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      Creative Visualisation of Magic Squares



      Proceedings of EVA London 2020 (EVA 2020)

      AI and the Arts: Artificial Imagination

      6th July – 9th July 2020

      magic squares, digital art, data visualisation, recreational mathematics, scalable vector graphics, web technologies



            Magic squares are n*n square grids in which each row, column, and diagonal add to the same sum. The ‘magic line’, drawn by connecting each integer in numerical sequence, creates a pattern that can differ or be shared between instances. The dual purpose of this work is: 1. to produce a variety of artworks—printed, digital and animated that use the magic line as a departure point; and 2. to investigate mathematical processes (matrix transformations) that produce identical magic line patterns, with the aim of identifying all unique such patterns, and simplifying the classification of magic squares, using visual and programmatic methods. The ongoing creative process has led us to produce a web-based visualisation tool (squares.cubelife.org), with which we have explored different types of mathematical curve to visualise the magic line, and to identify certain useful groups. This can already produce an extensive variety of interesting aesthetic results that differ from existing ‘straight line’ visualisations of magic squares. As well as exploring the creative visual permutations, our methods also enable the measurement of certain properties, such as the length of the magic line and the results of certain transformations.


            Author and article information

            July 2020
            July 2020
            : 217-224
            [0001]Institute of Creative Technologies

            De Montfort University

            The Gateway

            Leicester LE1 9BH, UK
            © Everitt et al. Published by BCS Learning & Development Ltd. Proceedings of EVA London 2020

            This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

            Proceedings of EVA London 2020
            EVA 2020
            6th July – 9th July 2020
            Electronic Workshops in Computing (eWiC)
            AI and the Arts: Artificial Imagination
            Product Information: 1477-9358BCS Learning & Development
            Self URI (journal page): https://ewic.bcs.org/
            Electronic Workshops in Computing


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