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Visualisation, navigation and mathematical perception: a visual notation for rational numbers mod1

Tolmie, Julie


There are three main results in this dissertation. The first result is the construction of an abstract visual space for rational numbers mod1, based on the visual primitives, colour, and rational radial direction. Mathematics is performed in this visual notation by defining increasingly refined visual objects from these primitives. In particular, the existence of the Farey tree enumeration of rational numbers mod1 is identified in the texture of a two-dimensional animation. ¶ The second result...[Show more]

CollectionsOpen Access Theses
Date published: 2011-03-01
Type: Thesis (PhD)


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01front.pdffront pages91.93 kBAdobe PDFThumbnail
02whole.pdfwhole thesis53.03 kBAdobe PDFThumbnail

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