June 5, 1997: Splattered Amoeba | June 4 | June 6 | 1997 | FOTD Home |

Fractal
visionaries:

Today's fractal is one of my TowerExp series, based on the formula
Z^(-Z+n). Though the Z^Z formulas usually are filled with
discontinuities and disconnected fragments, this fractal has very
little chaos. It appears as round tubes dividing ever finer
as
they near the limit. Like so many of my pictures, it appears
to
be illuminated from within by a pale peach-colored light.
This
gives it somewhat of a three-dimensional effect.

Much is being said nowadays about three-dimensional fractals, with
high-tech methods such as ray tracing and PHC being discussed as though
everyone can actually understand the discussion. To me, these
methods are interesting, but I still prefer to achieve my
three-dimensional effects by carefully chosen coloring.

My method of coloring is quite simple. I try various
combinations
of colors, then set the fractal program to slowly flow the colors and
sit back to watch. Sometimes it takes longer to find the
proper
color palette than it did to draw the image; at other times I find the
right colors almost at once.

Today's picture is a good example. It took 50 seconds to draw
and
13 minutes for me to find the colors. Even now, I feel that
the
colors are not the best possible -- but then, colors never are.

For tomorrow's fractal I hope to have found something worthwhile with a
formula I just wrote, which uses the new if-else commands in Fractint
version 19.6. But that's not a promise, because I've found
nothing yet worth showing.

Jim Muth

jamth@mindspring.com

START PARAMETER-FORMULA FILE FOR 19.6======================

Splatted_Amoeba { ; time=0:00:08.40-SF5
on P4-2000

reset=1960 type=formula formulafile=basicer.frm

formulaname=TowerMinExp01 passes=1 symmetry=xaxis

center-mag=0.0110378/0/1.141865 params=7/0/0.25/0\

/0.02/0 float=y maxiter=512 inside=bof61 logmap=yes

colors=000000007KFJRJUYRVdUWzrzvjpsbjjWjeUpaEvcJqd\

OkfTfgZ`icWjhQlmLejRZgXTdbMahFZn8WtCYpF_mJbiMdeQfb\

ThZThZV_VUhZUhZUgZUgYUgYUgYUfYUfYVfXVeXVeXVeXVeXVd\

WVdWVdWVcWVcWVcWVbVVbVVbVVbVVaVWaUWaUW`UW`UW`UW`TW\

_TW_TFAdFBdGBcGCcHCcHDcHEbIEbIFbIFbJGaJHaKHaKI`KI`\

LJ`LJ`MK_ML_ML_NM_NMZONZOOZOOYPPYPPYPQYQRXQRXRSXRS\

XRTWSUWSUWTVVTVVTWVUWVUXUUYUVYUVZUWZTW_TPz2Pz3Pz3P\

z4Qz4Qz5Qz5Qz6Qz6Qz7Qz7Qz8Ry8Ry9Rx9RwARwARvBRuBSuC\

StCSsDSsDSrESqESqFTpGToGToHTnHTmITmITlJTkJUkKUjKUi\

LUiLUhMUhMUgNVfNVfOVeOVdPVdPVcQVbQVbRWaRW`SW`SW_T3\

Vz3Vz4Vy4Vy4Vy4Vx5Vx5Vx5Vw5Ww6Ww6Wv6Wv7Wv7Wu7Wu7Wu\

8Wu8Wt8Wt9Wt9Ws9Ws9WsAWrAWrAWrAXqBXqBXqBXpCXpCXpCX\

oCXoDXoDXnDXnDXnEXmEXmEXmFXlFXlFYlFYlGYkGYkGYkHYjH\

YjHYjHYiIYiIYiIYhIYhJYhJYgJYgKYgKZfKZfKZfLZeLZeLZe\

LZdMZdMZdMZcNZcNZcNZcNZbOZbOZbOZaPZaP_aP_`P_`Q_`Q_\

_Q__Q__R_ZR_ZFRbDP_AOW8MT }

frm:TowerMinExp01 {; Jim Muth

z=pixel, c=p2+(p3*pixel):

z=z^(-z+p1)+c,

|z| <= 100 }

END PARAMETER-FORMULA FILE FOR 19.6========================