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Symmetry Author David Wade
ISBN-10 9780802715388
Release 2006-10-17
Pages 58
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As much of interest to mathematicians as it is to artists, as relevant to physics as to architecture, symmetry underlies almost every aspect of nature and our experience of the world. Illustrated with old engravings and original work by the author, this book moves from church windows and mirror reflections to the deepest ideas of hidden symmetries in physics and geometry, music and the arts, left- and right-handedness.

Computational Morphologies

Computational Morphologies Author Michela Rossi
ISBN-10 9783319609195
Release 2017-10-04
Pages 234
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This book represents an invaluable and up-to-date international exchange of research, case studies and best practice to tackle the challenges of digital technology, computer-aided design, 3D modeling, prototyping machines and computational design. With contributions from leading experts in the field of industrial design and cultural heritage, it is split into three parts. The first part explores basic rules of design, design models and shape grammar, including the management of complex forms, and proves that innovative concepts may be derived from organic models using generative design. The second part then investigates responsive design, describing how to manage the changing morphologies of buildings through pre-programmed mechanisms of real-time response and feedback embedded in inhabitable spaces. Lastly, the third part focuses on digital heritage and its capability to increase the interaction and manipulation of object and concepts, ranging from augmented reality to modeling generative tools. The book gathers peer-reviewed papers presented at the eCAADe (Education and Research in Computer-Aided Architectural Design in Europe) Regional International Symposium, held in Milan, Italy, in 2015.

Sacred Geometry

Sacred Geometry Author Miranda Lundy
ISBN-10 9780802713827
Release 2001-04-01
Pages 64
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A unique introduction to this most ancient and timeless of universal sciences.

Structure and Form in Design

Structure and Form in Design Author Michael Hann
ISBN-10 9781472584311
Release 2014-02-13
Pages 200
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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.

The Mayan and Other Ancient Calendars

The Mayan and Other Ancient Calendars Author Geoff Stray
ISBN-10 9780802716347
Release 2007-11-13
Pages 57
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A much-needed guide to the Mayan calendar systems and the essentials of calendar development throughout the world.


Harmonograph Author Anthony Ashton
ISBN-10 9780802714091
Release 2003-04-01
Pages 58
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Ashton presents a short, illustrated introduction to the evolution of simple harmonic theory. Illustrations.

Islamic Design

Islamic Design Author Daud Sutton
ISBN-10 9780802716354
Release 2007-11-13
Pages 58
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An exploration of the construction and meaning of Islamic geometric patterns. Throughout their long history the craft traditions of the Islamic world evolved a multitude of styles applied to a great variety of media but always with unifying factors that make them instantly recognizable. Harmony is central. There are two key aspects to the visual structure of Islamic design--calligraphy using Arabic script (one of the world's great calligraphic traditions) and abstract ornamentation using a varied but remarkably integrated visual language. Focusing on Islamic geometric patterns, simple and complex, man-made and in nature, this book offers unique insight into Islamic culture.

The Geometry of Musical Rhythm

The Geometry of Musical Rhythm Author Godfried T. Toussaint
ISBN-10 9781466512030
Release 2016-04-19
Pages 365
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The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good? is the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explains how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly disparate fields. For the music community, the book also introduces the distance approach to phylogenetic analysis and illustrates its application to the study of musical rhythm. Accessible to both academics and musicians, the text requires a minimal set of prerequisites. Emphasizing a visual geometric treatment of musical rhythm and its underlying structures, the author—an eminent computer scientist and music theory researcher—presents new symbolic geometric approaches and often compares them to existing methods. He shows how distance geometry and phylogenetic analysis can be used in comparative musicology, ethnomusicology, and evolutionary musicology research. The book also strengthens the bridge between these disciplines and mathematical music theory. Many concepts are illustrated with examples using a group of six distinguished rhythms that feature prominently in world music, including the clave son. Exploring the mathematical properties of good rhythms, this book offers an original computational geometric approach for analyzing musical rhythm and its underlying structures. With numerous figures to complement the explanations, it is suitable for a wide audience, from musicians, composers, and electronic music programmers to music theorists and psychologists to computer scientists and mathematicians. It can also be used in an undergraduate course on music technology, music and computers, or music and mathematics.

Sacred Number

Sacred Number Author
ISBN-10 9780802714565
Release 2005-07-01
Pages 64
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Beautifully illustrated with many old engravings as well as contemporary imagery, "Sacred Number" covers basic counting systems and the widespread use of 20 important numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; and how numbers affect architecture.

The Golden Section

The Golden Section Author Scott Olson
ISBN-10 9780802715395
Release 2006-10-17
Pages 58
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Tells the story of the golden section, a line segment divided into two parts such that the ratio of the short portion to the longer portion is equal to the ratio of the longer portion to the whole, and its impact on civilization and the natural world.

Ruler and Compass

Ruler and Compass Author Andrew Sutton
ISBN-10 9780802717764
Release 2009-10-27
Pages 64
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An introduction to geometry without measurements.


Symmetry Author Kristopher Tapp
ISBN-10 1461402999
Release 2011-12-02
Pages 215
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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.

A Little Book of Coincidence

A Little Book of Coincidence Author John Martineau
ISBN-10 9780802713889
Release 2002-04-01
Pages 64
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Looks at the orbital patterns of the planets and the mathematical patterns surrounding them.


Li Author David Wade
ISBN-10 9780802714107
Release 2003-04-01
Pages 64
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A short, illustrated introduction to Li, the sister science to Feng Shui, the study of naturally occurring shapes and patterns. Illustrations.


Q E D Author Burkard Polster
ISBN-10 9780802714312
Release 2004-05-01
Pages 58
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Q.E.D. presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

Celtic Pattern

Celtic Pattern Author Adam Tetlow
ISBN-10 1620402572
Release 2013-12-17
Pages 64
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Celtic art beguiles the eye and sings to the heart. It is grounded in the mystical understanding of number. In Celtic Pattern, author and artist Adam Tetlow makes accessible the complexities of this ancient tradition. He answers the myriad of questions surrounding the style: How do you draw Celtic knot work? What re the secrets of keys? What do these patterns actually mean? Who drew them? Where did they come from? In a book as beautifully designed as it is original, and full of illustrations by the author and rare engravings, Tetlow shows us the hidden principles behind the ancient magical science of Celtic artwork.


Sciencia Author Burkard Polster
ISBN-10 9780802778994
Release 2011-10-25
Pages 416
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Six titles in the acclaimed Wooden Books series appear here in one volume - a compendium of modern scientific knowledge.