2001.00001.pdf (6.39 MB)
Download file

Quantum GestART: Identifying and Applying Correlations between Mathematics, Art, and Perceptual Organization

Download (6.39 MB)
journal contribution
posted on 23.03.2020, 16:31 by Maria Mannone, Federico Favali, Balandino Di Donato, Luca Turchet
Mathematics can help analyze the arts and inspire new artwork. Mathematics can also help make transformations from one artistic medium to another, considering exceptions and choices, as well as artists' individual and unique contributions. We propose a method based on diagrammatic thinking and quantum formalism. We exploit decompositions of complex forms into a set of simple shapes, discretization of complex images, and Dirac notation, imagining a world of “prototypes” that can be connected to obtain a fine or coarse-graining approximation of a given visual image. Visual prototypes are exchanged with auditory ones, and the information (position, size) characterizing visual prototypes is connected with the information (onset, duration, loudness, pitch range) characterizing auditory prototypes. The topic is contextualized within a philosophical debate (discreteness and comparison of apparently unrelated objects), it develops through mathematical formalism, and it leads to programming, to spark interdisciplinary thinking and ignite creativity within STEAM.

History

Citation

Maria Mannone, Federico Favali, Balandino Di Donato & Luca Turchet (2020) Quantum GestART: identifying and applying correlations between mathematics, art, and perceptual organization, Journal of Mathematics and Music, DOI: 10.1080/17459737.2020.1726691

Version

AM (Accepted Manuscript)

Published in

Journal of Mathematics and Music

Publisher

Taylor & Francis

issn

1745-9737

Acceptance date

09/12/2019

Copyright date

2020

Available date

11/03/2020

Publisher version

https://www.tandfonline.com/doi/full/10.1080/17459737.2020.1726691

Language

en

Usage metrics

Categories

Exports