Thursday, February 3, 2011

Associahedra Again

The $9$ faces of the associahedron provide endless entertainment. We would like to glue three octagons together to form the polytope, but recall that two vertices of the associahedron are special: those at the centre of three pentagons. We can glue two octagons together, but then we find a polygon boundary with a different number of edges.

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