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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is a mathematical mystery, even if not an artistic wonder. The first parameter of the formula is 19, which should result in midgets of order 19. Such midgets have 18 lobes, but in today's huge central midget I count 37 lobes, and the lobes on the upper right shore line of the midget are strangely doubled, so that it is impossible to say exactly how many lobes are in this supposed minibrot. There is no problem in the surrounding circular midgets. They all have 18 lobes like a well-behaved minibrot of order 19 should. Most likely, today's central midget is actually a merging of 2 or more proper order-19 midgets, but if it is, I have not found the place where they merge. At any rate, the image has a certain abstract symmetrical simplicity about it, which earns the rating of 6. The parent fractal resembles a Mandelbrot set with rounded features. Today's scene is located in the suburbs of a smaller midget just east of the largest midget on the rudimentary main stem of the parent. The name "Out of Order" refers to the wrong number of lobes in the minibrot. The calculation time of 1-1/2 minutes will cause no one any heartache. And as always, the already calculated image is posted on the FOTD web site for instant viewing at: Dark lumpy clouds, (strato-cumulus), blustery winds and chilly temperatures made Monday of questionable worth here at Fractal Central. Not only did the temperature of 43F 6C make the fractal cats unhappy, the lack of afternoon sun shining through the southwest window kept them unhappy. With more than enough work to get out of the way, I had no time to be unhappy about the outside conditions. Unless something unexpected arises, as it sometimes does, the next FOTD will be posted in 24 hours. Until then, take care, and forget the boring 'real' world of reason. Live in the imaginary world of fantasy instead. Skeptics don't approve of this but it's a lot more fun. And if you believe in fantasy hard enough, it can become as real as the chair you are sitting in. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Out_of_Order { ; time=0:01:29.69-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot5 float=y inside=0 logmap=159
center-mag=-5.077610928161702/+0.001263530929175/1\
.070948e+008/1/-167.5/0 maxiter=2400 periodicity=10
params=19/3
colors=000KDEJEFIEGHEHGEIFDJECKDAKC9KB7KA7Ka2dz6Yz\
cSzcMzIFzM9w3lmP0eQ1aQ1bQ1bQ1cQ1cQ2dQ2dQ2eQ2eQ2fQ3\
fQ3gQ3gQ3hQ3kv0js1jp1jm1jk1ih2ie2ib2i`2hY3hV3hS37E\
p9FmBGkDGhFHfHHdIIaKI_MJXOKVQKTRLQTLOVMMXMJZNH_OEa\
OCcPAeP7gQ5tUhsTfrTdrTbqT`qTZpSYpSWoSUoSSnSQnSOmRN\
mRLlRJlRHkRFkRDjQCjQAiQ8iQ6hQ4r_qqZmpYioXfoXbnWZmV\
WmVSlUOkTLjSHjSDiRAhQ6LV3OU3RT3TT3WS3ZS3`R3cR3fQ3c\
D1dE2dF2dF2dG2eG2eH2eI2eI2fJ2fJ2fK2fL3fL3gM3gM3gN3\
gO3hO3hP3hP3hQ31M85N79N7DO6HO6LO5PP5TP4XP4`Q3dQ3Kj\
gOgaRdXUbSX_N_XIbVDeS82FK5GU7Hc9HmBIzDIzFJzIJzKKzM\
KAOL9QM8SM8UN7XN6ZO6`O5bP4dP4fQ3Vx3Wv3Xt3Yr3Yp3Zn3\
_l3`k3`i3ag3be3cc3ca3z`3zZ3zX3zV3zS3zV3zZLzcJzhIzm\
HzrGzvFzzDzzCzzBzzAzz9zz7zz6zz5zz4zzRzzPzzOzzNzzMz\
zLzzKzzJzzIzzHnzGmzFmzElzDlzCkzBkzAjz9jz8iz7iz6hz5\
hz4FzOHzMJzLLzJNzIPzHRzFTzEVzCXzBczedzcdzadz`dzZez\
XezWezUezTezRfzPfzOfzMfzK }
frm:DivideBrot5 { ; Jim Muth
z=0, c=pixel, a=real(p1)-2,
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
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times.
