Permuting Heaven and Earth: Painted Expressions of Burnside’s Theorem

Year: 2004 Authors: James Mai; Daylene Zielinski

Core claim

Burnside’s Theorem can predict the number of visually distinct forms in permutational art systems, even though it does not determine their appearance.

Topics

permutations, Burnside’s Theorem, abstract painting, visual metaphor

Domains

group actions, combinatorics, symmetry counting, painting, color composition, non-objective art, visual metaphor

Methods

diagramming, permutational analysis, counting distinct figures, comparative visual interpretation

Media

acrylic on canvas, graph paper sketches, hexagonal and circular diagrams

Source status

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