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Visible Harmonies: Mathematical Models

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Abstract

The hall of the 1986 Venice Biennale dedicated to Art and Science opened with works by Lucio Saffaro (the artist whose works are featured on all the covers of books in the Imagine Math book series), along with Felice Ragazzo’s reconstruction of Kepler’s model of how the universe works, when Kepler still believed that the orbits of the planets were circular and circumscribed by the regular solids first described by Plato [27, 5, 28, 6, 8, 9].

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Notes

  1. 1.

    Eng. trans, Johannes Kepler, The Harmony of the World, E. J. Aiton, A. M. Duncan and J. V. Field, Philadelphia, American Philosophical Society, 1997, p. 397-398.

  2. 2.

    Eng. trans, Johannes Kepler, The Harmony of the World, E. J. Aiton, A. M. Duncan and J. V. Field, Philadelphia, American Philosophical Society, 1997, p. 116.

  3. 3.

    The well-known Steiner’s Surface (or Roman Surface, so-called because according to the account given by Eugenio Beltrami (1835-1900) it was conceived by Jacob Steiner (1796-1863) during his stay in Rome in 1844) is a rational surface of degree 4 and class 3, of tetrahedral symmetry, of the Cartesian equation x 2 y 2 + y 2 z 2 + z 2 x 2 + xyz = 0.

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Emmer, M. (2015). Visible Harmonies: Mathematical Models. In: Emmer, M. (eds) Imagine Math 3. Springer, Cham. https://doi.org/10.1007/978-3-319-01231-5_6

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