What does associahedron mean?
Definitions for associahedron
as·so·ci·a·he·dron
This dictionary definitions page includes all the possible meanings, example usage and translations of the word associahedron.
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Wiktionary
associahedronnoun
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.
Wikipedia
Associahedron
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. Equivalently, the vertices of an associahedron correspond to the triangulations of a regular polygon with n + 1 sides and the edges correspond to edge flips in which a single diagonal is removed from a triangulation and replaced by a different diagonal. Associahedra are also called Stasheff polytopes after the work of Jim Stasheff, who rediscovered them in the early 1960s after earlier work on them by Dov Tamari.
Wikidata
Associahedron
In mathematics, an associahedron or Stasheff polytope Kn is 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 single application of the associativity rule. Initially Jim Stasheff considered these objects as curvilinear polytopes. K4 is a pentagon. K5 is an enneahedron, and its dual is the triaugmented triangular prism. The number of vertices in Kn + 1 is the nth Catalan number. The number of faces of all dimensions is a Schröder–Hipparchus number.
Numerology
Chaldean Numerology
The numerical value of associahedron in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of associahedron in Pythagorean Numerology is: 5
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"associahedron." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/associahedron>.
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