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IgnoTheory: A Compositional System for Intermedia Art Based on Tiling Patterns and Labelled Graphs

In: Complex Symmetries

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  • Paul Hertz

    (School of the Art Institute of Chicago, Independent artist and curator, instructor (retired) in the Department of Film, Video, New Media and Animation and the Department of Art History, Theory and Criticism)

Abstract

In this essay, I discuss the rule-based tiling patterns and graphs that I use for algorithmic art and music composition, with particular attention to the symmetries between spatial and temporal concepts of order. The tiling patterns can be regarded as 2D maps which are transformed into graphs with vertices labelled with pitch class names from the Western diatonic musical system. Vertices can also be marked with parameters derived from colouring rules and other combinatorial procedures. Traversal of the graphs can generate material for musical composition and performance. Rotations and reflections of the tiling patterns correspond to transpositions, reorderings and inversions of musical material. Algorithmic operations on visual representations can be mapped onto musical representations and vice versa. Since 1980, the compositional system has been used to generate musical, visual, and theatrical artworks, including an internationally exhibited virtual world (Fools Paradise, 2018).

Suggested Citation

  • Paul Hertz, 2021. "IgnoTheory: A Compositional System for Intermedia Art Based on Tiling Patterns and Labelled Graphs," Springer Books, in: György Darvas (ed.), Complex Symmetries, pages 17-34, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-88059-0_3
    DOI: 10.1007/978-3-030-88059-0_3
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