The application of the principles of symmetry to the synthesis of multi-coloured counterchange patterns

Attention is focused on the theoretical principles governing the underlying geometry of motifs, border patterns and all-over patterns. The systematic classification and construction of two-dimensional periodic patterns and tilings is introduced, with particular relerence to two-colour and higher colour counterchange possibilities. An identification is made of the geometrical restraints encountered when introducing systematic interchange of colour. A wide ranging series of original patterns and tilings is constructed and fully illustrated; these designs have been printed in fabric form and are presented in the accompanying exhibition.