Visualizing large-order groups with computer-generated Cayley tables

Large-order finite groups have been made the subject of artwork through abstract computer-generated pictures corresponding to Cayley tables which have been presented in some recent mathematical art exhibits and galleries. In our present article, we further explore the concept of using computer art t...

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Bibliographic Details
Published inJournal of mathematics and the arts Vol. 11; no. 2; pp. 67 - 99
Main Author Campbell, J. M.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.04.2017
Taylor & Francis Ltd
Subjects
Algorithms
Art exhibits
CAD
Cayley table
Computer aided design
computer art
Data imaging
Data visualization
Group theory
mathematical art
Mathematics
Pedagogy
pedagogy in mathematics
Pictures
symmetry
Tables
Visualization
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ISSN1751-3472
1751-3480
DOI10.1080/17513472.2017.1318511

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Summary:Large-order finite groups have been made the subject of artwork through abstract computer-generated pictures corresponding to Cayley tables which have been presented in some recent mathematical art exhibits and galleries. In our present article, we further explore the concept of using computer art to visualize large-order groups, by offering some new computer-generated large-scale coloured Cayley tables. We present artistic depictions of basic group-theoretic concepts, and we also discuss some potential pedagogical benefits of computer-generated artwork based on large-scale Cayley tables. We also consider some open questions concerning group theory and pedagogy in mathematics.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1751-3472
1751-3480
DOI:10.1080/17513472.2017.1318511