ISBN-13: 978 1 85573 492 0
pages A4 hardback
C E Horne, University of Leeds,
Woodhead Textiles Series No. 11
This book encompasses a wide range of
mathematical concepts relating to regularly repeating surface decoration from
basic principles of symmetry to more complex issues of graph theory, group
theory and topology. It presents a comprehensive means of classifying and
constructing patterns and tilings. The classification of designs is investigated
and discussed forming a broad basis upon which designers may build their own
ideas. A wide range of original illustrative material is included.
complex area previously best understood by mathematicians and crystallographers,
the author develops and applies mathematical thinking to the context of
regularly repeating surface-pattern design in a manner accessible to artists and
designers. Design construction is covered from first principles through to
methods appropriate for adaptation to large-scale screen-printing production.
The book extends mathematical thinking beyond symmetry group
classification. New ideas are developed involving motif orientation and
positioning, including reference to a crystal structure, leading on to the
classification and construction of discrete patterns and isohedral tilings.
Designed to broaden the scope of surface-pattern designers by increasing
their knowledge in otherwise impenetrable theory of geometry this 'designer
friendly' book serves as a manual for all types of surface design including
textiles, wallpapers and wrapping paper. It will also be of value to
crystallographers, mathematicians and architects.
association with The Textile Institute