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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golden ratio

Summary

golden ratio is a mathematical constant[1]. It ranks in the top 2% of mathematical_constant entities by monthly Wikipedia readership (14,758 views/month).[2]

Key Facts

  • golden ratio's instance of is recorded as mathematical constant[3].
  • golden ratio's instance of is recorded as irrational number[4].
  • golden ratio's instance of is recorded as algebraic number[5].
  • golden ratio's instance of is recorded as constructible number[6].
  • golden ratio's instance of is recorded as metallic ratio[7].
  • golden ratio's instance of is recorded as Brjuno number[8].
  • golden ratio is used for mathematics and architecture[9].
  • golden ratio is used for mathematics and art[10].
  • golden ratio's Commons category is recorded as Golden ratio[11].
  • golden ratio comprises Golden ratio in art[12].
  • golden ratio's topic's main category is recorded as Category:Golden ratio[13].
  • golden ratio's notation is recorded as Φ/φ[14].
  • golden ratio's Commons gallery is recorded as Golden ratio[15].
  • golden ratio's numeric value is recorded as {'amount': '+1.6180339887498948482045868343656381177203091798057628621354486227052604628189024497072072041893911374847540880753868917521266'}[16].
  • golden ratio's described by source is recorded as Granat Encyclopedic Dictionary[17].
  • golden ratio's described by source is recorded as Armenian Soviet Encyclopedia, vol. 8[18].
  • golden ratio's described by source is recorded as Meyers Konversations-Lexikon, 4th edition (1885–1890)[19].
  • golden ratio's different from is recorded as Q9393496[20].
  • golden ratio's different from is recorded as Golden Rule[21].
  • golden ratio's different from is recorded as Goldens[22].
  • golden ratio's permanent duplicated item is recorded as Q96464922[23].
  • golden ratio's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[24].
  • golden ratio's maintained by WikiProject is recorded as WikiProject Mathematics[25].

Body

Definition and Type

Recorded instance of include mathematical constant[3], irrational number[4], algebraic number[5], constructible number[6], metallic ratio[7], and Brjuno number[8].

Use and Application

Recorded has use include mathematics and architecture[9] and mathematics and art[10]. golden ratio comprises Golden ratio in art[12].

Influence

Things named for golden ratio include supergolden ratio[26], an irrational number[27].

Why It Matters

golden ratio ranks in the top 2% of mathematical_constant entities by monthly Wikipedia readership (14,758 views/month).[2] It has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[28] It is known by 161 alternative names across languages and contexts.[29]

Entities named for it include supergolden ratio[26], an irrational number[27].

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] . wikidata.org.
  14. [16] . Wolfram Alpha. Retrieved . 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.
  23. [25] . wikidata.org.

Inverse relationships (entities pointing at this one)

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

Inline context (facts about related entities)

  1. [27] . 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. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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 May 3, 2026, from https://4ort.xyz/entity/golden-ratio
MLA “golden ratio.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 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: 2026-05-03}}
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 2026-05-03)

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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. 13d 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 */ [[Property:P2347]]: 21543, mv to monolingual text names on YSO statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.