The Art of Creating Translucent Designs Using Geometric Principles

• Author: William Gibbs
• Publisher: Tarquin Publications
• ISBN: 9781899618316
• Category: Crafts & Hobbies
• Page: 36
• View: 1035

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A collection of patterns using overlapping regular shapes, which when made using coloured paper and placed over a window, allow light to filter through the layers revealing an attractive and colourful pattern. Full descriptions and plans are included.

• Author: Amor Fenn
• Publisher: Courier Corporation
• ISBN: 0486139840
• Category: Art
• Page: 224
• View: 2571

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Profusely illustrated guide covers geometric basis of design, implements and their use, borders, textile patterns, nature study, and treatment. Over 380 illustrations include historical examples from many cultures and periods.

The Mathematical Archetypes of Nature, Art, and Science

• Author: Michael S. Schneider
• Publisher: Harper Collins
• ISBN: 0062043161
• Category: Science
• Page: 384
• View: 8964

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The Universe May Be a Mystery, But It's No Secret Michael Schneider leads us on a spectacular, lavishly illustrated journey along the numbers one through ten to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you: Why cans, pizza, and manhole covers are round. Why one and two weren't considered numbers by the ancient Greeks. Why squares show up so often in goddess art and board games. What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies. How the human body shares the design of a bean plant and the solar system. How a snowflake is like Stonehenge, and a beehive like a calendar. How our ten fingers hold the secrets of both a lobster and a cathedral. And much more.

Studies in Proportion and Composition

• Author: Kimberly Elam
• Publisher: Princeton Architectural Press
• ISBN: 9781568982496
• Category: Design
• Page: 107
• View: 9514

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This work takes a close look at a broad range of 20th-century examples of design, architecture and illustration, revealing underlying geometric structures in their compositions.

Mathematical Methods for Geometric Origami

• Author: Robert J. Lang
• Publisher: CRC Press
• ISBN: 148226241X
• Category: Mathematics
• Page: 756
• View: 4099

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Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

• Author: Robert Field
• Publisher: Tarquin Publications
• ISBN: 9781899618224
• Category: Architecture
• Page: 64
• View: 4610

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The original inspiration for this book came from visits to the buildings of Moorish Spain, in particular those of Grenada, Cordoba and Seville. This striking introduction to Islamic design was followed by journeys to the traditional sites of the Middle East and North Africa and then finally to the newer mosques of Britain.Everywhere there was a wealth of pattern and inventiveness to marvel at. The sense of wonder increases still further when, on starting to draw the patterns, the simplicity of the grids from which they were developed is discovered.This book, with its combination of drawings and photographs will stimulate a thorough investigation and interest in the wonderful geometric patterns and buildings of Islam.

Mathematical Perspective and Fractal Geometry in Art

• Author: Marc Frantz,Annalisa Crannell
• Publisher: Princeton University Press
• ISBN: 9781400839056
• Category: Mathematics
• Page: 248
• View: 5916

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An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)

A Primer of Basic Forms for Artists, Designers and Architects

• Author: N.A
• Publisher: N.A
• ISBN: 9780863156083
• Category: Architecture
• Page: 87
• View: 9460

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A professional guide to drawing two-dimensional geometric shapes in simple step-by-step instructions.

What Makes a "Good" Rhythm Good?

• Author: Godfried T. Toussaint
• Publisher: CRC Press
• ISBN: 1466512032
• Category: Mathematics
• Page: 365
• View: 5813

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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.

A Book for Students Treating in a Practical Way of the Anatomy, Planning & Evolution of Repeated Ornament

• Author: Lewis Foreman Day
• Publisher: Taplinger Publishing Company
• ISBN: N.A
• Category: Decoration and ornament
• Page: 267
• View: 8864

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Master techniques for using pattern in wide range of design applications including architectural, textiles, print, more. Wealth of technical information. Over 270 design illustrations.

34 Mathematical Models Based Upon ?2

• Author: Jun Maekawa,Koshiro Hatori
• Publisher: Courier Corporation
• ISBN: 0486483355
• Category: Crafts & Hobbies
• Page: 128
• View: 3979

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Unique and wildly creative, this mathematical and geometricapproach to origami contains 40 models of cubes, towers, andgeometric shapes as well as puzzles and models of everyday items— all folded from rectangular paper. This is the first publicationoutside Japan of these original figures, offering intermediate leveland serious origamists an intriguingblend of art and science.Dover (2012) English translation andnew selection of models from GenuineOrigami Ã2, Japan Publications TradingCo. Ltd., Japan, 2009.

• Author: Benno Artmann
• Publisher: Springer Science & Business Media
• ISBN: 1461214122
• Category: Mathematics
• Page: 349
• View: 2958

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Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.

The Divine Beauty of Mathematics

• Author: Gary B. Meisner
• Publisher: Race Point Publishing
• ISBN: 076036026X
• Category: Mathematics
• Page: 224
• View: 7591

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The Golden Ratio examines the presence of this divine number in art and architecture throughout history, as well as its ubiquity among plants, animals, and even the cosmos. This gorgeous book—with layflat dimensions that closely approximate the golden ratio—features clear, enlightening, and entertaining commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. This book invites you to take a new look at this timeless topic, with a compilation of research and information worthy of a text book, accompanied by over 200 beautiful color illustrations that transform this into the ultimate coffee table book. Author Gary Meisner shares the results of his twenty-year investigation and collaboration with thousands of people across the globe in dozens of professions and walks of life. The evidence will close the gaps of understanding related to many claims of the golden ratio’s appearances and applications, and present new findings to take our knowledge further yet. Whoever you are, and whatever you may know about this topic, you’ll find something new, interesting, and informative in this book, and may find yourself challenged to see, apply, and share this unique number of mathematics and science in new ways.

Exposing the Hidden Patterns of Numbers (New Edition)

• Author: Avner Ash,Robert Gross
• Publisher: Princeton University Press
• ISBN: 0691138710
• Category: Mathematics
• Page: 312
• View: 3994

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Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them. Hidden symmetries were first discovered nearly two hundred years ago by French mathematician évariste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination. The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.

• Author: N.A
• Publisher: N.A
• ISBN: N.A
• Category: Building trades
• Page: N.A
• View: 1874

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• Author: N.A
• Publisher: N.A
• ISBN: N.A
• Category: Architecture
• Page: N.A
• View: 6082

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Learning to Design in Geometric Harmony with Art, Architecture, and Nature

• Author: Rachel Fletcher
• Publisher: George F Thompson
• ISBN: 9781938086021
• Category: Architecture
• Page: 399
• View: 3118

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The desire for harmony is universal among all cultures. In "Infinite Measure," we rediscover a fundamental starting point for designers of all ages: the simple act of drawing with a compass and a rule can sensitize the designer to the rich subtleties of spatial harmony, no matter how one ultimately chooses to express it.

Mathematical Methods for an Ancient Art

• Author: Robert J. Lang
• Publisher: CRC Press
• ISBN: 1568817002
• Category: Mathematics
• Page: 594
• View: 2067

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Robert J. Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at the centuries-old art of origami.

• Author: N.A
• Publisher: N.A
• ISBN: N.A
• Category: Architecture
• Page: N.A
• View: 4285

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• Author: Eli Maor,Eugen Jost
• Publisher: Princeton University Press
• ISBN: 1400848334
• Category: Mathematics
• Page: 208
• View: 4739

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If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.