To Infinity and Beyond

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691178119
Total Pages : 308 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis To Infinity and Beyond by : Eli Maor

Download or read book To Infinity and Beyond written by Eli Maor and published by Princeton University Press. This book was released on 2017-11-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind, from the "horror infiniti" of the Greeks to the works of M.C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity, a fascination mingled with puzzlement. "Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M.C. Escher, six of whose works are shown here in beautiful color plates."--Los Angeles Times "[Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama." Choice "Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics."-Science.

Symmetry Discovered

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Publisher : Courier Corporation
ISBN 13 : 9780486294339
Total Pages : 180 pages
Book Rating : 4.2/5 (943 download)

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Book Synopsis Symmetry Discovered by : Joe Rosen

Download or read book Symmetry Discovered written by Joe Rosen and published by Courier Corporation. This book was released on 1998-01-01 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry provides an insight into the way nature works and is often used by scientists and technologists to help solve problems. Symmetry has numerous other applications as well — with more being discovered all the time in science, the arts and other fields of human endeavor. This classic work provides an excellent introduction to the basic concepts and terminology (including, optionally, group theory), as well as lucid discussions of geometric symmetry, other symmetries and appropriate symmetry, symmetry in nature, uses of symmetry in science and much more. Readers wishing to pursue specific topics will find many references that reflect the author's wide reading in the subject and his own obvious enthusiasm. For this edition, Dr. Rosen has provided a new preface, solutions to the problems, and an addendum to the bibliography.

Handbook of Regular Patterns

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (874 download)

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Book Synopsis Handbook of Regular Patterns by : Peter Smith Stevens

Download or read book Handbook of Regular Patterns written by Peter Smith Stevens and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetry

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Author :
Publisher : Elsevier
ISBN 13 : 1483149528
Total Pages : 1068 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Symmetry by : István Hargittai

Download or read book Symmetry written by István Hargittai and published by Elsevier. This book was released on 2014-05-23 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series in Modern Applied Mathematics and Computer Science, Volume 10: Symmetry: Unifying Human Understanding provides a tremendous scope of "symmetry, covering subjects from fractals through court dances to crystallography and literature. This book discusses the limits of perfection, symmetry as an aesthetic factor, extension of the Neumann-Minnigerode-Curie principle, and symmetry of point imperfections in solids. The symmetry rules for chemical reactions, matching and symmetry of graphs, mosaic patterns of H. J. Woods, and bilateral symmetry in insects are also elaborated. This text likewise covers the crystallographic patterns, Milton's mathematical symbol of theodicy, symmetries of soap films, and gapon formalism. This volume is a good source for researchers and specialists concerned with symmetry.

Symbol, Pattern and Symmetry

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Author :
Publisher : A&C Black
ISBN 13 : 0857854909
Total Pages : 585 pages
Book Rating : 4.8/5 (578 download)

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Book Synopsis Symbol, Pattern and Symmetry by : Michael Hann

Download or read book Symbol, Pattern and Symmetry written by Michael Hann and published by A&C Black. This book was released on 2013-11-21 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Patterns

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Author :
Publisher : Routledge
ISBN 13 : 1351977253
Total Pages : 443 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Patterns by : M.A Hann

Download or read book Patterns written by M.A Hann and published by Routledge. This book was released on 2018-10-10 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Patterns: Design and Composition, M. A. Hann and I. S. Moxon present guidelines for the original design and composition of regular patterns alongside an understanding of the inherent structures of these patterns. Starting with the compositional elements, Hann and Moxon take the reader through patterns in the environment, early forms of patterns and aspects of classification based on circles, squares, triangles and symmetry. With 250 images sourced from past examples as well as student work, this essential read for design students and researchers demonstrates how simplicity begets complexity in the design and composition of regular patterns.

Symmetry

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Publisher : C&T Publishing Inc
ISBN 13 : 1571205144
Total Pages : 147 pages
Book Rating : 4.5/5 (712 download)

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Book Synopsis Symmetry by : Ruth B. McDowell

Download or read book Symmetry written by Ruth B. McDowell and published by C&T Publishing Inc. This book was released on 1994-01-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Ruth guides the quiltmaker in exploring and developing truly original designs. She presents 17 new quilts based upon the 17 pattern concepts, and she leads the reader through the fun of applying the concepts to the creation of new quilts. Her students have often called this process the most useful design workshop they have ever taken. For the beginning designer, she presents the possibilities inherent in very simple asymmetric block designs. Each chapter presents a new block design and a new concept, illustrated by a quilt shown in color, with templates, yardage chart, and directions. Each of the new blocks can be used in other symmetries to produce new patterns. And each of the concepts can be applied to thousands of other blocks.

