0000000000672354

AUTHOR

Luca Turchet

0000-0003-0711-8098

showing 2 related works from this author

Shall We (Math and) Dance?

2019

Can we use mathematics, and in particular the abstract branch of category theory, to describe some basics of dance, and to highlight structural similarities between music and dance? We first summarize recent studies between mathematics and dance, and between music and categories. Then, we extend this formalism and diagrammatic thinking style to dance.

Settore INF/01 - InformaticaDanceFormalism (philosophy)2-categories; Dance; MusicSettore MAT/04 - Matematiche ComplementariGeneralLiterature_MISCELLANEOUSStyle (sociolinguistics)DanceSettore MAT/02 - AlgebraDiagrammatic reasoningGeneral Mathematics (math.GM)ComputerApplications_MISCELLANEOUSFOS: MathematicsMathematics educationCategory theoryMathematics - General MathematicsMusic2-categories
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Quantum GestART: Identifying and Applying Correlations between Mathematics, Art, and Perceptual Organization

2020

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 con…

FOS: Computer and information sciencesdiagrams; Dirac notation; Gestalt; Gestural similarity; sonificationmedia_common.quotation_subjectHistory and Overview (math.HO)ComputerApplications_COMPUTERSINOTHERSYSTEMSThe artsGestaltBra–ket notationPerceptionGestural similarityFOS: MathematicssonificationQuantummedia_commonCognitive scienceSettore INF/01 - InformaticaMathematics - History and OverviewApplied MathematicsSettore MAT/04 - Matematiche ComplementariMultimedia (cs.MM)Gestural similarity Gestalt diagrams Dirac notation sonificationComputational MathematicsdiagramsSonificationModeling and SimulationGestalt psychologyDirac notationInformationSystems_MISCELLANEOUSSettore ING-INF/05 - Sistemi di Elaborazione delle InformazioniComputer Science - MultimediaMusic
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