If replacing each number by its square or cube in a magic square produces another magic square, the square is said to be a trimagic square. Trimagic squares are also called trebly magic squares, and are 3-multimagic squares. Trimagic squares of order 12, 32, and larger are known. Tarry gave a method for constructing a trimagic square of order 128, Cazalas a method for trimagic squares of orders 64 and 81, R. V. Heath a method for constructing an order 64 trimagic square which is different from Cazalas's, and Benson a method for constructing an order 32 trimagic square.
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