Associahedron

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What Wikipedia says

In mathematics, an associahedron Kn is an (n − 2)-dimensional convex polytope in which each vertex corresponds to a way of correctly inserting opening and closing parentheses in a string of n letters, and the edges correspond to single application of the associativity rule.

Excerpt from the Wikipedia article “Associahedron”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: Nilesj, CC0, via Wikimedia Commons.