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On the Golden Ratio

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Abstract

In this article we discuss some ideas associated with the Golden Ratio and its alleged appearances in art and biology.

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Notes

  1. 1.

    Leonardo da Vinci illustrated this book, a fact that gave rise to the legend that da Vinci knew about Φ and used it in his works.

  2. 2.

    Provided the reader has no difficulty in using corners of square paper as folding points.

  3. 3.

    Unfortunately, the author lost the reference to the source of this illustration.

  4. 4.

    “This deviation from the golden ratio is particularly noticeable in the Jewess (Fig. M) and in the young Negro woman from Equatorial Africa (Fig. K)”.

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Correspondence to Michel Spira .

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© 2015 Springer International Publishing Switzerland

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Spira, M. (2015). On the Golden Ratio. In: Cho, S. (eds) Selected Regular Lectures from the 12th International Congress on Mathematical Education. Springer, Cham. https://doi.org/10.1007/978-3-319-17187-6_42

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