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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

##### MSC:
 52Bxx Polytopes and polyhedra
convex polytopes
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##### References:
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