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Norman McLaren

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Drawing by Norman McLaren representing a game of tic-tac-toe or
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© NFB
 

Structure for playing 4 dimensional tic-tac-toe [knots & crosses]. - ca1953. - Drawing : lead pencil, coloured pencil : 26 x 20 cm

Drawing by Norman McLaren representing a game of tic-tac-toe or noughts and crosses in four dimensions. He was inspired by the tesseract (a four-dimensional cube) to imagine a wealth of objects both large and small.

The following comments are written in the margins:
Center squares not used as they are common to too many diagonals - the person who places a mark in the very center one is sure to win.
4 rectangular directions [verticle, horizontal, receding verticle, receding horizontal]
Simple diagonal directions
Double diagonal directions
Triple diagonal directions