Advanced search
Publication Cover
Mathematics Magazine Volume 97, 2024 - Issue 3
Submit an article Journal homepage
149
Views
0
CrossRef citations to date
0
Altmetric
Articles

Using the Golden Section to Approximate π

Luděk SpíchalCzech Forestry Academy, Trutnov, Czech RepublicCorrespondence[email protected]
View further author information
Pages 315-320 | Received 27 Aug 2022, Accepted 09 Oct 2023, Published online: 16 Apr 2024

References

  • Spíchal L. Jednotková parabola, zlatý řez a parabolické π. Rozhledy Matematicko-fyzikální 2021;96(1):8–17. [in Czech]
  • Spíchal L. About the Harmonic Mean on the Unit Parabola. Symmetry: cult sci. 2022;33(1):45–54. DOI: 10.26830/symmetry_2022_1_045.
  • Abrarov SM, Siddiqui R, Jagpal RK, Quine BM. A new form of the Machin-like formula for π by iteration with increasing integers. J Integer Seq. 2022;25.
  • Navarro J. Secrets of π. Why the circle can’t be squared. RBA ColeccionabLes SA; 2017.
  • Nishiyama Y. Machin’s formula and Pi. Int J Pure Appl Math. 2013;82(3):421–430.
  • Lehmer DH. On Arccotangent relations for π. Amer Math Monthly. 1938;45(10):657–664.
  • Chien-Lih H. More Machin-Type identities. Math Gaz. 1997;81(490):120–121. DOI: 10.2307/3618793.
  • Rajput, C. Metallic ratios: beyond the golden ratio. The mathematical relationships between different metallic means. J Adv Math. 2021;20:158–166. DOI: 10.24297/jam.v20i.9023.
  • Sivaraman R. Exploring metallic ratios. J Math Stat. 2020;8(4):388–391. DOI: 10.13189/ms.2020.080403.
  • Spinadel VW. From the Golden Mean to Chaos. Buenos Aires: Editorial Nueva Librería; 1998.
  • Spinadel VW, Paz JM. A new family of irrational numbers with curious properties. Humanist Math Netw J. 1999;19:33–37.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.