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Associahedron — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Associahedron
License (as archived): CC-BY-SA-4.0
Archived: 2026-11-10T04:41:26.204Z
SHA-256 of the archived text: ca6819f13097d4f2bd0ec37592008ae6c8a510b078f283f0387275a24034da50
Stable URL of this page: https://metraipolis.com/documento/dc_50e8d3ffbb95

How to cite

Associahedron — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Associahedron (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_50e8d3ffbb95 (Metraipolis archive dc_50e8d3ffbb95, sha256 ca6819f13097d4f2bd0ec37592008ae6c8a510b078f283f0387275a24034da50)

BibTeX

@misc{dc50e8d3ffbb95,
  title = {Associahedron — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Associahedron},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_50e8d3ffbb95; sha256 ca6819f13097d4f2bd0ec37592008ae6c8a510b078f283f0387275a24034da50},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Associahedron. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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.

Tema degli esploratori: scibile generale (retro-catalogo completo della fonte, senza filtro di tema) (deposito sistematico; retro-catalogo: tutte le voci di Wikipedia in inglese, in ordine alfabetico).
Fonte: Wikipedia in inglese, voce «Associahedron» — https://en.wikipedia.org/wiki/Associahedron
Wikidata Q4809117: «(𝑛−2)-dimensional convex polytope in which each vertex corresponds to a parenthesization of a word of 𝑛 letters and each edge corresponds to an application of the associativity rule» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q4809117
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Associahedron?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1380872159, consultata il 2026-11-10T04:38:06.814Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 9d09c73658960aff592be01fccc03c0ed93e6ed130569abbfa07395243aaa1b7