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Triominoes

Problem

A triomino is an L-shaped figure made up of three unit squares.

Show how it is possible to cover the 4times4 board with five triominoes.


Solution

The grid can be filled in the following way:

Prove that is it always possible to cover a grid measuring 8 times 8, 16 times 16, 32 times 32, ... , 2n times 2n, with triominoes always leaving one square.

Problem ID: 21 (Nov 2000)     Difficulty: 1 Star

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