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M.C. Escher: Art, Math, and Cinema

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Abstract

Computer graphics can provide not only a pure visualization of many well-known phenomena but also provide a new way to study mathematical problems, and in particular, geometrical ones. It can be said that a new branch of mathematics has been developing in the last few years, called “Visual Mathematics” [6]. The great potential of computer graphics as a new exploratory medium was recognized by mathematicians soon after the technology became available. As display devices and programming methods grew more sophisticated, so did the depth and scope of applications of computer graphics to mathematical problems. This does not mean that there is no longer any room for handmade drawings and illustrations on mathematical topics by artists and mathematicians.

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References

  1. F.H. Bool, J.R. Kist, J.L. Locher, and F. Wierda, eds., M.C. Escher: His Life and Complete Graphic Work, New York, Harry N. Abrams, 1982.

    Google Scholar 

  2. C.P. Bruter, Topologie et Perception, Maloine-Doin, Paris, 1976, vol. II.

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  3. H.S.M. Coxeter, M. Emmer, R. Penrose, M. Teuber, eds., M.C. Escher: Art and Science, Amsterdam, North-Holland, 1986.

    MATH  Google Scholar 

  4. M. Emmer, The Fantastic World of M.C. Escher, video, 50 minutes, Film 7 Intl., production 1994. English: USA and Japan — Acorn Media; other — Springer-Verlag, Berlin. Italian, French, and Spanish: M. Emmer (space.virgilio.it/m.emmer@virgilio.it).

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  5. M. Emmer, “Movies on M.C. Escher and their Mathematical Appeal,” in [3], pp. 249–262.

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  6. M. Emmer, ed., The Visual Mind: Art and Mathematics, The MIT Press, Boston, 1993.

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  7. M.C. Escher, Escher on Escher: Exploring the Infinite, New York, H.N. Abrams, 1989.

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  8. M.C. Escher, The Graphic Work ofM. C. Escher, Meredith Press, 1960 (reprinted 1996, New York, Wings Books).

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  9. M.C. Escher, Regelmatige Vlakverdeling, De Roos Foundation, Utrecht, 1958; translated Regular Division of the Plane and reprinted in [1], pp. 155–173, and in [7], pp. 90–122.

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  10. J.L. Locher, ed., The World of M.C. Escher, 1972.

    Google Scholar 

  11. J.L. Locher et al., The Magic of M.C. Escher, New York, Harry N. Abrams, 2000.

    Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Emmer, M. (2003). M.C. Escher: Art, Math, and Cinema. In: Schattschneider, D., Emmer, M. (eds) M.C. Escher’s Legacy. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28849-X_14

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  • DOI: https://doi.org/10.1007/3-540-28849-X_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20100-7

  • Online ISBN: 978-3-540-28849-7

  • eBook Packages: Springer Book Archive

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