Beautiful Designs Made from the Knight's Tour

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

A knight is placed on the empty chessboard and moves according to the rules of chess. For a knight's tour, the knight must visit each square exactly once. In these variants, boards with a wide variety of shapes are used instead of a standard chessboard. Some solutions present very beautiful designs.


Snapshot 1: a board for a variant of the knight's tour

Snapshot 2: a solution

Snapshot 3: a graph made from the problem

For the details of this article please see the following reference:

R. Miyadera et al, "Beautiful Designs Made from the Knight's Tour," Visual Mathematics: Art and Science Electronic Journal of ISIS-Symmetry (Sept 13, 2007).


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.