Abstract
Paper brings few reflections on attempts to confront mathematical and artistic approach to measuring various aspects of creativity, imagination and our understanding of aesthetic values hidden in the produced fine art and mathematical artefacts. Phenomena that are carriers of these subtle values enable comparison of the concepts of measures and measurement strategies in maths and art. Short revision of the surface measure definitions and application within the two environments is presented, together with continuous efforts of finding their common features and differences on some examples of abstract visual art and its geometric relation to measure theory in mathematics.
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References
Burbanks A Extracting beauty from chaos. Available at http://plus.maths.org/content/os/issue9/features/lyapunov/index
Dartnell L Maths and art: the whistle-stop tour. Available at https://plus.maths.org/content/maths-and-art-whistlestop-tour
Dubová Ž Online artist portfolio. Available at https://www.works.io/zofia-dubova
Jergušová-Vydarená L Webpage. Available at http://www.jergusova-vydarena.sk/
Taylor ME (2006) Measure theory and integration, American Mathematical Society
Velichová D (2010) Surface measures—on the boundary between mathematics and art. J Math Des 10(1):238–245. The International Mathematics & Design Association, Buenos Aires 2011, Argentina
Velichová D Surface measures revisited—on the boundaries of mathematics and art. In Proceedings—Aplimat 2018, Slovak University of Technology in Bratislava, SR, ISBN 978-80-227-4650-2, pp 1659–1667
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Velichová, D. (2021). Measures. In: Magnaghi-Delfino, P., Mele, G., Norando, T. (eds) Faces of Geometry. Lecture Notes in Networks and Systems, vol 172. Springer, Cham. https://doi.org/10.1007/978-3-030-63702-6_23
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DOI: https://doi.org/10.1007/978-3-030-63702-6_23
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