University of Kashan Mathematics Interdisciplinary Research 2538-3639 6 2 2021 06 01 Golden Ratio‎: ‎The Mathematics of Beauty 159 170 89245 10.22052/mir.2019.174577.1123 EN Hamid Ghorbani Faculty of Mathematical Sciences, Department of Statistics, University of Kashan, Kashan, Iran Journal Article 2019 03 10 <span class="fontstyle0">Historically, mathematics and architecture have been associated with one another. Ratios are good example of this interconnection. The origin of ratios can be found in nature, which makes the nature so attractive. As an example, consider the architecture inspired by flowers which seems so harmonic to us. In the same way, the architectural plan of many well-known historical buildings such as mosques and bridges shows a rhythmic balance which according to most experts the reason lies in using the ratios. The golden ratio has been used to analyze the proportions of natural objects as well as building’s harmony. In this paper, after recalling the (mathematical) definition of the golden ratio, its ability to describe the harmony in the nature is discussed. When teaching mathematics in the schools, one may refer to this interconnection to encourage students to feel better with mathematics and deepen their understanding of proportion. At the end, the golden ratio decimals as well as its binary digits has been statistically examined to confirm their behavior as a random number generator.</span> https://mir.kashanu.ac.ir/article_89245_f2cc6f6651ceba63a70814531a9dfd9c.pdf