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Meditation on an Engraving of Fricke and Klein (The Modular Group and Geometrical Chemistry)

Hyde, Stephen; Larsson, Ann-Kristin; Di Matteo, Tiziana; Ramsden, Stuart; Robins, Vanessa


A non-technical account of the links between two-dimensional (2D) hyperbolic and three-dimensional (3D) euclidean symmetric patterns is presented, with a number of examples from both spaces. A simple working hypothesis is used throughout the survey: simple, highly symmetric patterns traced in hyperbolic space lead to chemically relevant structures in euclidean space. The prime examples in the former space are derived from Felix Klein's engraving of the modular group structure within the...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Australian Journal of Chemistry
DOI: 10.1071/CH03191


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