Advertisement

Magic Squares and Art

  • Robert A. Nowlan

Abstract

For centuries, people believed there is magic in numbers. Many still do, including numerologists and their clients. Others enjoy testing their skill in solving math challenges. At present the game of Sudoku, a logic-based combinatorial numberplacement puzzle is extraordinarily popular.

Keywords

Pythagorean Theorem Extra Cell Equiangular Spiral Distinct Positive Integer Middle Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

Articles

  1. Albrecht Dürer, A Chronicle of Mathematical People www.robertnowlan.com
  2. Albrecht Dürer: Watercolors and Drawings, John Berger, ed. Taschen, 1994.Google Scholar
  3. Albrecht Dürer’s Melancholia I http://redhawkapahmelancholia.blogspot.com/
  4. Albrecht Dürer: Melencolia I www.metmuseum.org/toah/works-of-art/43.106.1
  5. Ben Franklin’s Amazing Magic Square http://www.math.wichita.edu/~richardson/franklin.html
  6. The Genius of Albrecht Dürer Revealed in Four Self-Portraits www.openculture.com/2013/07/the_genius_of_albrecht_durer
  7. How to Solve Magic Squares. www.ehow.com
  8. Lynch, T. (1982). The geometric body in Durer’s Engraving Melancholia I. Journal of the Warburg and Courtauld Institutes, 226–232.Google Scholar
  9. Magic squares art www.viavilla.com
  10. Magic Squares Art | Sacred Geometry Web www.sacredgeometryweb.com/magic-squares-art
  11. The Magic Square Blog: Art and the Magic Square, Parts One, Two, Three, Four www.the-magic-square.blogspot.com/2011/02/art-and-magic
  12. Magic Square / Atomic Art – Jain, Mathemagics www.jainmathemagics.com/page/1/default.asp
  13. Magic Squares: A Riddle of Art and Mathematics www.blogs.artinfo.com/secrethistoryofart/2011/03/10/magic
  14. A Mini-History of Magic Squares www.grogono.com/magic/history.php
  15. Melancholia I Interpretation of this Drawing http://alchemylab.com/melancholia.htm
  16. Schreiber, P. (1999). A new hypothesis on Dürer’s Enigmatic Polyhedron in his copper engraving ‘Melancholia I. Historia Math, 26, 369–377.CrossRefGoogle Scholar
  17. The Strange World of Albrecht Dürer www.clarkart.edu/
  18. Sudoku Puzzle Rules http://www.sudoku.ws/rules.htm
  19. Take Sudoku Instructions And Solve Every Sudoku Puzzle! http://www.sudokuessentials.com/sudoku-instructions.html

References

  1. Bailey, M. (1995). Albrecht Dürer. London: Phaidon Press.Google Scholar
  2. Bartrum, G. (2002). Albrecht Dürer and his legacy. London: British Museum Press.Google Scholar
  3. Block, S. S., & Tavares, S. A. (2009). Before Sudoku: The world of magic squares. Oxford: Oxford University Press.Google Scholar
  4. Campbell Hutchison, J. (1990). Albrecht Dürer: A biography. Princeton, NJ: Princeton University Press.Google Scholar
  5. Pacioli, L. (1997). De Viribus Quantitative. Milano: Ente raccolta vinciana.Google Scholar
  6. Panofsky, E. (1955). The life, and art of Albrecht Durer. Princeton, NJ: Princeton University Press.Google Scholar
  7. Price, D. H. (2003). Albrecht Dürer’s renaissance: Humanism, reformation and the art of faith. Michigan, MI: University of Michicgan.Google Scholar
  8. Simpson, D. C. (2001). Solving magic squares: Generic solutions to solving magic squares. Bloomington, IN: AuthorHouse.Google Scholar
  9. Strauss, W. L. (Ed.). (1973). The complete engravings, etchings, and drypoints of Albrecht Durer. Mineola, NY: Dover Publications. (Still in print in paperback.)Google Scholar
  10. Wilhelm, K. (Ed.). (2000). The complete woodcuts of Albrecht Durer. Mineola, NY: Dover Publications.Google Scholar
  11. Wolf, N. (2010). Albrecht Dürer. New York, NY: Prestel.Google Scholar

Copyright information

© Sense Publishers 2017

Authors and Affiliations

  • Robert A. Nowlan
    • 1
  1. 1.Southern Connecticut State UniversityNew HavenUSA

Personalised recommendations