31--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=JuliaBC center-mag=0.0071442/-0.115288\
/0.5788618/1/10/-1.23373533611470521e-014 passes=1
params=1.3/0/15/0/0.7152/-0.3012/0/0 float=y
maxiter=500 inside=zmag logmap=yes periodicity=10
colors=000rQQECHH9GK6FN3EQ0DT3GW6JZ8LaBOdERgGTjJWm\
LYpLRsLKvLDyL7xUBxaFwiIwqMwyPuwQsvRquSosTmrUkqVjpW\
dbTZQQTDNPKLLRJHYHmsF9kDDhJGePJbUM__PYd3xPaDFcPUe_\
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yoJxkIwhHvdGu`FtYFlSMeNTZHZRCeK6lD1rG8iIF`KMTMTKO_\
BQf3W`AaVHgPNmJUrD_qC_pCZpCZoCYnCXmCX_BWlBWkBVjBUz\
hUiAThATgASfARfAReAQd9Qc9Pc9Ob9Oa9N`8N`8M_8LZ8LY8K\
Y8JX7JW7IV7IV7HU7GT6GS6FS6FR6E920Q6DP6DO5CO5CN5BMY\
zL5AL49K49J48I47I47H46G36F35F34E34D33C23C22B21A219\
206bD7`C7ZB7XB7VA7T97R98Q88O78M78K68I58G58E49D39B3\
992971951930_qTZoSYmRXkQWjPVhOUfNTeMTcLSaKR`JQZIPX\
HOWGNUFMSEMRELPDKNCJMBIKAHI9GH8FF7FD6EC5DA4C83B72A\
51930SJURITRISQHRQHRPHQPGPOGPOFOOFNNFNNEMMELMDLLDK\
LDJLCJKCIKCHJBHJBGIAFIAFIAEH9DH9CG8CG8BF8AF7AF79E7\
8E68D67D56C56C55C44B44B33 }
frm:JuliaBC { ; Formula by Andrew Coppin
e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
r=real(p2)-q, C=p3, Z=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z|< p4+100 }
END PARAMETER FILE=========================================