February 27, 2012: Rough Diamonds | Feb. 26 | Feb. 28 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
image, which
resembles a minibrot with a necklace of jewels, came about when I
combined Z^1.5 with half as much Z^3 and added straight C on each
iteration. This parent fractal consists of two well-separated
Mandelbrot sets connected by a broad strait, with the northeast area of
the main bay of one connected to the southeast area of the main bay of
the other. The math energies in the connected parts of the
minibrots are mirror images, so they blend harmoniously.
The inner details of the two Mandelbrot sets are what would be expected
in the same areas of the classic Mandelbrot set. But the
strait
connecting them, where today's image lies, holds totally new stuff.
I named the image "Rough Diamonds". The name was inspired by
the
sparkling jewel-like areas surrounding the central minibrot, which
remind me of diamonds.
The rating of a 7-1/2 includes a half point for the coloring.
Without the effort I put into the coloring, the image would be nothing.
The calculation time of 50 seconds is unusually fast, leaving no time
for impatience to raise its fidgety head. Of course, it is
always
a minor task to set up and run the included parameter
file.
Clouds and sun mixed together here at Fractal Central today, while the
temperature reached a pleasant high of 55F 13C. The fractal
cats
nodded their approval of the conditions, but it seemed apparent to me
that they would have preferred more sun.
We humans had a relatively normal day of doing the routine things adult
humans do to avoid pondering the mysteries of reality. The
next
FOTD will be posted in 24 hours. Until then, take care, and
the
days of one's life might be very similar, but no two days are exact
duplicates.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Rough_Diamonds { ;
time=0:00:50.00 SF5 at
2000MHZ
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident float=y
center-mag=-0.2648584710739/-0.0373166628626/4.064\
188e+009/1/155/0 params=1/1.5/0.5/3/0/0/0/0
maxiter=750 inside=0 logmap=82 periodicity=6
colors=00000900C00F00H00K00N00S00V00Z00c00g00k00o0\
0r05A05A05A05A05A05A05A05A05A05A05A05A05A05A05A05A\
05A050050666999DDDGHGJLJNQNQUQ`j`Yd`_kkhpnjvluzrzz\
z0uz3lwBelGZlJblNglQllUrlOpXOlIOiGOjGOlENlEUj9Zi5e\
g2j`0pQ0j90b00m89nTSp_VrdVtlhuruzzzzzzNG6B86006006\
808S08N08E08809O0BeBJwNUzZbzjlzwuzz0zz0zzzzz0zz0zr\
SzUOz6LzcU0z`0zX0zW0zU0zQ0zO0zN0zJ0zG5zD9z9Gz6Lz3Q\
z2Sz0Uz0Wz0Xz0Xz0Zz0`z2`zDbzQbzbcznczzXyjSyXNwJGw5\
Bu06u0WzwZyu`rtbircbrgWpiNnjGll9lbQuSezIwz8zzIzzSz\
z`ztjzjtzcuziuzlwznwppycryUtzItz8uz0wz0yz0yu0zp0zj\
0zc0zZ3zU9zNEzIJzDOz6Uz2`z0ez0jz0pz0uzNG0OL0QQ0QU0\
SZ0Ub0Ug0Wj0Xp0Xt0Zy0Zz0Sz0Lz0Ez08z02z00z20z50z65n\
0OS0i60z00z00z00z03z0Bz0Lz0Uz3bz5jz6tz3jz0cz0Xz0Qz\
0Jz0Dz06z00z00z60zD0zJ0zQ0zX0zc0zj0zr0zy0zz0zz0zz2\
zz3zz3zzDzzLzzUzzbzzlzzuzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
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=========================================