February 8, 2012: Spring Garden | Feb. 7 | Feb. 9 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
I
am currently
involved with some nonsensical things I have discovered in the fractals
created by the new JulibrotMulti2 formula. Until I can make
more
sense of the nonsense, I will work with the workhorse MandAutoCritInZ
formula, which, if nothing else, does make at least a little sense.
The generating expression of today's image combines 3 negative parts of
Z^(-5.6) with 6 negative parts of Z^(-2.5) before adding (1/C) on each
iteration, which produces a parent fractal beyond
description.
Today's image is located in a ring near the terminal of a filament on
the northeast edge of the parent.
The image makes use of several 'tricks'. To begin, it is
partially 'evaporated'. And it has been rendered with the
outside
parts set to 'tdis' and the inside parts set to 'bof61'. The
result is a scene that for some reason reminds me of a garden in the
springtime, and earns the name "Spring Garden".
The rating of a 7-1/2 includes a half=point bonus for the coloring,
which required some extra effort.
The calculation time of 35 seconds will pass in a flash, leaving no
time for impatience to raise its head.
A temperature of 32F 0C, thick clouds and light snow marred today's
weather here at Fractal Central. The fractal cats took one
look
at the outside conditions and decided to spend the day by the
heat. The humans had too much other stuff to do to let a
measly 1
inch (2cm) of snow disturb them.
The next FOTD will be posted in 24 hours. Until then, take
care,
and before we wonder when the forces of good will defeat the forces of
evil, we should decide exactly what is good and what is evil.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Spring_Garden { ;
time=0:00:35.00 SF5 at
2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=+1.364171267662479/+1.203607197877085/\
1.314689e+009 params=-3/-5.6/-6/-2.5/0/6250/0/0
float=y maxiter=1500 inside=bof61
outside=tdis periodicity=6
colors=000`LSdIS000X5rU8lSAeQD`NGWLKQKLLIPGFSCDW80\
00Dv4Gz6Lj2QN0W40`00S00L90DL08Z000000zP0d002004005\
00600801905A09C0DD0IF0LG0PI0SS0bb0ll1xx4zz0pp0`Z0c\
K0A60K80U80d90p90L0000000900K00W00g00v00l00b01U04L\
06D0961C02F02G0D24P08`02d00e00g00j006G00z60dFQFNx0\
Lz4LzDKzNKzZIzlIzxAAAAAAeU8pI0W90SA0ND0KF0GI0KK0GN\
0KP0GS2LU5GX8DZA9bD9dG4gK0kL0nP0qS0sW0uZ0yb0ze0zg0\
xe0rd0nd0gb0db0Z`0W`0QZ2NZ5IX4I`GKvCIx9Gz5Fz4Dz2Fz\
2Fz1Fz1Gz1Gz0Gz0Gz0Iz0Iz0Iz0Kx0Kx0Kx0Kx0Lx0Lv0Lv0N\
v0Nv0Nv0It0Lv0Nv0Pv0Sv0Uv0Wv0Zx0`x0bx0ex0gx0jx0nz0\
pz0rz0vz1xz1zz0zz1zz6vnCnbIgSQ`IXW9dP1lK0zD0tF0dF0\
QF0FF14F50FA0FF0LA4S6FZ2Qe0dn0rv0zz0zz0zz0zz0zv0vr\
0rn0nj0le0gb1dX2`U5ZQ6WN8SKAPGCNDDKAGG8I9A4F5KK0bP\
0zP0vP5rPDnPPlP`gPldPz`80ZGSZPzZKz`GtbDjdAbe8Wg4Nj\
1Gl09n04p00x00t00p04n0Aj0Ge0Nd0U`0bX0jW0rS0zQ0vS1r\
S4nS8jSAeSFbSKZSNWSSSSWPS }
frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================