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Volume 33, Number 1, pages 025-044 (2022)
https://doi.org/10.26830/symmetry_2022_1_025
THE GENERALIZATION OF CLELIA CURVES
Paolo Emilio Ricci*
* International Telematic University UniNettuno, 39 Corso Vittorio Emanuele II, Roma 00186, Italy
E-mail: paoloemilioricci@gmail.com
ORCID: 0000-0002-7899-3087
Abstract: A few biographical notes about the life of Clelia Grillo Borromeo and of her husband, Count Giovanni Benedetto Borromeo Arese, are given. This article discusses the spherical curves, called clélie, dedicated to her by L. Guido Grandi. Then some possible generalizations of the clélie curves are proposed.
Keywords: Clelia curves, Pseudo-Chebyshev polynomials, 3D Rhodonea curves.
PACS 2010: 01.65.+g, 02.40.Dr.
MSC 2010: 14H50, 97A30, 01A50.
References:
Grandi, L.G. (1728) Flores Geometrici ex Rhodonearum et Cloeliarum curvarum descriptione resultantes, Florence, Italy: Typis Regiae Celsitudinis.
Ricci, P.E. (2018) Complex spirals and pseudo-Chebyshev polynomials of fractional degree, Symmetry, 10, 12, 671. https://doi.org/10.3390/sym10120671
Ricci, P.E. (2020) A Survey on pseudo-Chebyshev Functions, 4open, 3, 2. https://doi.org/10.1051/fopen/2020001
Serralunga Bardazza, A.M. (2011) Clelia Grillo Borromeo Arese: Un salotto letterario settecentesco tra arte, scienza e politica, Florence, Italy: Olschki.
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