Abstract
The intuitive properties of configurations of planar non-overlapping closed curves (boundaries) are presented as a pure boundary mathematics. The mathematics, which is not incorporated in any existing formalism, is constructed from first principles, that is, from empty space. When formulated as patternequations, boundary algebras map to elementary logic and to integer arithmetic.
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Bricken, W. (2006). The Mathematics of Boundaries: A Beginning. In: Barker-Plummer, D., Cox, R., Swoboda, N. (eds) Diagrammatic Representation and Inference. Diagrams 2006. Lecture Notes in Computer Science(), vol 4045. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11783183_8
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DOI: https://doi.org/10.1007/11783183_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35623-3
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