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Dissections

Coxeter states that every zonogon (a 2 m -gon whose opposite sides are parallel and of equal length) can be dissected into (m 2) {\displaystyle {\tbinom {m}{2}}} or 1 / 2 m (m − 1) parallelograms.These tilings are contained as subsets of vertices, edges and faces in orthogonal projections m -cubes. In particular, this is true for any regular polygon with an even number of sides, in which case the parallelograms are all rhombi.The list OEIS: A006245 gives the number of solutions for smaller polygons.