## Robert Bosch

Professor of Mathematics
Robert and Eleanor Biggs Professor of Natural Science, Department of Mathematics, Oberlin College

Founder of
http://www.dominoartwork.com
"I specialize in "Opt Art", the use of mathematical optimization techniques
to create pictures, portraits, and sculpture. I have used integer programming
to create portraits out of complete sets of dominoes, linear programming to
create pointillistic pieces, and instances of the Traveling Salesman Problem
to create continuous line drawings. What all my pieces have in common---aside
from how they were constructed---is that they look very different up close than
they do from afar. I create my artwork out of a love of optimization---the theory,
the algorithms, its numerous applications. I believe that optimization can be
applied to virtually every imaginable field, and I believe that my artwork does
a good job of helping me make that point."

* “ Inner Pieace ”*

2008, Digital print on canvas, 17" x 17"

"Inner Pieace" is a continuous line drawing constructed from
the solution to a 1000-city instance of the Traveling Salesman
Problem. The line is a simple closed curve drawn with white ink.
It divides the plane into two regions: In (drawn with red ink) and
Out (drawn with black). From a distance, the piece looks like a
Buddhist knot.

*“ One Fish, Two Fish, Red Fish, Black Fish ”*

2007, Digital print on canvas, 11" by 22.25"

"One Fish Two Fish Red Fish Black Fish" is a continuous line
drawing constructed from the solution to a 1500-city instance
of the Traveling Salesman Problem. The line is a simple closed
curve drawn with white ink. It divides the plane into two
regions: In (drawn with red ink) and Out (drawn with black).
From afar, the piece looks like an alternating link, a knot
formed from two interlaced loops, one red and one black.

* “ Outside Ring ”*

2007, Digital print on canvas, 17" by 17"

"Outside Ring" is a continuous line drawing constructed from
a 3000-city instance of the Traveling Salesman Problem. The
line is a simple closed curve drawn with white ink. It divides
the plane into two regions: In (drawn with red ink) and Out
(drawn with black). From afar, the piece looks like an
alternating link, a knot formed from two interlaced loops,
one red and one black.