A regular hexagon is divided into 2n equilateral triangles.
Pairing triangles that share an edge produces diamond shapes with three distinct orientations, as shown.

Prove that any n-diamond tiling of the hexagon will use the three types in equal numbers.

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## bonanova

A regular hexagon is divided into 2

equilateral triangles.nPairing triangles that share an edge produces diamond shapes with three distinct orientations, as shown.

Prove that any

-diamond tiling of the hexagon will use the three types in equal numbers.n## Link to comment

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