8 x 8 x 8 Knight Tour

8 x 8 x 8 Knight Tour

Soft white pine (lightweight, and it soaks up dye)

Each move occurs in one of 24 planes.

The angles between each move.

Fitting the moves within a single plane.

Fitting the moves in two perpendicular planes.

Making smooth-fitting connections.

Final sanding.

The 24 planes.

Drying Rack

Dyed by grandson Jakob

Beginning steps of construction; hanging from a top screen.

Starting to take shape.

Framed and ready to hang.

Check on availability in the description section.

Contact me to order

Description:

The walnut frame encloses an 8 x 8 x 8 chessboard (with 512 "squares"). A knight's move on this 3-dimensional board is a move that takes the knight two squares in one direction and one square in a perpendicular direction, and the move is represented by a straight line between the starting and ending position. A knight's tour is a path of 512 successive knight moves that visits each of these 512 squares exactly once and returns to its starting position. This sculpture shows such a knight's tour on this 8 x 8 x 8 chessboard. The first move is colored yellow and each successive move is tinted with a bit more red, so that the 512th move is a dark maroon red. The figure shows that the first few moves are toward the edges and sides of the cube, the final moves are in the interior -- so the red moves form a kind of spherical mass inside the cube. This sculpture hangs in the Mathematic's Common's Room at St. Olaf. Click here to read a more detailed description of this construction.

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