Handbook of Regular Patterns

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Author :
Publisher : MIT Press (MA)
ISBN 13 : 9780262690881
Total Pages : 400 pages
Book Rating : 4.6/5 (98 download)

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Book Synopsis Handbook of Regular Patterns by : Peter S. Stevens

Download or read book Handbook of Regular Patterns written by Peter S. Stevens and published by MIT Press (MA). This book was released on 1981 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Handbook of regular patterns

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Author :
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.:/5 (641 download)

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Book Synopsis Handbook of regular patterns by : Peter S. Stevens

Download or read book Handbook of regular patterns written by Peter S. Stevens and published by . This book was released on 1980 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry Transformed: Euclidean Plane Geometry Based on Rigid Motions

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470463075
Total Pages : 258 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Geometry Transformed: Euclidean Plane Geometry Based on Rigid Motions by : James R. King

Download or read book Geometry Transformed: Euclidean Plane Geometry Based on Rigid Motions written by James R. King and published by American Mathematical Soc.. This book was released on 2021-04-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many paths lead into Euclidean plane geometry. Geometry Transformed offers an expeditious yet rigorous route using axioms based on rigid motions and dilations. Since transformations are available at the outset, interesting theorems can be proved sooner; and proofs can be connected to visual and tactile intuition about symmetry and motion. The reader thus gains valuable experience thinking with transformations, a skill that may be useful in other math courses or applications. For students interested in teaching mathematics at the secondary school level, this approach is particularly useful since geometry in the Common Core State Standards is based on rigid motions. The only prerequisite for this book is a basic understanding of functions. Some previous experience with proofs may be helpful, but students can also learn about proofs by experiencing them in this book—in a context where they can draw and experiment. The eleven chapters are organized in a flexible way to suit a variety of curriculum goals. In addition to a geometrical core that includes finite symmetry groups, there are additional topics on circles and on crystallographic and frieze groups, and a final chapter on affine and Cartesian coordinates. The exercises are a mixture of routine problems, experiments, and proofs.

Structure and Form in Design

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Author :
Publisher : A&C Black
ISBN 13 : 1472584317
Total Pages : 217 pages
Book Rating : 4.4/5 (725 download)

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Book Synopsis Structure and Form in Design by : Michael Hann

Download or read book Structure and Form in Design written by Michael Hann and published by A&C Black. This book was released on 2014-02-13 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Manual of Mineral Science

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Publisher : John Wiley & Sons
ISBN 13 : 0471721573
Total Pages : 726 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Manual of Mineral Science by : Cornelis Klein

Download or read book Manual of Mineral Science written by Cornelis Klein and published by John Wiley & Sons. This book was released on 2007-02-20 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1848, authored by J.D. Dana, the Manual of Mineral Science now enters its 23rd edition. This new edition continues in the footsteps or its predecessors as the standard textbook in Mineralogy/Mineral Science/Earth Materials/Rocks and Minerals courses. This new edition contains 22 chapters, instead of 14 as in the prior edition. This is the result of having packaged coherent subject matter into smaller, more easily accessible units. Each chapter has a new and expanded introductory statement, which gives the user a quick overview of what is to come. Just before these introductions, each chapter features a new illustration that highlights some aspect of the subject in that particular chapter. All such changes make the text more readable, user-friendly and searchable. Many of the first 14 chapters are reasonably independent of each other, allowing for great flexibility in an instructor's preferred subject sequence. The majority of illustrations in this edition were re-rendered and/or redesigned and many new photographs, mainly of mineral specimens, were added. NEW Thoroughly Revised Lab Manual ISBN13: 978-0-471-77277-4 Also published by John Wiley & Sons, the thoroughly updated Laboratory Manual: Minerals and Rocks: Exercises in Crystal and Mineral Chemistry, Crystallography, X-ray Powder Diffraction, Mineral and Rock Identification, and Ore Mineralogy, 3e, is for use in the mineralogy laboratory and covers the subject matter in the same sequence as the Manual of Mineral Science, 23e.

