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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

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          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.

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          Most cited references 12

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          Is Creativity a 'natural' process?

           D Everitt,  R Ascott,  M Girão (2011)
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            Twinned Magic Vessels of Order 8 and The Five Faces of Jaenisch

             M Kepner (20172020)
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              Dihedral Group D4

               E. W. Weisstein (20202020)

                Author and article information

                July 2020
                July 2020
                : 217-224
                Institute of Creative Technologies

                De Montfort University

                The Gateway

                Leicester LE1 9BH, UK
                © Everitt et al. Published by BCS Learning and 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 and Development Ltd
                Self URI (journal page): https://ewic.bcs.org/
                Electronic Workshops in Computing


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