While your friends play checkers, these earrings allow you to play three-dimensional chess! Featured on the runway at the 2025 Bridges Conference Math + Fashion Show, the Knight's Tour Cube Earrings are created in White- and Black-Rhodium Plated Brass. It pairs with the Chessboard Necklace.
This pair of earrings gives two different examples of a three-dimensional knight's tour - on a 3x3x3 chessboard.
On a chessboard, a knight moves diagonally along a path shaped like an L. These earrings take knight moves into the third dimension where pieces move two units in one direction and one unit in an orthogonal direction. A knight's tour is a walk visiting every step of a chessboard using knight's moves. This is possible on an 8x8 chessboard.
On a 3x3x3 cubic chessboard, no knight's move from an external space can arrive at the central space. Furthermore, a parity argument shows that no knight's tour exists on the remaining 26 spaces. However a knight's tour is possible when the domain is restricted to 24 spaces. These earrings show two of those possibilities.
Dimensions: Each earring is a cube and measures 1.1 in (28mm) diagonally.
The white and black rhodium plated brass on this mismatched pair evokes the coloring of a classic chessboard.