To learn more about TSP Art (art constructed by
solving instances of the Traveling Salesman Problem),
Making TSP Art page
Craig S. Kaplan's
TSP Art page.
To see the "labyrinthine projections" of the artist
J. Eric Morales (Mo), visit his
Virtual Mo - Online Art Gallery page.
To see some of my favorite pieces of my own TSP Art, stay here
and scroll down.
I made this piece for the
conference in Cork, Ireland. If you view it from a distance, you
see a knotted black cord on a light gray background. If you view
it from up close, you see a single white loop on a black background.
2. Two hands, one loop
From a distance, it appears that Adam's finger and
God's finger have just broken contact. Yet from up close,
it becomes apparent that they are connected. The entire
picture is comprised of a single black loop.
3. One loop, three configurations
This is a series of three pieces based on the
work of Andy Warhol. Each loop is exactly the
same length (45.5 feet when printed on 8.5" by 11"
4. Question and answer
These two pieces are based on Andy Warhol's Soup Cans.
The first is "Question: What's Inside?", and
the second is "Answer: This is!".
5. The Da Vinci Curve
6. George Dantzig
George Dantzig (1914-2005) was the father of
linear programming and the inventor of the
Simplex Method, the most widely used algorithm
for solving linear programs. In 1954, with
Ray Fulkerson and Selmer Johnson, Dantzig
published a description of a method for
solving large-scale instances of the
TSP to optimality. For the 2006 INFORMS
conference held in Pittsburgh, I created
a 25,000-city TSPortrait of Dantzig.
7. Linking the In and Out
I constructed this continuous line drawing by
solving a 1500-city instance of the TSP. I
drew the line (the tour) with white ink. It
divides the plane into two regions: In (red)
and Out (black). From a distance, the piece
resembles an alternating link, a knot made
of two interlaced strands---one red, and one
8. One Fish, Two Fish, Red Fish, Black Fish
This is another piece of TSP Art in which the interior
of the curve is colored red and the exterior is colored
black. I based this one on a pattern designed by
and I purchased the pattern from
9. Outside Ring
A third piece in the series. Note that the "inner" ring
is actually on the outside.
10. Recent, symmetric, untitled pieces
Here are three pieces from a recent show.
All images are copyright 2006-2009 by Robert Bosch. You are
free to use them for personal and non-commercial purposes.
Please check with me about any other uses.