Repeating Patterns
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How to Make Repeat Patterns
Author: Paul Jackson
language: en
Publisher: Laurence King Publishing
Release Date: 2018-04-10
This book explains, in simple steps and non-mathematical terminology, how to create repeat patterns in a line, on the plane, as tiles, and as Escher-like repeats. The book also shows how to make 'wallpaper repeats', where the elements of the pattern merge into each other, apparently seamlessly. Using letters as the basic elements, the book demonstrates how all repeat pattern-making comes out of four simple operations: translation, rotation, reflection, and glide reflection. It will provide the definitive one-stop pattern-making resource for professional designers and students across disciplines, from textiles and fashion to graphic design and architecture.
Pattern in the Teaching and Learning of Mathematics
This highly illustrated book draws together the wide variety of studies in the learning of mathematics undertaken by the Pattern in Mathematics Research Group at the University of Leeds. Their purpose has been '... to provide structure and support to ... studies of children's perception, conception and use of pattern in learning mathematics'. Set up in 1992, they have embraced work across the whole curriculum, and through all the years of compulsory schooling. As each chapter of this book relates to a different study that was undertaken, the reader can dip in and select relevant material. At the same time, the editor has ensured continuity and progression, allowing the book to be approached as a whole: the early chapters are concerned with very young children; subsequent chapters deal with the primary and middle age ranges, and later ones relate to secondary school work. With individual chapters relating to number, algebra, shape, graphic relations and probability, this new volume provides guidance for teachers of pupils of all age groups. Patterns in mathematics are of immense importance; this book relates pattern to the teaching of mathematics through all years of school. Practical and original, it is closely tied to the National Curriculum. It is a source of new ideas for mathematic teachers at all levels.
Repeat Patterns
Technology, the authors present their findings with a brilliant simplicity that can be followed by everyone. They explain the construction principles of each pattern type, as well as the effects of gradation, scale, texture and optical illusions. French Art Deco, Neolithic vase decoration, Celtic stone cross carving, North American Indian beadwork, medieval Italian silk, Persian manuscript illuminations, Chinese cloisonne - the structures of these and many other patterns.