Symbol, Pattern and Symmetry: The Cultural Significance of Structure investigates how pattern and symbol has functioned in visual arts, exploring how connections and comparisons in geometrical pattern can be made across different cultures and how the significance of these designs has influenced craft throughout history. The book features illustrative examples of symbol and pattern from a wide range of historical and cultural contexts, from Byzantine, Persian and Assyrian design, to case studies of Japanese and Chinese patterns. Looking at each culture's specific craft style, Hann shows how the visual arts are underpinned with a strict geometric structure, and argues that understanding these underlying structures enables us to classify and compare data from across cultures and historical periods. Richly illustrated with both colour and black and white images, and with clear, original commentary, the book enables students, practitioners, teachers and researchers to explore the historical and cultural significance of symbol and pattern in craft and design, ultimately displaying how a geometrical dialogue in design can be established through history and culture.

This book covers a wide range of mathematical concepts as they are applied to regularly repeating surface decoration for textiles and other decorated materials such as wallpapers and wrappings. Starting with basic principles of symmetry it moves on to cover more complex issues of graph theory, group theory and topology. All these concepts are extensively illustrated with over 1000 original illustrations. A complex area, previously best understood by mathematicians and crystallographers, is made accessible here to artists and designers.

Simple geometric shapes and symbols combine to make the universal, powerful and sacred model Karen French calls the Gateway to the Heavens. In this book, French explains the meaning and purpose of these shapes, how they mould our reality and perception of it, and how they have a direct bearing on what you are and why you are here. These shapes and symbols contain messages that have been consistently represented in religion, philosophy, mythology, mysticism, the arts and sciences. Their messages are built into our genetic make-up and we recognise them instinctively. The book is divided up into three parts. Part 1 covers the properties of the basic geometric shapes and numbers. Part 2 describes how these in turn form layers of construction, creating principals that are fundamental to the purpose of the universe. The spiral sustains reality, the cross highlighting the central point of existence and the Heart where we weigh up our choices. Part 3 describes how we can use these principles to create positive change in our lives by helping us to expand our awareness of reality.

This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric.

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

In late prehistory, the ancestors of the present-day Hopi in Arizona created a unique and spectacular painted pottery tradition referred to as Hopi Yellow Ware. This ceramic tradition, which includes Sikyatki Polychrome pottery, inspired Hopi potter Nampeyo’s revival pottery at the turn of the twentieth century. How did such a unique and unprecedented painting style develop? The authors compiled a corpus of almost 2,000 images of Hopi Yellow Ware bowls from the Peabody Museum’s collection and other museums. Focusing their work on the exterior, glyphlike painted designs of these bowls, they found that the “glyphs” could be placed into sets and apparently acted as a kind of signature. The authors argue that part-time specialists were engaged in making this pottery and that relatively few households manufactured Hopi Yellow Ware during the more than 300 years of its production.Extending the Peabody’s influential Awatovi project of the 1930s, Symbols in Clay calls into question deep-seated assumptions about pottery production and specialization in the precontact American Southwest.

In crystal chemistry and crystal physics, the relations between the symmetry groups (space groups) of crystalline solids are of special importance. Part 1 of this book presents the necessary mathematical foundations and tools: the fundamentals of crystallography with special emphasis on symmetry, the theory of the crystallographic groups, and the formalisms of the needed crystallographic computations. Part 2 gives an insight into applications to problems in crystal chemistry. With the aid of numerous examples, it is shown how crystallographic group theory can be used to make evident relationships between crystal structures, to set up a systematic order in the huge amount of known crystal structures, to predict crystal structures, to analyse phase transitions and topotactic reactions in the solid state, to understand the formation of domains and twins in crystals, and to avoid errors in crystal structure determinations. A broad range of end-of-chapter exercises offers the possibility to apply the learned material. Worked-out solutions to the exercises can be found at the end of the book.

The aim of this book Symmetry (Group Theory) and Mathematical Treatment in Chemistry is to be a graduate school-level text about introducing recent research examples associated with symmetry (group theory) and mathematical treatment in inorganic or organic chemistry, physical chemistry or chemical physics, and theoretical chemistry. Chapters contained can be classified into mini-review, tutorial review, or original research chapters of mathematical treatment in chemistry with brief explanation of related mathematical theories. Keywords are symmetry, group theory, crystallography, solid state, topology, molecular structure, electronic state, quantum chemistry, theoretical chemistry, and DFT calculations.

New interdisciplinary research in education Given the current demands on schools and the challenges they face in an increasingly complex and volatile world, new and visionary educational paths and new educational concepts are urgently needed. Interdisciplinary collaboration within the curriculum can open up new possibilities for education. EDU:TRANSVERSAL No. 02/2024 presents transversal research findings, offers insights into innovative projects, and introduces interdisciplinary practices from schools and universities. The contributions deal with topics such as the digital image archive as a teaching and learning space for classes in art or German and the potential of memes for promoting critical Internet use in art and politics classes. Second issue of this periodical on transversal research in education State of the art of interdisciplinary research in didactics With contributions by Alessandra Bellissimo, Julia Fromm, Eva Greisberger, Maria Mogy, Gudrun Ragossnig, Eva-Maria Schitter, Birke Sturm, Petra Weixelbraun, and others

The textile industry can experience a vast array of problems. Modelling represents a group of techniques that have been widely used to explore the nature of these problems, it can highlight the mechanisms involved and lead to predictions of the textile behaviour. This book provides an overview of how textile modelling techniques can be used successfully within the textile industry for solving various problems.The first group of chapters reviews the different types of models and methods available for predicting textile structures and behaviour. Chapters include modelling of yarn, woven and nonwoven materials. The second group of chapters presents a selection of case studies, expressing the strengths and limitations and how various models are applied in specific applications. Case studies such as modelling colour properties for textiles and modelling, simulation and control of textile dyeing are discussed.With its distinguished editor and international range of contributors, Modelling and predicting textile behaviour is essential reading material for textile technologists, fibre scientists and textile engineers. It will also be beneficial for academics researching this important area. - Provides an overview of the different types of models and methods that can be used successfully within the textile industry - Reviews the structural hierarchy in textile materials fundamental to the modelling of textile fibrous structures - Assesses the strengths and weaknesses of different textile models and how specific models are applied in different situations