Vera de Spinadel

Vera Martha Winitzky de Spinadel (born 1929, Buenos Aires, Argentina) – mathematician; full emeritus 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, OCLC 246088542, 1998.
• «The Metallic Means and Design», Nexus II: Architecture and Mathematics. Editora: Kim Williams. Edizioni dell’Erba, ISBN 978-88-86888-13-4, 1998.
• «Del Número de Oro al Caos». Editorial Nobuko S. A., ISBN 978-987-43-5890-5, 2003.
• «Geometría Fractal», en colaboración con Jorge G. Perera y Jorge H. Perera, con un CD de gráficos. Editorial Nobuko S. A., ISBN 978-987-1135-20-2, 2003.
• «From the Golden Mean to Chaos», Editorial Nobuko S. A., ISBN 978-987-1135-48-6, 2004.
• «Geometría Fractal», jointly with Jorge G. Perera & Jorge H. Perera, Editorial Nueva Librería, 2nd edition, ISBN 978-987-1104-45-1, 2007.
• «From the Golden Mean to Chaos»,3rd. edition <Editorial Nueva Librería ISBN 978-987-1104-83-3, 2010.

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 978-950-29-0363-7, 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 978-1-879585-58-4, 1997, pp. 81–116.
• «Una nueva familia de números«, Anales de la Sociedad Científica Argentina, vol. 228, Nro. 1, pp. 101–107, 1998.
• «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 978-84-930669-0-1, pp. 453–460.
• «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 978-0-7300-2526-9.
• «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, ISSN 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 978-84-930669-1-8. 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 978-987-1104-52-9.
• «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 978-987-1104-52-9.
• «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 978-85-7114-175-9.

External links

• Vera W. de Spinadel. "Intersections of mathematics and arts" (at Wikiznanie in English)
• Stakhov A.P. "Metallic Means" by Wera Spinadel (in Russian)