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The associahedron and triangulations of the n-gon. (English) Zbl 0682.52004
For a convex n-gon \(P_ n\), \(n\geq 3\), in the plane let \(\Sigma_ n\) denote the collection of all sets of mutually noncrossing diagonals of \(P_ n\). The author proves that \(\Sigma_ n\) is isomorphic to the boundary complex of some (n-3)-dimensional simplicial convex polytope, and that this polytope can be geometrically realized with the dihedral group \(D_ n\) as its symmetry group.
Reviewer: J.M.Wills

52Bxx Polytopes and polyhedra
Full Text: DOI
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