Traveling Salesman Art

In a picture, random points are selected proportionally to the gray levels of the picture. An algorithm for the "traveling salesman problem"—which asks for the shortest path through a set of cities without passing through any of them twice—is then used to draw a precomputed continuous line with no overlaps through the set of points. This Demonstration lets you see how the tour progresses.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


The built-in Mathematica command used to calculate the path is FindShortestTour, with the Method option set to "RemoveCrossings".
The man in the picture is Alan Turing, founder of computer science, born in 1912.
[1] C. S. Kaplan and R. Bosch. "TSP Art." (May 19, 2005) www.cgl.uwaterloo.ca/~csk/papers/kaplan_bridges2005b.pdf.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+