Symmetries of Culture

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Publisher : Courier Dover Publications
ISBN 13 : 0486842320
Total Pages : 323 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Symmetries of Culture by : Dorothy K. Washburn

Download or read book Symmetries of Culture written by Dorothy K. Washburn and published by Courier Dover Publications. This book was released on 2021-02-17 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking collaboration between an anthropologist and a mathematician constitutes both a collection of symmetrical pattern designs from many cultures and a monograph on pattern design and the classification of symmetrical patterns. Intended for art historians, anthropologists, classical archaeologists, and others interested in the study of material culture, it can also serve as a reference and inspiration for the use of symmetrical patterns in art and design. "This richly illustrated study brings to light dozens of intriguing examples of symmetrical designs, for instance, in a Zulu loincloth, a Japanese chopstick case, a New England quilt, a Tibetan 'Plaque of a Thousand Lamas,' a Hawaiian water gourd. The same pattern found in a fantastical drawing of lizards by M. C. Escher is echoed in a Fijian basket lid and an Egyptian wall mosaic." — Publishers Weekly "This extremely useful guide to classifying plane pattern designs … is extensively illustrated with carvings, textiles, baskets, tiles, and poetry, which are used as examples of various symmetry patterns." — American Anthropologist "An impressive book—both in terms of its physical appearance and its content ... will undoubtedly become the major reference on the analysis of patterns in terms of symmetry properties." — Antiquity

Geometry Labs

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Author :
Publisher : Henri Picciotto
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4./5 ( download)

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Book Synopsis Geometry Labs by : Henri Picciotto

Download or read book Geometry Labs written by Henri Picciotto and published by Henri Picciotto. This book was released on 1999 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry Labs is a book of hands-on activities that use manipulatives to teach important ideas in geometry. These 78 activities have enough depth to provide excellent opportunities for discussion and reflection in both middle school and high school classrooms.

The Artful Universe Expanded

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Publisher : OUP Oxford
ISBN 13 : 0191615838
Total Pages : 591 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis The Artful Universe Expanded by : John Barrow

Download or read book The Artful Universe Expanded written by John Barrow and published by OUP Oxford. This book was released on 2011-03-10 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: In The Artful Universe (OUP, 1995) John D. Barrow explored the close ties between our aesthetic appreciation and the basic nature of the Universe, challenging the commonly held view that our sense of beauty is entirely free and unfettered. It looked at some of the unexpected ways in which the structure of the Universe, its laws, its environments, and above all its underlying mathematical structure imprints itself on our thoughts, our aesthetic preferences, and our views about the nature of things. The exploration embraced topics such as perspective; the size of things and the origins of aesthetics; computer art (posing the question: is it art?); and the origins of our susceptibility to music. Life sales of the hardback totalled just over 25,000 copies. The study of the evolutionary and mathematical underpinnings of our aesthetic sense, and our understanding of the nature and scale of the universe has grown over the past decade, with developments in evolutionary psychology, and in cosmology. This paperback of the revised edition (OUP, 2005) contains eight new sections covering the recent discoveries of extrasolar planets, fashionable postmodernist rejection of science as uncovering objective reality, growing understanding of key ratios appearing in biological relationships, and studies of the underlying mathematical structure of a Pollock painting.

Handbook of Applicable Mathematics: pt. A-B. Combinatorics and geometry

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Author :
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Handbook of Applicable Mathematics: pt. A-B. Combinatorics and geometry by :

Download or read book Handbook of Applicable Mathematics: pt. A-B. Combinatorics and geometry written by and published by . This book was released on 1985 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. Algebra. v.2. Probability. v.3. Numerical methods. v.4. Analysis. v.5, pt. A-B. Combinatorics and geometry, edited by Walter Ledermann and Steven Vajda. v .6., pt. A-B. Statistics, edited by Emlyn Lloyd. [v.7.]. Supplement, edited by Walter Ledermann ... [et al.]. [v.8.]. Contents and general index.

Handbook of Applicable Mathematics, Combinatorics and Geometry

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Author :
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Handbook of Applicable Mathematics, Combinatorics and Geometry by : Walter Ledermann

Download or read book Handbook of Applicable Mathematics, Combinatorics and Geometry written by Walter Ledermann and published by . This book was released on 1985-05-13 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: