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Fractal of the Day
by Jim Muth
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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. Those without fireball units or with over-qualified fireballs can enjoy the image by downloading it from the FOTD web site at: 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 jimmuth@aol.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_\
hgjv`grUenNcjHieBn`5sWBtYHu_NvaTwcZxedyfirZmkRqdKp\
gOojRnmVnoYphWrbUsXSuQQvKOxEMy8LzGKzOKzWKzcKzkKzsK\
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=========================================
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times.
