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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: My only spam message this morning arrived with the subject "You've won!" The message informed me that I had won the first round of a contest and was now eligible to claim my entry. Nuts! What a let-down! I thought I would be eligible to claim my prize, but discovered that I am eligible only to enter some stupid contest, and that I must actually pay for the privilege of entering. I wonder how many 'contestants' fail to win the first round of this 'contest'. I eased my disappointment by turning to the world of fractals. Today's image features the work of another long-forgotten formula, Mystic2, a formula that I wrote a number of years ago. Because I rarely add comments to my formulae, the original purpose of the formula is now a mystery. Perhaps I wrote it totally at random, just to see what it would do, and then discarded it because with the inside set to the usual 0, it draws nothing but circles. If so, I acted in haste, for when a dynamic fill such as bof60 is applied, the formula comes to life. When the Mystic2 formula is used, all the action is on the inside. Today's image is a good example. Using the bubble-producing bof60 inside fill, the formula has produced what looks like a grand double-arch. The curved boundary at the bottom is part of the ever-present circle that always appears when this formula is used. Since the image resembles an elaborate double-arch, I named it "The Grand Arch". I rated the image at a 6. This is the third consecutive FOTD with a rating of 6. The attached parameter file runs in 4-1/2 minutes, leaving it to the viewer to decide whether to download the GIF file of the image from: The fractal weather today began with a mild thunder-shower and ended with another mild thunder-shower. In between it was sultry, with lots of clouds and a temperature of 82F (28C). The fractal cats were too busy sleeping to give much notice to the weather. It's now time to attend to other things, but the next fractal is already cooking. Until the next one is finished, take care, and have a moderately good day. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
The_Grand_Arch { ; time=0:04:39.30--SF5 on a P200
reset=2001 type=formula formulafile=jim.frm
formulaname=Mystic2 function=sin passes=1
center-mag=0.698216/6.66134e-016/2.801685/1/-90
params=-5.499/1.957/7.803/1.028/0.359/-1.367
float=y maxiter=120 inside=bof60
logmap=yes periodicity=0
colors=000Z`OWXLSTJPQHFFFFFFGGGHHHIIIJJJKKKe2Nc2Ma\
2LV2WS3TQ3RO3PM4MJ4KH4IF5FD5DA5B868666464262276279\
27D28G28K28N29R29U29X5ET7JP9OLCTHEYDGb9If6Kd7Mb7N`\
8PZ8QX9SV9TTAVRAXPBYNB_LC`JCbHDcFDeDEfBE_GGTLIMQKF\
VMD_GCdBBi5An0Bm6CmBDmGEmMFmRFlWGl`HlfIkkJjpKisKis\
KgrKepKcoKamKZlKXjKViKTgKRf`Edp2bi7`cB_YFZSJYLOWFS\
V9WU3_T2YS2WS2VS2TR2RR2QR2OR2MQ2LQ2JQ2IQ4LO5OM6RK7\
UI8WGAZEBaCCdADg8Ei7Dj8Cj8Cj9Bj9BkAAkAAkA9kB8kB8lC\
7lC7lD6lD6lDBhCFdBK`BOXATTAXQ9aM8eI8jE7nA7s66w36p7\
AjBEdEIZIMTMQNPUQRRSTOVVLXWJZYGa_DcaAeb8eb8ec9ecAe\
dBedBdeCdfDdfEdgFdgFdhGdhHdiIdiIdjJdjKdkLdkLcjKbiK\
ahJ`gJ_fIZeIZdIYcH000XbHWaGV`GU_FUZFTYFSXERWEQVDPU\
DPTCOSCNRCMQBLPBKOAKNAJM9IL9HK9GJ8FI8FH7EG7DF6CE6B\
D6AC5AB59A4894783673563552442331221110000jq3gn2ek2\
bh2`e2Yb2W_2TY1RV1OS1MP1JM1HJ1EH0CE09B0780450220en\
UXcOPUIGKC8A6moYikVegTbcQ
}
frm:Mystic2 {; Jim Muth
a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), k=real(p3), f=imag(p3),
g=pixel, z=(pixel)^a+(b*(pixel))^c:
z=(fn1(z)+(d*(g)))^k+(f*(cos(g)))
g=sqr(g),
LastSqr <= 100
}
END 20.0 PAR-FORMULA FILE==================================
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