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 443 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 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 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 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 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 Tessellations written by Jackie Robinson and published by . This book was released on 1992 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on Random Voronoi Tessellations written by Jesper Moller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tessellations are subdivisions of d-dimensional space into non-overlapping "cells". Voronoi tessellations are produced by first considering a set of points (known as nuclei) in d-space, and then defining cells as the set of points which are closest to each nuclei. A random Voronoi tessellation is produced by supposing that the location of each nuclei is determined by some random process. They provide models for many natural phenomena as diverse as the growth of crystals, the territories of animals, the development of regional market areas, and in subjects such as computational geometry and astrophysics. This volume provides an introduction to random Voronoi tessellations by presenting a survey of the main known results and the directions in which research is proceeding. Throughout the volume, mathematical and rigorous proofs are given making this essentially a self-contained account in which no background knowledge of the subject is assumed.
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 Classical Tessellations and Three Manifolds written by José María Montesinos-Amilibia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unusual book, richly illustrated with 29 colour illustrations and about 200 line drawings, explores the relationship between classical tessellations and three-manifolds. In his original and entertaining style, the author provides graduate students with a source of geometrical insight into low-dimensional topology. Researchers in this field will find here an account of a theory that is on the one hand known to them but here is "clothed in a different garb" and can be used as a source for seminars on low-dimensional topology, or for preparing independent study projects for students, or again as the basis of a reading course.
Download or read book Tessellations written by Stanley J. Bezuszka and published by . This book was released on 1977 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an innovative means of continuing learning experiences in geometry, particularly reflections, translations and rotations of one or more figures.
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 Creative Haven Tessellation Patterns Coloring Book written by John Wik and published by Courier Corporation. This book was released on 2013-08-21 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Open Ended Tasks Tessellations written by Wendy Conklin and published by Teacher Created Materials. This book was released on 2014-02-01 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open-ended assignment offers diverse options for all types of learners to show what they've learned. Written specifically for mathematics teachers, this lesson helps facilitate the understanding and process of writing open-ended task lessons.
Download or read book Design Techniques for Origami Tessellations written by Yohei Yamamoto and published by CRC Press. This book was released on 2023-11-09 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Space Tessellations written by Werner Van Hoeydonck and published by Birkhäuser. This book was released on 2022-03-07 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tackling a topic that has particular appeal in the age of digital design, this well-founded introduction to the subject of parquet deformation fills a gap. These subtle, intricate geometric transformations, best known through the "Metamorphosis" series by M. C. Escher, were introduced to design curricula by American professor William S. Huff in the 1960s. The book brings together scholarly articles by the most important authors in the field and material collected in the archives of the Ulm School of Design in Germany, juxtaposed with extensive illustrations of two- and three-dimensional works created at the Vienna University of Technology. Written for anyone interested in the fields of design and geometry, this book aims to inform and inspire.
Download or read book Poisson Hyperplane Tessellations written by Daniel Hug and published by Springer Nature. This book was released on with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spatial Tessellations written by Atsuyuki Okabe and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial data analysis is a fast growing area and Voronoi diagrams provide a means of naturally partitioning space into subregions to facilitate spatial data manipulation, modelling of spatial structures, pattern recognition and locational optimization. With such versatility, the Voronoi diagram and its relative, the Delaunay triangulation, provide valuable tools for the analysis of spatial data. This is a rapidly growing research area and in this fully updated second edition the authors provide an up-to-date and comprehensive unification of all the previous literature on the subject of Voronoi diagrams. Features: * Expands on the highly acclaimed first edition * Provides an up-to-date and comprehensive survey of the existing literature on Voronoi diagrams * Includes a useful compendium of applications * Contains an extensive bibliography A wide range of applications is discussed, enabling this book to serve as an important reference volume on this topic. The text will appeal to students and researchers studying spatial data in a number of areas, in particular, applied probability, computational geometry, and Geographic Information Science (GIS). This book will appeal equally to those whose interests in Voronoi diagrams are theoretical, practical or both.
