Jan. 20, 2013: Fire Tree | Jan. 18 | Jan. 21 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
Fractal
trees are
nothing new in the FOTD series, but I have never posted a tree with
such simplicity as is seen in today's image. The scene is a
Julia
set of the (-Z)^(1.618034)+C Julibrot. The corresponding
Mandelbrot point lies where the X-axis meets the western edge of the
main bud of the Mandeloid.
The full Julia set resembles an 'infinity' symbol, a figure eight lying
on its side, with an infinity of fractal trees along its
edge.
The tree in today's image is the largest one, which lies on the X-axis
on the east edge of the figure eight. The simplicity was
created
by lowering the maxiter to 112. This cuts off the finer tree
branches, leaving only the most basic tree shape.
The name "Fire Tree" refers to the color of the tree. The
calculation time of 15 seconds is due to the unusually small maxiter.
A sunny day with a temperature of 46F +8C was spoiled by a blustery
wind here at Fractal Central today. The fractal cat spent
most of
the time basking in the sun on his shelf, watching things blowing by in
the wind. The humans took it easy most of the day.
The next FOTD will be posted in a reasonable time. Until
then,
take care, and don't wait for a second coming. It isn't
coming.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Fire_Tree
{ ;
time=0:00:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot5 center-mag=0.2398/0/15/\
0.922/90/0 params=90/0/90/0/-1.15/0/0/0/1.618034/0
float=y maxiter=112 inside=255
logmap=69 periodicity=6
colors=0000mzqNIqMFpMDpLAkK7lK5mzwnyvoxupwtqvsrurs\
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3aB3`D3_E3YG2XI2WK2VM20mz }
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=========================================