May 15, 2011: Many Happy Returns | May 14 | May 16 | 2011 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's
discussion
is brief because an antiquing trip did happen on Saturday.
The image turned up when I decided to see if any rectangles exist in
the (-Z)^(2.003)+C Mandeloid. I found no rectangles but I did
find some interesting other stuff. Today's image is a sample
of
that 'stuff'.
Most of the effect is due to the high-contrast color palette.
It
takes more than sharp colors to create a great fractal however, so I
could rate the image no higher than a 6.
The name "Many Happy Returns" has nothing to do with the
image.
In fact, I have no idea why I chose it. The words just kind
of
popped into my head when I shut off everything else.
My plans are to eventually post all the past images on my own web site,
but judging from the way things are presently going, I may never finish
the job.
Heavy clouds and a temperature of 63F 17C cast a pall over Fractal
Central on Saturday. The rain was barely enough to dampen the
sidewalk, but it did dampen the spirits at the fair for the benefit of
the local volunteer fire company.
The fractal cats, who were left alone all afternoon, had their spirits
dampened also, and gave the humans a sound scolding when they
returned. The next FOTD will be posted in 24 hours.
Until
then, take care, and some claim that everything is a dream.
If
this is so, then who or what is the dreamer?
Jim Muth
jamth@mindspring.com
START PARAMETER FILE=======================================
Many_Happy_Returns { ; time=0:01:06.24-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot5 center-mag=-1.746803722\
297722/+0.00001106402990913/2.52e+007/1/-57.5/0
params=0/0/0/0/0/0/0/0/2.003/0 float=y maxiter=1500
inside=0 logmap=198 periodicity=6
colors=000HEWCAO87G438fGaWCSL8JA49ipk8rs1I60D40930\
411ch0Zb0UX0PS0KM0FG0AB055IcM9KBixhGXLAME5B7gSg_N_\
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5zAtzRlzNezKZzGSzDLzAEz67z3zzwzzUzzszzkzzczzWzzOzz\
Gzz8zzhzzXzzMzzBzzszzkzzc }
frm:SliceJulibrot5 {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=(-z)^(real(p5))+c
|z|< esc }
END PARAMETER FILE=========================================