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IMSO 2015 — Math Division — Exploration Question 6

IMSO Maths · IMSO 2015 — Math Division — Exploration

Question 6

The diagram shows a bird-shaped piece consisting of two unit squares and three half-squares joined edge to edge. It may be rotated or reflected.

Question illustration

The next diagram shows a Greek cross enclosed by four identical bird-shaped pieces. When two pieces come into contact, they must do so along an entire edge or an entire diagonal. Find as many diagrams as you can that can be enclosed by the four bird-shaped pieces.

Question illustration