Last night, Dr. J brought home a new picture and named it Bridge To... To what? To the future? No, the past, to Dr. J's origins and the original fractal. It has not helped much, hanging there on the wall just down the hall from his living room. But it was the loss of definition near the edges that gave him the idea for tonight's adventure. What he needed, he thought, was more bandwidth. After all, iterations, digits of precision, terms in the formula, members of a committee, (well not that) are all just bandwidth. Dr. J read a discussion about fractal antennas on sci.fractals. It seems one can achieve greater bandwidth among other wonders. So he has..., well, take a look for yourself.
Dr. J has put on or gotten into a huge antenna apparatus hoping to see the future and especially the distant past. All that I can see is that he has, like supposedly happened to Franklin, gotten a shocking experience. Oh well.
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Figure 1. The Antenna.
Tonight's picture uses the cubic formula by Lee Skinner (from the Fractint.frm file).
Stay grounded,
Jay
The parameter and formula files for Fractint are included below. Copy them
into a quickie.par file for quick loading into Fractint. For longer term
use, copy the frm: block into a FotN.frm file. But this time leave off the
'frm:' part. Then copy the rest (the par parts) into your FotN.par
file.
Antenna { ; (c) Jay Hill, 1998
; Dr. J puts on antenna apparatus hoping to see into
; the future and especially the distant past
reset=1960 type=formula formulafile=fractint.frm formulaname=cubic
center-mag=0.942548/0.756618/52.96388/1.0002/67.49/0.016 params=50/0
maxiter=255 inside=bof60
colors=00U011<2>000KwU22100023X<7>FU\
pRKRcA0mP5wcArhFmmK<9>KwA<17>cK0<12>\
0z0<15>0w0GXd<174>011
savename=antenna
}
Cubic (XYAXIS) {; Lee Skinner
p = pixel, test = p1 + 3
t3 = 3*p, t2 = p*p
a = (t2 + 1)/t3, b = 2*a*a*a + (t2 - 2)/t3
aa3 = a*a*3, z = 0 - a :
z = z*z*z - aa3*z + b
|z| < test
}