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Measures

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Faces of Geometry

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 172))

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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

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  7. 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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Correspondence to Daniela Velichová .

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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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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-63701-9

  • Online ISBN: 978-3-030-63702-6

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