Torus chessboard

CAMS - The Mathematics Gallery

In mathematics a torus is a doughnut-shaped circle in three-dimensional space about an axis that is coplanar with the circle; bringing to mind a topological quotient of a form that has been made by “ironing” an elastic square and conveniently “sticking” the opposite sides together. This concept was used to design an unusual chessboard; reminding us of Leonardo da Vinci’s Mazzocchio design from his Codex Atlanticus.

The exhibit on display is made of iron meaning that a game of chess or draughts can be played with lightweight magnetic pieces; however, getting them to stay in place on the positively, negatively or neutrally curved surfaces can be tricky. The final challenge is to set up the board for a game given the layout will unavoidably be somewhat different to what might normally be expected.
 

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