Search Results: mathematical-window-patterns-the-art-of-creating-translucent-designs-using-geometric-principles

Mathematical Window Patterns

The Art of Creating Translucent Designs Using Geometric Principles

Author: William Gibbs

Publisher: Tarquin Publications

ISBN: 9781899618316

Category: Crafts & Hobbies

Page: 36

View: 4854

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.

Abstract Design and How to Create It

Author: Amor Fenn

Publisher: Courier Corporation

ISBN: 0486139840

Category: Art

Page: 224

View: 7337

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.

A Beginner's Guide to Constructing the Universe

The Mathematical Archetypes of Nature, Art, and Science

Author: Michael S. Schneider

Publisher: Harper Collins

ISBN: 0062043161

Category: Science

Page: 384

View: 3523

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.

Geometry of Design

Studies in Proportion and Composition

Author: Kimberly Elam

Publisher: Princeton Architectural Press

ISBN: 9781568982496

Category: Design

Page: 107

View: 9663

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.

Islamic Art and Architecture

The System of Geometric Design

Author: Tarek El-Bouri,Keith Critchlow,Salmá Samar Damlūji

Publisher: Garnet Pub Limited


Category: Architecture

Page: 135

View: 5039

Issam El-Said pinpoints the rules of composition that form the basis of the geometric concepts of Islamic art. He then shows how intricate patterns are based on these basic principles. Fully illustrated in three colors to show the development of the patterns, this book offers an insight into how craftsmen and designers in the Muslim world achieved monumental feats of artistic expression using the simplest of tools. Chapter I presents graphical analyses of numerous complex patterns, to reveal the numerical rationale behind them. In Chapter II, the author analyses the system of measure used in ancient Egypt, before the use of numbers for calculating measurements. He shows how measuring cords and a geometric method based on a grid-pattern originating from the circle were employed by master craftsmen in the design of Islamic art and architecture. The book offers an insight into how craftsmen and designers in the Muslim world have achieved monumental feats of artistic expression with harmony and precision, using the simplest of tools such as a ruler, a string and templates, together with a system of measure that is both simple and sophisticated.

Twists, Tilings, and Tessellations

Mathematical Methods for Geometric Origami

Author: Robert J. Lang

Publisher: CRC Press

ISBN: 148226241X

Category: Mathematics

Page: 756

View: 6530

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.

Geometric Patterns from Islamic Art & Architecture

Author: Robert Field

Publisher: Tarquin Publications

ISBN: 9781899618224

Category: Architecture

Page: 64

View: 4642

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: 7634

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)

The Geometry of Musical Rhythm

What Makes a "Good" Rhythm Good?

Author: Godfried T. Toussaint

Publisher: CRC Press

ISBN: 1466512032

Category: Mathematics

Page: 365

View: 1775

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.

Pattern Design

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


Category: Decoration and ornament

Page: 267

View: 9998

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

Drawing Geometry

A Primer of Basic Forms for Artists, Designers and Architects

Author: N.A

Publisher: N.A

ISBN: 9780863156083

Category: Architecture

Page: 87

View: 3258

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

Mosaic and Tessellated Patterns

How to Create Them, with 32 Plates to Color

Author: John Willson

Publisher: Courier Corporation

ISBN: 0486136337

Category: Art

Page: 64

View: 3061

An expert "op art" designer explains what tessellated patterns are and how they are formed, relates the history of tessellated designs from their beginnings in Rome. 179 line drawings. 32 full-page plates.

Genuine Japanese Origami

34 Mathematical Models Based Upon ?2

Author: Jun Maekawa,Koshiro Hatori

Publisher: Courier Corporation

ISBN: 0486483355

Category: Crafts & Hobbies

Page: 128

View: 5738

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.

Euclid—The Creation of Mathematics

Author: Benno Artmann

Publisher: Springer Science & Business Media

ISBN: 1461214122

Category: Mathematics

Page: 349

View: 417

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 Golden Ratio

The Divine Beauty of Mathematics

Author: Gary B. Meisner

Publisher: Race Point Publishing

ISBN: 076036026X

Category: Mathematics

Page: 224

View: 9688

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.

Origami Design Secrets

Mathematical Methods for an Ancient Art, Second Edition

Author: Robert J. Lang

Publisher: CRC Press

ISBN: 1568814364

Category: Mathematics

Page: 770

View: 7663

The magnum opus of one of the world’s leading origami artists, the second edition of Origami Design Secrets reveals the underlying concepts of origami and how to create original origami designs. Containing step-by-step instructions for 26 models, this book is not just an origami cookbook or list of instructions—it introduces the fundamental building blocks of origami, building up to advanced methods such as the combination of uniaxial bases, the circle/river method, and tree theory. With corrections and improved illustrations, this new expanded edition also covers uniaxial box pleating, introduces the new design technique of hex pleating, and describes methods of generalizing polygon packing to arbitrary angles. With coverage spanning the foundations of origami construction and advanced methods using both paper and pencil and custom-built free software, Origami Design Secrets helps readers cultivate the intuition and skills necessary to develop their own designs. It takes them beyond merely following a recipe to crafting a work of art.

The Illustrated Carpenter and Builder

Author: N.A

Publisher: N.A


Category: Building trades

Page: N.A

View: 8809

The Building News and Engineering Journal

Author: N.A

Publisher: N.A


Category: Architecture

Page: N.A

View: 7634

Fearless Symmetry

Exposing the Hidden Patterns of Numbers (New Edition)

Author: Avner Ash,Robert Gross

Publisher: Princeton University Press

ISBN: 0691138710

Category: Mathematics

Page: 312

View: 2552

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.

Divine Patterns of Sacred Geometry Coloring Book

For Intuitive Connection & Mindful Relaxation

Author: Deborah Delisi

Publisher: Kanakolu Press

ISBN: 9780692659700


Page: 70

View: 8695

Sacred Geometry is an ancient tool for discovering the creation and order of all things, through which our ancestors pondered the arrangement of our world and universe. By combining mathematics, science and intuitive awareness, they formed beliefs about the world around them. The language of mathematics, then and now, has a quality that expresses relationships in order to reveal the structure and orderly principles of the world around us. These relationships often manifest as patterns that allow us to discover the nature and power of the force that makes all things. These 33 divinely beautiful patterns to speak to your "inner realm," the sacred place inside. Let the ancient forms guide your meditation and awareness. Relax and enjoy coloring each page as you unlock the ancient wisdom of Sacred Geometry. Learn what the ones who came before us knew. Each page reveals fascinating written information and rich illustrations that journeys out to the cosmos and back to the microcosm deep within. You'll learn as you color and de-stress.

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