# associahedron

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## English[edit]

### Etymology[edit]

*(associativity rule),* *associate* + *-hedron*

### Noun[edit]

**associahedron** (*plural* **associahedra**)

- (mathematics) A convex polytope in which each vertex corresponds to a way of correctly inserting opening and closing parentheses in a word of
*n*letters and the edges correspond to a single application of the associativity rule.