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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal image has texture, and lots of it. In fact, it might set a new record for texture. The scene of the action lies in the Z^(1.44225)+C Mandeloid as it appears a single turn up the logarithmic hyperspiral when the function is eliminated by setting it to 'ident'. The value of the exponent--1.44225--happens to be the cube root of 3. I chose it because I dislike absolutely random exponents. The parent fractal consists of a single large bay with an almost equally large triangular bud on its north side. Today's scene with its jagged and poorly defined minibrot at the center is located near a larger minibrot that lies on a filament extending east from this triangular bud. The near-ridiculous amount of texture was achieved by rendering the scene with the outside set to 'imag'. A high-contrast color palette increased the effect. I have no idea how to rate an image that I went out of my way to sabotage, so I let it go with a question mark for a rating. The name "Take it or Leave it" implies that I do not expect everyone to approve of such a harsh image. But the image is not a total loss. A careful examination reveals a subtle pattern amid the chaos, which just might make a worthy, more conventional image if I were to emphasize it by more appropriate coloring. The included parameter file takes 3-1/2 minutes to run on the fast machine and 12 minutes on the slow one, a reasonable time by any standards. But if reason fails, do not panic. Simply rush to the FOTD web site at: If the image is not already posted there for instant viewing, it soon will be. With 100-percent sunshine and light winds, the high temperature of 46F 8C here at Fractal Central on Sunday felt quite pleasant. The fractal cats agreed as they stretched on their shelf in the sunniest window. Except for a customer who for some reason called about his job at 11am, my day was totally without incident, the weird fractal notwithstanding that is. And speaking of fractals, the next one will appear in 24 hours. Until then, take care, and the philosophy of materialism is quite rational, and it makes good common sense, but what if the world does not obey the rules of reason and common sense? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Take_it_or_LeaveIt { ; time=0:03:36.83-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=ident logmap=202
center-mag=+0.46417761748/+1.46578697867/211500.7/\
1/65/0 passes=1 params=1.44225/0/1/0 periodicity=10
float=y inside=0 outside=imag maxiter=2500
colors=000GS3DQ59N8BKBCIDEFGFDNAKLKQTGXUB_U5_U7ZU9\
ZUAZUCZUDZUFYUGYUIYUKYULYUNYUOYTQYQRYOTZLV_KUZJTYJ\
SYJRXIQXIPWIOWINVHMUHLTHKRGJQGIOGFOHINGLMFOMFRLEUK\
DXKD_JCbIBeIBhHAkG9nG9qF8tE7vE7uF8uF8tG8tG9tG9sH9s\
HAsHArIArIBqJBqJBqJCXKCQKCWKCoNDfPDmSDfUD`QEeOEdUE\
eZEgfFfhFekFdmFcoF`pKZpPWpUUpYZlXbhXfdXj`XnYXkWViV\
UgTTeSRcRQaPP_ONYNMWLLUKJSJIQHHOGFMEE852KDDICBGAAE\
99C87A66855043422211IhBGdAFa9DY8CV7BR69O58K56H45D3\
4A2261130cDD5CC5CC5BB5BB4AA4AA499499c8838c3c737736\
63662662K5255244144133133122122011011000000zvBzsA0\
zA0z90z90z8zh82e72a70Y62W62T51Q51O4FL4JI3MG3PD2PA2\
U8UZ51t0zzzzzuntpiojdie_c`V`XSb_VVSOTQMQOKNLILJGUG\
EFECcCAA98c76544c22ZjHcVBBF5cKIGGFcDCAA9c66333wdCU\
`AwX9UT8wQ7UM6cI5UE4cB3U72U31muUmvUmwUmxUmmUmmUmmU\
mmUzzUzzzzzzzzzzzzzzzzzzzzzzzUzzUzzUzzUzzUzzUzzUzz\
UzzUzzUzzUzzUzzUzzUzzUzzU }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-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 PARAMETER FILE=========================================
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times.
