B.G. Thomas, University of Leeds, UK
This chapter presents a range of geometric concepts associated with the analysis and construction of patterns and tilings according to their constituent symmetry characteristics. A comprehensive review traces the theoretical developments and cross-fertilisation of ideas between the arts, science and mathematics; from conceptual origins in x-ray crystallography to one of the most practical applications of symmetry – the classification and construction of regularly repeating patterns and tilings. Following certain geometrical rules, a system by which regularly repeating patterns can be created is discussed and illustrated. ...
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