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References

Composer, David B. (2018, Oct. 23). How Composers use Fibonacci Numbers & Golden Ratio | Composing with Fibonacci [Video File]. Retrieved from https://www.youtube.com/watch?v=yAyi8e5RDXw

Goonatilake,S., Toward a Global Science, Indiana University Press, 1998, ISNB 978-0-253-33388-9, pp. 126.

Howat, Roy. Debussy in Proportion: A Musical Analysis. Cambridge: Cambridge UP, 1983. p. 1.

H. E. Huntley. The Divine Proportion: A Study in Mathematical Beauty (Dover Books on Mathematics),1970, ISBN-10: 0486222543, pp.25,157,158.

[Kurzgesagt – In a Nutshell]. (2018, Oct. 23). Why Beautiful Things Make us Happy – Beauty Explained [Video File]. Retrieved from https://www.youtube.com/watch?v=-O5kNPlUV7w

Livio, M., The Golden Ratio: The Story of Phi, the World's Most Astonishing Number. New York: Broadway Books, 2002. Mastroeni, Tara. “How Architects Take Advantage of The Golden Ratio.” Freshome, 29 Oct. 2014, freshome.com/2014/10/29/how-architects-take-advantage-of-the-golden-ratio/.

Meisner, Gary. “Acoustics and the Golden Ratio.” 12 May 2012, https://www.goldennumber.net/acoustics/

Meisner, Gary. “Beauty, the Perfect Face and the Golden Ratio, Featuring Florence Colgate.” Goldennumber, PhiPoint Solutions, LLC, 13 Jan. 2017, www.goldennumber.net/facial-beauty-golden-ratio-florence-colgate/.

Meisner, G., Quasi-crystals and the Golden Ratio(2012), retrieved from https://www.goldennumber.net/quasi-crystals/

Moore, Randy. “The Numbers of Life. (Fibonacci Numbers in Nature) (Editorial).” The American Biology Teacher, vol. 54, no. 2, 1992, pp. 68–69.

Sahu, K., Charan, N. S., & Kumar, H (n.d.). Critical Assessment of Golden Ratio in Architecture by Fibonacci Series and Le Modulor System.

Shekhawat, Krishnendra. “Why Golden Rectangle Is Used so Often by Architects: A Mathematical Approach.” Alexandria Engineering Journal, vol. 52, no. 2, 19 Jan. 2015, pp. 213–222.

Tannenbaum, Peter. Excursions in Modern Mathematics. Upper Saddle River, N.J: Pearson Prentice Hall, 2018. Print. Van Gend, Robert. “The Fibonacci Sequence and the Golden Ratio in Music.” Notes on Number Theory and Discrete Mathematics, vol. 20, no. 1, 2014, pp. 72-77.

Weisstein, Eric W. "Golden Ratio." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/GoldenRatio.html

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood