Download or read book Tessellations written by Robert Fathauer and published by CRC Press. This book was released on 2020-12-07 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists. Additionally, it covers techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations. Inclusion of special topics like spiral tilings and tessellation metamorphoses allows the reader to explore beautiful and entertaining math and art. The book has a particular focus on ‘Escheresque’ designs, in which the individual tiles are recognizable real-world motifs. These are extremely popular with students and math hobbyists but are typically very challenging to execute. Techniques demonstrated in the book are aimed at making these designs more achievable. Going beyond planar designs, the book contains numerous nets of polyhedra and templates for applying Escheresque designs to them. Activities and worksheets are spread throughout the book, and examples of real-world tessellations are also provided. Key features Introduces the mathematics of tessellations, including symmetry Covers polygonal, aperiodic, and non-Euclidean tilings Contains tutorial content on designing and drawing Escheresque tessellations Highlights numerous examples of tessellations in the real world Activities for individuals or classes Filled with templates to aid in creating Escheresque tessellations Treats special topics like tiling rosettes, fractal tessellations, and decoration of tiles
Download or read book Tessellations written by Pamela Geiger Stephens and published by . This book was released on 2001-01-01 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take a journey through the history of tessellations and learn step–by–step how to create translations, rotations, and reflections. Written with students and teachers in mind, this picture book provides clearly illustrated demonstrations that can be used for independent study or as a teacher resource. Grades 4 and up. 40 pages, paperback.
Download or read book Symmetry and Tessellations written by Jill Britton and published by . This book was released on 2000 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry & tessellations: investigating patterns. Grades 5-8.
Download or read book MATHEMATICS FOR ELEMENTARY TEACHERS PRODUCT ID 23864410 written by MICHELLE. MANES and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Number Shape Symmetry written by Diane L. Herrmann and published by CRC Press. This book was released on 2012-10-18 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.
Download or read book Origami Tessellations written by Eric Gjerde and published by CRC Press. This book was released on 2008-12-18 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eric Gjerde demonstrates 25 of his favorite tessellations and turns them into projects for newcomers as well as experienced origamists. With step-by-step instructions, illustrated crease patterns, and how-to photos, you'll learn to create these wonderful designs yourself. Eric's first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. An extensive gallery showcases tessellations folded by the world's leading origami fine artists---inspiring you to experiment, innovate, and eventually create your own unique designs.
Download or read book Introduction to Tessellations written by Dale Seymour and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes explorations of tesselations in Islamic art and in the compositions of M.C. Escher.
Download or read book The Symmetries of Things written by John H. Conway and published by CRC Press. This book was released on 2016-04-05 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.
Download or read book Designing Tessellations written by Jinny Beyer and published by McGraw-Hill. This book was released on 1999 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jinny Beyer deftly interweaves inspiration and technique to create a guide to tessellations, amazing motifs, that interlock perfectly to flow across a surface. Learn the mystery of how complex designs are achieved and how thousands of patterns are possible by manipulating the simplest of shapes.
Download or read book Twists Tilings and Tessellations written by Robert J. Lang and published by CRC Press. This book was released on 2017-12-22 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Creating Symmetry written by Frank A. Farris and published by Princeton University Press. This book was released on 2015-06-02 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: A step-by-step illustrated introduction to the astounding mathematics of symmetry This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics. Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple curve, whose curious symmetry seems unexplained by its formula. Farris describes how complex numbers unlock the mystery, and how they lead to the next steps on an engaging path to constructing waveforms. He explains how to devise waveforms for each of the 17 possible wallpaper types, and then guides you through a host of other fascinating topics in symmetry, such as color-reversing patterns, three-color patterns, polyhedral symmetry, and hyperbolic symmetry. Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations. As you progress through the book, you'll learn how to create breathtaking art images of your own. Fun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book.
Download or read book Designing and Drawing Tesselations written by Robert W. Fathauer and published by . This book was released on 2008 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Lifelike Tessellations Activity Book", "Regular Polygon Tessellations Activity Book", and "Polyhedra Activity Book".
Download or read book Fivefold Symmetry written by Istv n Hargittai and published by World Scientific. This book was released on 1992 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fivefold symmetry is common in flowers, fruits, molecules, logos, and buildings, but it is a forbidden symmetry in the world of crystals. A few years ago, the so-called quasicrystals were discovered displaying fivefold symmetry, and it caused a minirevolution in crystallography. There has been increased awareness of fivefold symmetry in all domains of human interest ever since. The present book brings together authors and ideas on a common theme from mathematics, the sciences, design, and anthropology to history, literature, and the arts. Its 29 chapters are an offering by scientists and humanists from 13 countries to a broad readership of professionals and laypersons about fivefold symmetry and the areas that are being bridged by this unique concept.
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
Download or read book Tessalation written by Emily Grosvenor and published by Mascot Books. This book was released on 2016-07-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Tessa Truman-Ling explores the outdoors, she sees patterns everywhere and in everything.
Download or read book Islamic Geometric Patterns written by Eric Broug and published by National Geographic Books. This book was released on 2019-03-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring new patterns with detailed explanatory texts, this revised edition is an inspirational guide for craftspeople and artists alike. The marvels of Islamic patterns—the most recognizable visual expression of Islamic art and architecture—are not just a beautiful accident. The ancient practitioners of this craft used traditional methods of measurement to create dazzling geometric compositions, often based on the repetition of a single pattern. The results are magnificent in their beauty and awe-inspiring in their execution. Now, with the aid of this book, everyone can learn how to master this ancient art and create their own intricate patterns or re-create classic examples. All that is needed is a pencil, a ruler, a compass, and a steady hand. Technical tips demonstrate the geometric basics such as how to create designs from one of the foundational “family” shapes: a square, hexagon, or pentagon. This is followed by step-by-step instructions for reproducing some of the best examples of geometric patterns. Islamic Geometric Patterns contains twenty-three geometric patterns and brief histories of some of the most famous and beautiful Islamic art and architecture from around the world. This revised edition features seven new patterns from locations including: Ak Medrese in Nigde, Turkey; Chellah necropolis in Rabat, Morocco; Shah Jahan Mosque in Thatta, Pakistan; the Tomb of I’timad-ud-Daulah in Agra, India; the Alcazar in Seville, Spain; Zaouia Moulay Idriss II in Fes, Morocco; and Darwish Pasha Mosque in Damascus, Syria.
Download or read book Regular Polygon Tessellations Activity Book written by Robert Fathauer and published by . This book was released on 2017-08-15 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains two pages of background material about tessellations, an activities example page, plus two dozen 8.5 x 11 pages of tessellations in which the individual tiles are regular polygons. There are five activities that may be performed for each page: 1. Identifying the different types of tiles in the design; 2. Identifying the unit cell for the design (the group of tiles that can be repeated to cover the plane); 3. Marking the different types of symmetry the design possesses; 4. Identifying the distinct types of vertices in the design; 5. Coloring the design.
