Vera de Spinadel

Vera Martha Winitzky de Spinadel (b. 1929, Buenos Aires, Argentina) – mathematician; full consultant professor of mathematics at the University of Buenos Aires; director of the research Center of Mathematics & Design (MAyDI), having received many I&D grants and personal grants to develop the activities of many research groups; director of Mathematics & Design Laboratory at the Faculty of Architecture, Design and Urban Planning, University of Buenos Aires; president of the International Mathematics & Design Association since 1998, that publishes the Journal of Mathematics & Design twice a year; basic works on geometrical fractals and application of mathematics in architecture and design; her works in the field of "Metallic Means" in development of the classical Golden Proportion got wide international recognition.

Books

*«From the Golden Mean to Chaos», Editorial Nueva Librería, Buenos Aires, Argentina, ISBN 950-43-9329-1, 1998.
*«The Metallic Means and Design», Nexus II: Architecture and Mathematics. Editora: Kim Williams. Edizioni dell’Erba, ISBN 88-86888-13-9, 1998.
*«Del Número de Oro al Caos». Editorial Nobuko S. A., ISBN 987-43-5890-4, 2003.
*«Geometría Fractal», en colaboración con Jorge G. Perera y Jorge H. Perera, con un CD de gráficos. Editorial Nobuko S. A., ISBN 987-1135-20-3, 2003.
*«From the Golden Mean to Chaos», Editorial Nobuko S. A., ISBN987-1135-48-3, 2004.
*«Geometría Fractal», jointly with Jorge G. Perera & Jorge H. Perera, Editorial Nueva Librería, 2nd edition, ISBN 978-987-1104-45-1, 2007.

