Abstract
The Escher Theorem was first proved and discussed in the context of mathematical gesture theory (Mazzola and Andreatta, 2007; Mazzola, 2009). We shall review the theorem here as a case study relating to explicit strategies for creativity. This theorem was first applied to describe creative strategies in free jazz, see (Mazzola and Cherlin, 2009).
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References
Mazzola G and M Andreatta: Diagrams, Gestures, and Formulas in Music. Journal of Mathematics and Music 2007, Vol. 1, no. 1, 2007
Mazzola G and P B Cherlin: Flow, Gesture, and Spaces in Free Jazz—Towards a Theory of Collaboration. Springer Series Computational Music Science, Heidelberg et al. 2009
Mazzola G: Categorical Gestures, the Diamond Conjecture, Lewin’s Question, and the Hammerklavier Sonata. Journal of Mathematics and Music Vol. 3, no. 1, 2009
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© 2011 Springer-Verlag Berlin Heidelberg
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Mazzola, G., Park, J., Thalmann, F. (2011). The Escher Theorem. In: Musical Creativity. Computational Music Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24517-6_24
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DOI: https://doi.org/10.1007/978-3-642-24517-6_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24516-9
Online ISBN: 978-3-642-24517-6
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