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MathNet 2026 — Part 06 Question 124

Math Olympiad Vault · MathNet 2026 — Part 06

Question 124

A triomino is formed by joining three equal squares edge to edge. Up to rotation there are only two types, namely straight and corner triominoes:
Question illustration
Question illustration
The diagram shown below is known as the *Aztec Diamond* of order $7/2$.
Question illustration
Which number is larger, the maximum number of straight triominoes or the maximum number of corner triominoes that fit simultaneously into the Aztec Diamond?