Papers

*«Sistemas Estructurados y Creatividad», opening conference at the International Mathematics & Design Conference MyD-95, 23-27 October 1995, FADU, Buenos Aires, Argentina,. Proceedings ISBN 950-29-0363-3, 1996.
*«La familia de números metálicos en Diseño». Primer Seminario Nacional de Gráfica Digital, Sesión de Morfología y Matemática, FADU, UBA, 11-13 Junio de 1997. Volumen II, ISBN 950-25-0424-9.
*«On Characterization of the Onset to Chaos», Chaos, Solitons and Fractals, 8, No. 10, pp. 1631-1643, 1997.
*«New Smarandache sequences», Proceedings of the First International Conference on Smarandache type Notions in Number Theory, ed. C. Dumitrescu & V. Seleacu, University of Craiova, 21-24 August 1997, American Research Press, Lupton, ISBN 1-879585-58-8, 1997, pp. 81-116.
*«Una nueva familia de números«, Anales de la Sociedad Científica Argentina, vol. 228, Nro. 1, pp. 101-107, 1998.
* [http://www.leonet.it/culture/nexus/network «Triangulature in Andrea Palladio», Nexus Network Journal, Architecture and Mathematics on line in_Andrea_Palladio.html]
*«A new family of irrational numbers with curious properties», Humanistic Mathematics Network Journal, Issue # 19, pp. 33-37, ISSN 1065-82, March 1999.
*«The Metallic Means family and multifractal spectra», Nonlinear Analysis 36, pp. 721-745, 1999.
*«The Golden Mean and its many relatives», First Interdisciplinary Conference of The International Society of the Arts, Mathematics and Architecture ISAMA 99, San Sebastián, Spain, 7-11 June 1999. Editors: Nathaniel A. Friedman and Javier Barrallo. ISBN 84-930669-0-7, pp. 453-460.
* [http://members.tripod.com/vismath/ «The family of Metallic Means», Visual Mathematics, vol. I, Nro. 3, 1999]
*«The family of Metallic Means», Symmetry: Culture and Science. The Quarterly International Society for the Interdisciplinary Study of Symmetry (ISIS-Symmetry), vol. 10, Numbers 3-4, pp. 317-338, 1999.
*«The Metallic Means family and Renormalization Group Techniques», Proceedings of the Steklov Institute of Mathematics, Suppl. 1, 2000, pp. S194-S209.
*«Fracciones continuas y la teoría de las proporciones de Palladio», ICVA Primer Congreso Virtual de Arquitectura, 1 December 1999 to 31 January 2000
*«Half-regular Continued Fraction Expansions and Design», Journal of Mathematics & Design, vol. 1, No. 1, March 2001.
*«Continued Fraction Expansions and Design», The Proceedings of Mathematics & Design 2001, The Third International Conference, July 3-5, 2001, The School of Architecture & Building, The School of Computing & Mathematics, Deakin University, Geelong, Australia, ISBN 0 7300 2526 8.
*«Geometric representation of purely periodic Metallic Means», en colaboración con Martín L. Benarroch, Walter L. Geler and Stella M. Sirianni, Journal of Mathematics & Design, vol. 1, No. 2, Summer 2001, ISSN 1515-7881.
*«The metallic means family and forbidden symmetries», International Mathematical Journal, vol. 2, No. 3, pp. 279-288, 2002.
*«The Set of Silver Integers», Journal of Mathematics & Design, vol. 2, No. 1, 2002.
*«Symmetry Groups in Mathematics, Architecture and Art», Special issue of the papers presented at the Matomium Euro-Workshop 2002. Edited by the Department of Architecture Sint-Lucas, Bruselas, Bélgica. Symmetry: Art and Science, vol. 2 (new series), No. 1-4, pp.385-403, 2002, ISBN 1447-607X
*«Geometría Fractal y Geometría Euclidiana», Revista de Educación y Pedagogía, Medellín, Colombia, Universidad de Antioquia, Facultad de Educación, vol. XV, Nro. 35, pp. 83-93, Enero-Abril 2003, ISSN 0121-7593.
*«Number theory and Art», ISAMA-Bridges 2003. Conference Proceedings of Meeting Alhambra, University of Granada, Granada, España. Editors: Javier Barrallo, Nathaniel Friedman, Reza Sarhangi, Carlo Séquin, José Martínez and Juan A. Maldonado. ISBN 84-930669-1-5. pp. 415-423, 2003.
*«La familia de Números Metálicos», Cuadernos del Cimbage, Instituto de Investigaciones en Estadística y Matemática Actuarial, Facultad de Ciencias Económicas, UBA, No. 6, pp. 17-45, ISSN 1666-5112, May 2004.
*«Generalized Silver Means Subfamily», Journal of Mathematics & Design, vol. 6, No. 1, pp. 53-59, 2007. Editorial Nueva Librería ISBN 987-987-1104-52-9.
*«Orígenes Históricos del Número de Plata y sus Aplicaciones en Arquitectura», Journal of Mathematics & Design, vol. 6, No. 1, pp. 93-99, 2007. Editorial Nueva Librería ISBN 987-987-1104-52-9.
*«Conceptos fractales aplicados al Diseño», Actas del Primer Congreso Internacional de Matemáticas en Ingeniería y Arquitectura, Universidad Politécnica de Madrid, 30 Mayo al 1 de Junio 2007, pp. 137-146, ISBN 978-84-7493-381-9.
*«Aplicaciones de Geometría Fractal en el campo de la construcción», Actas del Primer Congreso Internacional de Matemáticas en Ingeniería y Arquitectura, Universidad Politécnica de Madrid, 30 Mayo al 1 de Junio 2007, pp. 215-220, ISBN 978-84-7493-381-9.
*«Espirales asociadas a los Números Metálicos», en colaboración con Antonia Redondo Buitrago, 5th Mathematics & Design International Conference, Blumenau, Brazil, 1-4 July 2007, ISBN 978-85-7114-175-4.

Links

* [http://www.wikiznanie.ru/ru-wz/index.php/%D0%9F%D0%BE%D0%BB%D1%8C%D0%B7%D0%BE%D0%B2%D0%B0%D1%82%D0%B5%D0%BB%D1%8C:Helgus/_Intersections_of_mathematics_and_arts Vera W. de Spinadel. "Intersections of mathematics and arts" (at Wikiznanie in English)]
* [http://www.trinitas.ru/rus/doc/0232/004a/02320029.htm Stakhov A.P. "Metallic Means" by Wera Spinadel (in Russian)]