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golden ratio

ratio between two quantities whose sum is at the same ratio to the larger one
Thing mathematical_constant Q41690
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Summary

golden ratio is a mathematical constant[1]. It ranks in the top 2% of mathematical constant entities by monthly Wikipedia readership (41,628 views/month).[2]

Key Facts

  • Instance of: irrational number[3], algebraic number[4], constructible number[5], metallic ratio[6], Brjuno number[7]
  • Has use: mathematics and architecture[8], mathematics and art[9]
  • Commons category: Golden ratio[10]
  • Has part(s): Golden ratio in art[11]
  • Topic's main category: Category:Golden ratio[12]
  • Notation: Φ/φ[13]
  • Commons gallery: Golden ratio[14]
  • Numeric value: 1.6180339887498948482045868343656381177203091798057628621354486227052604628189024497072072041893911374847540880753868917521266[15]
  • Described by source: Granat Encyclopedic Dictionary[16], Armenian Soviet Encyclopedia, vol. 8[17], Meyers Konversations-Lexikon, 4th edition (1885–1890)[18]
  • Different from: Q9393496[19], Golden Rule[20], Goldens[21]
  • Permanent duplicated item: Q96464922[22]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[23]
  • Maintained by WikiProject: WikiProject Mathematics[24]

Body

Influence

Things named for golden ratio include supergolden ratio[25], an irrational number[26].

Why It Matters

golden ratio has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[27] It is known by 190 alternative names across languages and contexts.[28]

Entities named for it include supergolden ratio[25], an irrational number[26].

Related Entities

Alexey Stakhov

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . Wolfram Alpha. Retrieved . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . wikidata.org.
  21. [23] ↑ . wikidata.org.
  22. [24] ↑ . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [25] ↑ . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [26] ↑ . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] ↑ . Wikidata sitelinks. wikidata.org.
  3. [28] ↑ . Wikidata aliases. wikidata.org.

📑 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). golden ratio. Retrieved October 17, 2026, from https://4ort.xyz/entity/golden-ratio
MLA “golden ratio.” 4ort.xyz Knowledge Graph, 4ort.xyz, 17 Oct. 2026, https://4ort.xyz/entity/golden-ratio.
BibTeX @misc{4ortxyz_golden-ratio_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{golden ratio}}, year = {2026}, url = {https://4ort.xyz/entity/golden-ratio}, note = {Accessed: 2026-10-17}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): golden ratio — https://4ort.xyz/entity/golden-ratio (retrieved 2026-10-17)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 18w ago · Jindřich Rubeš · 2026-06-11 view diff on Wikidata ↗
    Svkkl authority id → 0239928-zlaty-rez
    "/* wbcreateclaim-create:1| */ Svkkl authority id: 0239928-zlaty-rez, [[:toollabs:quickstatements/#/batch/259496|batch #259496]]"
  2. 21w ago · Twofivesixbot bot · 2026-05-19 view diff on Wikidata ↗
    Different from → Q9393496, Golden Rule, Goldens
    Maintained by wikiproject → WikiProject Mathematics
    Aliases → —
    Instance of → —
    + 11 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|9 */ Yso id: 21543, mv to monolingual text names on YSO statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.