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The Geometry of Regular Repeating Patterns

The Geometry of Regular Repeating Patterns
Author: M. A. Hann
Publisher: North Carolina State University
Total Pages: 62
Release: 1992-01-01
Genre: Art
ISBN: 9781870812436

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The Basics of Crystallography and Diffraction

The Basics of Crystallography and Diffraction
Author: Christopher Hammond
Publisher: Oxford University Press
Total Pages: 538
Release: 2015
Genre: Crystallography
ISBN: 0198738676

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This book provides a clear and very broadly based introduction to crystallography, light, X-ray and electron diffraction - a knowledge which is essential to students in a wide range of scientific disciplines but which is otherwise generally covered in subject-specific and more mathematicallydetailed texts. The text is also designed to appeal to the more general reader since it shows, by historical and biographical references, how the subject has developed from the work and insights of successive generations of crystallographers and scientists.The book shows how an understanding of crystal structures, both inorganic and organic may be built up from simple ideas of atomic and molecular packing. Beginning with (two dimensional) examples of patterns and tilings, the concepts of lattices, symmetry point and space groups are developed."Penrose" tilings and quasiperiodic structures are also included. The reciprocal lattice and its importance in understanding the geometry of light, X-ray and electron diffraction patterns is explained in simple terms, leading to Fourier analysis in diffraction, crystal structure determination, imageformation and the diffraction-limited resolution in these techniques. Practical X-ray and electron diffraction techniques and their applications are described. A recurring theme is the common principles: the techniques are not treated in isolation.The fourth edition has been revised throughout, and includes new sections on Fourier analysis, Patterson maps, direct methods, charge flipping, group theory in crystallography, and a new chapter on the description of physical properties of crystals by tensors (Chapter 14).


Structure and Form in Design

Structure and Form in Design
Author: Michael Hann
Publisher: A&C Black
Total Pages: 217
Release: 2013-08-01
Genre: Technology & Engineering
ISBN: 0857854658

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This book provides a critical examination of structure and form in design, covering a range of topics of great value to students and practitioners engaged in any of the specialist decorative arts and design disciplines. The complexities of two-dimensional phenomena are explained and illustrated in detail, while various three-dimensional forms are also discussed. In the context of the decorative arts and design, structure is the underlying framework, and form the resultant, visible, two- or three-dimensional outcome of the creative process. Whether hidden or visually detectable in the final design, structure invariably determines whether or not a design is successful in terms of both its aesthetics and its practical performance. Hann successfully identifies various geometric concepts, and presents and discusses a number of simple guidelines to assist the creative endeavours of both accomplished and student practitioners, teachers and researchers.


Geometric Symmetry in Patterns and Tilings

Geometric Symmetry in Patterns and Tilings
Author: C.E. Horne
Publisher: CRC Press
Total Pages: 224
Release: 2000-11-07
Genre: Mathematics
ISBN: 9780849310485

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This book explores a wide range of mathematical concepts relating to regularly repeating surface decoration and provides a comprehensive means of classifying patterns and tilings. It covers issues from basic concepts of symmetry to more complex issues such as graph theory, group theory, and topology. The author elaborately illustrates the concepts, thereby rendering this complex area-previously best understood by mathematicians and crystallographers-accessible to artists and designers. Although it focuses principally on the characteristics of surface-pattern designs, the material addresses all types of surface designs, including textiles, wallpapers, and building and wrapping materials. This book is an extremely valuable guide for textile designers, artists, designers, architects, and anyone interested in the geometric aspects and applications of surface designs, patterns, and tilings.


Oxford Handbook of Cognitive Archaeology

Oxford Handbook of Cognitive Archaeology
Author: Distinguished Professor of Anthropology Thomas Wynn
Publisher: Oxford University Press
Total Pages: 1329
Release: 2024-03-27
Genre: Psychology
ISBN: 0192895958

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This book showcases the theories, methods, and accomplishments of archaeologists who investigate the human mind through material forms. It encompasses the wide spectrum of cognitive archeology, showcasing contributions from scholars globally. It delivers analysis of material culture, from stone tools to ceramic and rock art of the past millennium.


Handbook of Regular Patterns

Handbook of Regular Patterns
Author: Peter S. Stevens
Publisher: MIT Press (MA)
Total Pages: 400
Release: 1981
Genre: Design
ISBN: 9780262690881

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Examines the structural anatomy of patterns, shows how reflections, rotations, and translations create symmetrical patterns, and shows examples from textiles, pottery, mosaics, natural forms, and Escher prints


Tessellations

Tessellations
Author: Robert Fathauer
Publisher: CRC Press
Total Pages: 443
Release: 2020-12-07
Genre: Mathematics
ISBN: 0429589239

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Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists. Additionally, it covers techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations. Inclusion of special topics like spiral tilings and tessellation metamorphoses allows the reader to explore beautiful and entertaining math and art. The book has a particular focus on ‘Escheresque’ designs, in which the individual tiles are recognizable real-world motifs. These are extremely popular with students and math hobbyists but are typically very challenging to execute. Techniques demonstrated in the book are aimed at making these designs more achievable. Going beyond planar designs, the book contains numerous nets of polyhedra and templates for applying Escheresque designs to them. Activities and worksheets are spread throughout the book, and examples of real-world tessellations are also provided. Key features Introduces the mathematics of tessellations, including symmetry Covers polygonal, aperiodic, and non-Euclidean tilings Contains tutorial content on designing and drawing Escheresque tessellations Highlights numerous examples of tessellations in the real world Activities for individuals or classes Filled with templates to aid in creating Escheresque tessellations Treats special topics like tiling rosettes, fractal tessellations, and decoration of tiles


Geometry I

Geometry I
Author: Marcel Berger
Publisher: Springer Science & Business Media
Total Pages: 446
Release: 2009-01-17
Genre: Mathematics
ISBN: 354093815X

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Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.