Primes of the T tetromino

[T tetromino]

4 × 4
complete

smallest rectangle: 4 × 4

[4 x 4 square]

Walkup [1] proves that this is the only prime rectangle.

Reference

[1] D.W. Walkup, Covering a Rectangle with T-tetrominoes, American Mathematical Monthly 72 (1965) pp. 986-988.

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Updated August 23, 2011.