associahedron

(π‘›βˆ’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
Class type of: convex polytope Q4809117

Facts

6 properties
Instance of
polytope family
Discoverer or inventor
Jim Stasheff, Dov Tamari[2][3]
Maintained by WikiProject
WikiProject Mathematics[8]
Time of discovery or invention
2000[7]
🏷️ Also known as
en associahedron en Stasheff polytope de Assoziaeder de Assoziahedron es asociaedro es politopo de Stasheff fr associaΓ¨dre fr polytope de Stasheff he ΧΧ‘Χ•Χ¦Χ™ΧΧ”Χ“Χ¨Χ•ΧŸ hu asszociaΓ©der hu asszociΓ©der hu Stasheff-politΓ³p it associaedro ja γ‚’γ‚½γ‚·γ‚’γƒ˜γƒ‰γƒ­γƒ³ ja γ‚Ήγ‚Ώγ‚·γ‚§γƒ•ε€šι’δ½“ ja γ‚Ήγ‚Ώγ‚·γ‚§γƒ•η΅εˆε€šι’δ½“ ja η΅εˆε€šι’δ½“ ko 결합닀면체 ko μ–΄μ†Œμ…”νžˆλ“œλ‘  nl associaΓ«der
πŸ”– Identifiers Β· 5
Image (Wikimedia Commons)
Associahedron K5 front.svg β†—
Freebase ID
/m/04n3s7y
MathWorld ID
Associahedron
Microsoft Academic ID (discontinued)
2779221011

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πŸ”— Connections
Named after 2
Discoverer or inventor 1
Instance of 1
Maintained by WikiProject 1
Subclass of 1
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Summary

associahedron is a polytope family[1].

Body

Works and Contributions

Credited discoveries include Jim Stasheff[2], a mathematician[9], b. 1936[10], of United States[11], awarded the Fellow of the American Mathematical Society[12] and Dov Tamari[3], a mathematician[13], 1911–2006[14], of Hungary[15].

References

Programmatic citations β€” every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.

Inline context (facts about related entities)

  1. [9] ↑ . Wikidata. wikidata.org. β†’ on this site
  2. [10] ↑ . Wikidata. wikidata.org. β†’ on this site
  3. [11] ↑ . Wikidata. wikidata.org. β†’ on this site
  4. [12] ↑ . Wikidata. wikidata.org. β†’ on this site
  5. [13] ↑ . Wikidata. wikidata.org. β†’ on this site
  6. [14] ↑ . Wikidata. wikidata.org. β†’ on this site
  7. [15] ↑ . Wikidata. wikidata.org. β†’ on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). associahedron. Retrieved November 2, 2026, from https://4ort.xyz/entity/associahedron
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BibTeX @misc{4ortxyz_associahedron_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{associahedron}}, year = {2026}, url = {https://4ort.xyz/entity/associahedron}, note = {Accessed: 2026-11-02}}
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