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## 'Tetrafit' printed from http://nrich.maths.org/

A tetromino is made up of four squares joined edge to edge. Can
this tetromino, together with $15$ copies of itself, be used to
cover an eight by eight chessboard?

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What about the other four tetrominoes?

If the set of tetrominoes can fill the board sketch a solution
showing how this can be done and if it is impossible to cover the
board then explain why.