The Fundamentals of Pattern Structure: Part II: The Counter-change Challenge

REFERENCES

• Belov , N. V. and Tarkhova , T. N. 1964 . Dichromatic Plane Groups, in Coloured Symmetry , Edited by: Shubnikov , A. V. and Belova , N. V. New York : Pergamon Press .
   Google Scholar
• Christie, A.H., 1910. Traditional Methods of Pattern Designing. Clarendon Press Oxford, and as Pattern Design. An Introduction to the Study of Formal Ornament, 1969. Dover, New York.
   Google Scholar
• Crowe , D. W. 1971 . The Geometry of African Art. Part 1: Bakuba Art . Journal of Geometry , 1 : 169 – 182 .
   Web of Science ®Google Scholar
• Crowe , D. W. 1975 . The Geometry of African Art. Part 2: A Catalogue of Benin Patterns . Historia Mathematica , 2 : 253 – 271 .
   Google Scholar
• Crowe , D. W. 1982 . “ The Geometry of African Art. Part 3: The Smoking Pipes of Begho ” . In The Geometric Vein: The Coxeter Festschrift , Edited by: Davis , C. , Grunbaum , B. and Sherk , F. A. 177 – 189 . New York : Springer .
   Google Scholar
• Gombrich , E. H. 1979 . The Sense of Order. A Study of the Psychology of Decorative Arts , London : Phaidon .
   Google Scholar
• Grunbaum , B. and Shephard , G. C. 1987 . Tilings and Patterns , New York : Freeman .
   Google Scholar
• Lockwood , E. M. and Macmillan , R. H. 1978 . Geometric Symmetry , London : Cambridge University Press .
   Google Scholar
• Loeb , A. L. 1971 . Colour and Symmetry , New York : Wiley-Interscience .
   Google Scholar
• Schattschneider , D. 1978 . The Plane Symmetry Groups: Their Recognition and Notation . American Mathematical Monthly , 85 ( 6 ) : 439 – 450 .
   Web of Science ®Google Scholar
• Schattschneider , D. 1986 . In Black and White: How to Create Perfectly Colored Symmetric Patterns . Comp. & Maths. with Appls , 12B ( 3/4 ) : 673 – 695 .
   Web of Science ®Google Scholar
• Schattschneider , D. 1990 . Visions of Symmetry. Notebooks, Periodic Drawings and Related Works of M.C. Escher , New York : Freeman .
   Google Scholar
• Schwarzenberger , R. L.E. 1984 . The Seventeen Plane Symmetry Groups . The Mathematical Gazette , 58 : 123 – 131 . 1974
   Google Scholar
• Senechal , M. 1979 . Colour Groups . Discrete Applied Mathematics , 1 : 51 – 73 .
   Web of Science ®Google Scholar
• Washburn , D. K. and Crowe , D. W. 1988 . Symmetries of Culture: Theory and Practice of Plane Pattern Analysis , Seattle : University of Washington press .
   Google Scholar
• Wieting , T. W. 1982 . The Mathematical Theory of Chromatic Plane Ornaments , New York : Marcel Dekker .
   Google Scholar
• Woods , H. J. 1935a . The Geometrical Basis of Pattern Design. Part 1: Point and Line Symmetry in Simple Figures and Borders . Journal of the Textile Institute. Transactions , 26 : T197 – T210 .
   Google Scholar
• Woods , H. J. 1935b . The Geometrical Basis of Pattern Design, Part 2: Nets and Sateens . Journal of the Textile Institute. Transactions , 26 : T293 – T308 .
   Google Scholar
• Woods , H. J. 1935c . The Geometrical Basis of Pattern Design, Part 3: Geometrical Symmetry in Plane Patterns . Journal of the Textile Institute. Transactions , 26 : T341 – T357 .
   Google Scholar
• Woods , H. J. 1936 . The Geometrical Basis of Pattern Design, Part 4: Counterchange Symmetry in Plane Patterns. . Journal of the Textile Institute. Transactions , 27 : T305 – T320 .
   Google Scholar