golden ratio

noun

The irrational number (approximately 1.618), usually denoted by the Greek letter φ (phi), which is equal to the sum of its own reciprocal and 1, or, equivalently, is the square root of the sum of itself and 1.

Similar
extreme ratiogolden cutgolden numbergolden proportionmean ratiosectio divinamul:ϕ
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Meanings

noungolden ratio (plural golden ratios)

plural golden ratios

  1. geometryThe irrational number (approximately 1.618), usually denoted by the Greek letter φ (phi), which is equal to the sum of its own reciprocal and 1, or, equivalently, is the square root of the sum of itself and 1.

    Synonyms: extreme ratio, golden cut, golden number, golden proportion, mean ratio, sectio divina, mul:ϕ

Synonyms & antonyms

nounThe irrational number (approximately 1.618), usually denoted by the Greek letter φ (phi), which is equal to the sum of its own reciprocal and 1, or, equivalently, is the square root of the sum of itself and 1.

Similar
extreme ratiogolden cutgolden numbergolden proportionmean ratiosectio divinamul:ϕ
Also see
extreme ratiogolden cutgolden numbergolden proportionmean ratiosectio divina

Translations

Arabic الرَقْم الذَهَبِيّ
  • الرَقْم الذَهَبِيّ (ar-raqm aḏ-ḏahabiyy)irrational number
Bulgarian златно сечение
  • златно сечение (zlatno sečenie)irrational number
Chinese Mandarin 黃金分割 /黄金分割
  • 黃金分割 /黄金分割 (huángjīn fēngē)irrational number
Czech zlatý řez
  • zlatý řezirrational number
Danish gyldne snit, guddommelige forhold
  • gyldne snitirrational number
  • guddommelige forholdirrational number
  • det gyldne snitirrational number
Dutch gulden snede
  • gulden snedeirrational number
Esperanto ora proporcio
  • ora proporcioirrational number
Estonian kuldlõige
  • kuldlõigeirrational number
Finnish kultainen leikkaus
  • kultainen leikkausirrational number
French nombre d’or
  • nombre d’orirrational number
German Goldener Schnitt
  • Goldener Schnittirrational number
Greek χρυσή τομή
  • χρυσή τομή (chrysí tomí)irrational number
Hebrew יחס הזהב
  • יחס הזהבirrational number
Hungarian aranymetszés, aranyarány
  • aranymetszésirrational number
  • aranyarányirrational number
Icelandic gullinsnið
  • gullinsniðirrational number
Italian sezione aurea
  • sezione aureairrational number
Japanese 黄金比, 黄金比率
  • 黄金比irrational number
  • 黄金比率 (ōgon hiritsu)irrational number
Korean 황금비
  • 황금비 (hwanggeumbi)irrational number
Latvian zelta griezums
  • zelta griezumsirrational number
Lithuanian aukso pjūvi
  • aukso pjūviirrational number
Persian نسبت طلایی
  • نسبت طلاییirrational number
Polish złota proporcja, złoty podział
  • złota proporcjairrational number
  • złoty podziałirrational number
  • boska proporcjairrational number
Portuguese proporção áurea
  • proporção áureairrational number
Romanian secțiunea de aur
  • secțiunea de aurirrational number
Russian золото́е сече́ние
  • золото́е сече́ние (zolotóje sečénije)irrational number
Slovak zlatý rez
  • zlatý rezirrational number
Spanish número áureo
  • número áureoirrational number
Swedish gyllene snittet
  • gyllene snittetirrational number
Thai อัตราส่วนทองคำ
  • อัตราส่วนทองคำ (àtdraa sùan tong kam)irrational number
Turkish altın oran
  • altın oranirrational number
Ukrainian золоти́й пере́тин
  • золоти́й пере́тин (zolotýj perétyn)irrational number
Vietnamese tỷ lệ vàng
  • tỷ lệ vàngirrational number
Cite this entry
APA

golden ratio. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/golden%20ratio

MLA

“golden ratio.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/golden%20ratio. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “golden ratio,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/golden%20ratio.

Source: golden ratio on Wiktionary, CC BY-SA 4.0.