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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's FOTD is the second one I have found with the newly released Fractint version 20.3. Other than a few minor glitches in the evolver and view-window, which have been corrected, I have noticed no difference in the program performance. Of course, some of the changes involve features I rarely use. In yesterday's FOTD we examined stem area of the Z^(2.003)+C Mandeloid as it appears 1040 levels up the logarithmic hyper-spiral. Today we turn our attention to the west, and examine the 'East Valley' area of the Mandeloid. Unlike the main stem, which simply breaks into infinite bits and pieces, the East Valley area smears out into a broad flat wedge with jagged edges. Today's image is located in a narrow band of chaos on the southern edge of the wedge. I named the image "Quadropod". It reminds me of some fantastic animal with four translucent arms. Perhaps I should have named it 'Study', since I spent so much time studying the background colors and trying to create a smoothly blended gradient with no visible bands, a challenging task in GIF format with its meager 256 colors. Though the result is not perfect, I feel I came close enough to the goal of perfect smoothness to rate the image at an honest 8, which, combined with the render time of just under 11 minutes, gives an overall value of 73. (To find the overall value, the image rating is multiplied by 100 and the result divided by the render time in minutes, making the render time like the money one must pay to buy an item. The shorter the render time, the more value for the money spent.) As always, the render time may be eliminated entirely by downloading the finished image from Paul's web site at: The cold rain continued most all day Sunday here at Fractal Central, changing to a few snowflakes just before ending around sunset. The high temperature never made it above 36F 2C, which is far too chilly for the cats' fractal ears. The duo spent the day sleeping by the heat. Today is starting sunny, but it is very cold again. We'll see how the cats make out. My day looks as though it will be notably average. Hopefully, the fractal I find this evening will be notably above average. Until the next FOTD appears, take care and be forever fractalish. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Quadropod { ; time=0:10:57.62--SF5 on a p200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=-0.25242073906725380/-0.005654551455851\
47/2.66834e+010/1/145/-0.00262791307117529738
params=2.003/0/1040/0 float=y maxiter=2700
inside=0 logmap=309 periodicity=10
colors=000vwmuwmtwmswnrwnqwnpwnowonwomwolwpkwpjwpi\
wphwqgwqfwqewqdwrcwrbwr`ws_wrZwsYwsXwtWwtVwtUwtVws\
VwsWwrWwrXwqXwqYwqYwpZwpZwp_wp_wp`wp`wpbwpcwpdwpew\
pgwphwpiwpjwplwpmwonwnowmpwllhQiePfbPc_OaWOZTNWQNT\
NLSKLRGKQDKPAJO7IN4HM7IL9JKBKMELOGMQIMSLNUNOUPPUSQ\
UURWWRZXSaYTe_UhaVkcWmeWlgXlhYlgYlgZlgZlf_lf_le`le\
`lealdaldckcdkcfkcgkbikbjkalkamkaok`pk`rk_qk_qk_pj\
`mj`lj`kj`jjaijahjagjafjbejbdjbcjbbjcajc`jc_jcZjdY\
jdXjdWjdVjeUjeTjeSjeQjeOlcMmbKm`ImZGmYEmOKhPTcQVZR\
XUSVPTUKUUKUUPUTTVTXZTaaSeeSiiSnlRrpRvtRzwRxuQvtPt\
rOrqNpoNonMmmLkkKijKghJfgIdfHbdG`cGZaFX`EW_DUYDSXC\
QVBOUANTAPSCRSESSGUSIVSKXSLYRN_RP`RRbRTcRVeRWgQYhQ\
_jQakQcmQenQfpShqUjsWltYnv_pwaqrcomemigkdii`kgWmeS\
ocNqaJs_EuYAwW9xV9yV9zV9zU9zU9zU9zU8zT8zT8zT8zT8zS\
8zS8zS8zSAzRCzPEzNGzLIzNUzPezRdzTdzVdzXdzZdz`dzbcz\
dczfczhczjczlcznczpczpczp }
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END 20.0 PAR-FORMULA FILE==================================
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times.
