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
Thing polytope_family Q4809117
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associahedron

Summary

associahedron is a polytope family[1]. associahedron draws 104 Wikipedia views per month (polytope_family category, ranking #3 of 7).[2]

Key Facts

  • associahedron is credited with the discovery of Jim Stasheff[3].
  • associahedron is credited with the discovery of Dov Tamari[4].
  • associahedron's video is recorded as Associahedron.gif[5].
  • associahedron's image is recorded as Associahedron K5 front.svg[6].
  • associahedron's image is recorded as Associahedra.PNG[7].
  • associahedron's image is recorded as Flip graphs.svg[8].
  • associahedron's instance of is recorded as polytope family[9].
  • Jim Stasheff is named after associahedron[10].
  • associativity is named after associahedron[11].
  • associahedron's subclass of is recorded as convex polytope[12].
  • associahedron's Commons category is recorded as Associahedron[13].
  • associahedron's time of discovery or invention is recorded as +2000-00-00T00:00:00Z[14].
  • associahedron's Freebase ID is recorded as /m/04n3s7y[15].
  • associahedron's MathWorld ID is recorded as Associahedron[16].
  • associahedron's nLab ID is recorded as associahedron[17].
  • associahedron's 3D model is recorded as Associaedre.stl[18].
  • associahedron's maintained by WikiProject is recorded as WikiProject Mathematics[19].
  • associahedron's Microsoft Academic ID is recorded as 2779221011[20].

Body

Works and Contributions

Credited discoveries include Jim Stasheff[3], a mathematician[21], b. 1936[22], of United States[23], awarded the Fellow of the American Mathematical Society[24] and Dov Tamari[4], a mathematician[25], 1911–2006[26], of Hungary[27].

Why It Matters

associahedron draws 104 Wikipedia views per month (polytope_family category, ranking #3 of 7).[2] associahedron has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[28] associahedron is known by 12 alternative names across languages and contexts.[29]

References

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

Direct Wikidata claims

  1. [5] ↑ . wikidata.org.
  2. [6] ↑ . wikidata.org.
  3. [7] ↑ . wikidata.org.
  4. [8] ↑ . wikidata.org.
  5. [9] ↑ . wikidata.org.
  6. [3] ↑ . wikidata.org.
  7. [4] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.

Inline context (facts about related entities)

  1. [21] ↑ . Wikidata. wikidata.org. β†’ on this site
  2. [22] ↑ . Wikidata. wikidata.org. β†’ on this site
  3. [23] ↑ . Wikidata. wikidata.org. β†’ on this site
  4. [24] ↑ . Wikidata. wikidata.org. β†’ on this site
  5. [25] ↑ . Wikidata. wikidata.org. β†’ on this site
  6. [26] ↑ . Wikidata. wikidata.org. β†’ on this site
  7. [27] ↑ . Wikidata. wikidata.org. β†’ on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] ↑ . Wikidata sitelinks. wikidata.org.
  3. [29] ↑ . Wikidata aliases. wikidata.org.

πŸ“‘ Cite this page

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 May 3, 2026, from https://4ort.xyz/entity/associahedron
MLA “associahedron.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/associahedron.
BibTeX @misc{4ortxyz_associahedron_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{associahedron}}, year = {2026}, url = {https://4ort.xyz/entity/associahedron}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): associahedron — https://4ort.xyz/entity/associahedron (retrieved 2026-05-03)

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