The Puzzling World of Polyhedral Dissections
By Stewart T. Coffin

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Chapter 2 - Two-Dimensional Combinatorial Puzzles
Regular Polygons as Building Blocks

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The basic building block of a geometrical combinatorial puzzle is typically a regular polygon, although other shapes or combinations of shapes are certainly possible. Whatever shape or shapes are used, the idea is to create a set of dissimilar puzzle pieces that fit together a great many different ways. Among regular polygons, the only ones that tile the plane are the triangle, square, and hexagon (Fig. 23).

Fig. 23

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