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Polyhexes are the hexagon version of polyominoes. Polyominoes are the shapes you can make by joining squares by their sides - for instance a domino is a polyomino made from just 2 squares. With polyhexes you join regular hexagons by their sides. (the following catalogue omits mirror images) With a single hexagon there is of course just one variant, which tessellates: With two hexagons there is again just one variant, which tessellates (in many ways, of which one is shown): There are 3 ways to arrange 3 hexagons; all tessellate, as shown in the (non-unique) examples here: There are 7 ways to arrange 4 hexagons, which again all tessellate: There are 22 ways to arrange 5 hexagons, which also tessellate: There are 82 ways to arrange 6 hexagons, 333 ways to arrange 7... The sequence is in Sloane's catalogue of integer sequences.. | ||||

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