Designing Tessellations
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Designing Tessellations
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Author : Jinny Beyer
language : en
Publisher: McGraw-Hill
Release Date : 1999
Designing Tessellations written by Jinny Beyer and has been published by McGraw-Hill this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Patchwork categories.
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.
Designing And Drawing Tesselations
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Author : Robert W. Fathauer
language : en
Publisher:
Release Date : 2008
Designing And Drawing Tesselations written by Robert W. Fathauer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics in art categories.
"Lifelike Tessellations Activity Book", "Regular Polygon Tessellations Activity Book", and "Polyhedra Activity Book".
Tessellations
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Author : Robert Fathauer
language : en
Publisher: CRC Press
Release Date : 2020-12-07
Tessellations written by Robert Fathauer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-07 with Mathematics categories.
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
Six Simple Twists
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Author : Benjamin DiLeonardo-Parker
language : en
Publisher: CRC Press
Release Date : 2020-08-27
Six Simple Twists written by Benjamin DiLeonardo-Parker and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-27 with Mathematics categories.
This new edition of Six Simple Twists: The Pleat Pattern Approach to Origami Tessellation Design introduces an innovative pleat pattern technique for origami designs that is easily accessible to anyone who enjoys the geometry of paper. The book begins with six basic forms meant to ease the reader into the style, and then systematically scaffolds the instructions to build a strong understanding of the techniques, leading to instructions on a limitless number of patterns. It then describes a process of designing additional building blocks. At the end, what emerges is a fascinating artform that will enrich folders for many years. Unlike standard, project-based origami books, Six Simple Twists focuses on how to design, rather than construct. In this thoroughly updated second edition, the book explores new techniques and example tessellations, with full-page images, and mathematical analysis of the patterns. A reader will, through practice, gain the ability to create still more complex and fascinating designs. Key Features Introduces the reader to origami tessellations and demonstrates their place in the origami community New layout and instructional approach restructure the book from the ground up Addresses common tessellation questions, such as what types of paper are best to use, and how this artform rose in popularity Teaches the reader how to grid a sheet of paper and the importance of the pre-creases Gives the reader the ability to create and understand tessellations through scaffolded instruction Includes exercises to test understanding Introduces a new notation system for precisely describing pleat intersections Analyzes pleat intersections mathematically using geometrically-focused models, including information about Brocard points
Designing And Building Tessellated Polyhedra
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Author : Robert Fathauer
language : en
Publisher: Tessellations
Release Date : 2017-08
Designing And Building Tessellated Polyhedra written by Robert Fathauer and has been published by Tessellations this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08 with Juvenile Nonfiction categories.
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
Design Techniques For Origami Tessellations
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Author : Yohei Yamamoto
language : en
Publisher: CRC Press
Release Date : 2023-11-09
Design Techniques For Origami Tessellations written by Yohei Yamamoto and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-09 with Crafts & Hobbies categories.
Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual to design them. This book begins by explaining general design methods, the history and definitions of origami tessellations, and the geometric features of flat origami, before moving on to introduce a brand-new design method: the "twist-based design method." This method generates base parts that connect "twist patterns” (that can be folded with a twist) without using a lattice. Therefore, it can generate base parts such as regular pentagons, which cannot be generated with more conventional methods, and can generate new origami tessellations connected to them. Features: No proofs or formulas in the text and minimal jargon. Suitable for readers with a roughly middle school to high school level of mathematical background. Web application implementing the method described in this book is available, allowing the readers to design their own patterns.
Lifelike Tessellations Activity Book
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Author : Robert Fathauer
language : en
Publisher:
Release Date : 2017-08
Lifelike Tessellations Activity Book written by Robert Fathauer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08 with Form (Aesthetics) categories.
This book contains two pages of background material about tessellations, an activities example page, plus two dozen 8.5 x 11 pages of original Escher-like designs. 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. Drawing the geometric grid on which the design is based; 5. Coloring the design.
Origami Tessellations
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Author : Eric Gjerde
language : en
Publisher: CRC Press
Release Date : 2008-12-18
Origami Tessellations written by Eric Gjerde and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-18 with Mathematics categories.
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.
Tessellations
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Author : Stanley J. Bezuszka
language : en
Publisher:
Release Date : 1977
Tessellations written by Stanley J. Bezuszka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Art in mathematics education categories.
Provides an innovative means of continuing learning experiences in geometry, particularly reflections, translations and rotations of one or more figures.
Nexus Network Journal 9 2
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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-18
Nexus Network Journal 9 2 written by and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-18 with Mathematics categories.
This issue is dedicated to Mechanics in Architecture. It explores the latest findings in the science of structural mechanics, including the behavior of structures, internal forces, and deformation. It also explores the development of new structural systems designed to resist thrusts resulting from new architectural forms. Some of the papers published in this issue were presented at the Nexus 2006 during a special session dedicated to mechanics.