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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.
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
Includes explorations of tesselations in Islamic art and in the compositions of M.C. Escher.
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.
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.
As old as ancient Rome, tessellated patterns can be seen in many places today: in Victor Vasarely's black-and-white paintings, in the designs of Ensor Holiday and M. C. Escher, in Spirograph drawings, and even in computer. John Willson, a research chemist, artist, and teacher, has been creating these dazzling "op art" designs for years. Now, he brings his special expertise to this unusual coloring book. Here you'll find complete information on tessellations and their creation, including: • Definition of a tessellation • History of tessellated designs, beginning with their origin in Rome • Basic kinds of tessellations and how they are formed • Detailed instructions for creating your own unique designs from common geometrical shapes A full 179 figures illustrate the clearly written text. Also included is a special section of 32 full-page plates of tessellations, ready to be colored any way you wish. This is your best introduction to an unusual and rewarding pastime that will afford you many hours of creative satisfaction.
Polyhedra allow geometric shapes in the plane to become solids in our three-dimensional world. Tessellations in which individual tiles are lifelike motifs are a fun combination of art and mathematics. Designing and Building Tessellated Polyhedra brings these two fascinating topics together a for hands-on learning experience rich in math content. Nets for 24 different polyhedra, including all of the Platonic and Archimedean solids, are presented both with and without tessellations applied to them. This allows polyhedra to be built with ready-made designs that can be colored if desired, or printed in beautiful color using the included CD. Another option is building undecorated polyhedra that have the names and key properties printed on them. Yet another possibility is to use templates to design new tessellations that can be applied to the polyhedra. The book also contains background on polyhedra and templates for tessellated cones, cylinders, and Msbius strips. For classroom use, ten activities with worksheets, designed to address ten different specific Common Core State Standards for Mathematics are included as well. Ages 12-17
More than 30 hypnotic designs form delightful distractions for dedicated colorists. The full-page patterns feature stars, geometric motifs, and other interlocking shapes that create eye-popping optical illusions and three-dimensional effects. Pages are perforated and printed on one side only for easy removal and display. Specially designed for experienced colorists, Tessellation Patterns and other Creative Haven® adult coloring books offer an escape to a world of inspiration and artistic fulfillment. Each title is also an effective and fun-filled way to relax and reduce stress.
"Lifelike Tessellations Activity Book", "Regular Polygon Tessellations Activity Book", and "Polyhedra Activity Book".
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