Tessellations

Author : Robert Fathauer
Publisher : CRC Press
Page : 443 pages
File Size : 44,9 Mb
Release : 2020-12-07
Category : Mathematics
ISBN : 9780429589232

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Tessellations by Robert Fathauer Pdf

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

Author : Eric Gjerde
Publisher : CRC Press
Page : 256 pages
File Size : 42,5 Mb
Release : 2008-12-18
Category : Mathematics
ISBN : 9781000713152

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Origami Tessellations by Eric Gjerde Pdf

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.

Author : Emily Grosvenor
Publisher : Mascot Books
Page : 0 pages
File Size : 42,8 Mb
Release : 2016-07-31
Category : Pattern perception
ISBN : 1631777971

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Tessalation! by Emily Grosvenor Pdf

As Tessa Truman-Ling explores the outdoors, she sees patterns everywhere and in everything.

Author : Atsuyuki Okabe,Barry Boots,Kokichi Sugihara,Sung Nok Chiu
Publisher : John Wiley & Sons
Page : 696 pages
File Size : 43,5 Mb
Release : 2009-09-25
Category : Mathematics
ISBN : 9780470317853

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Spatial Tessellations by Atsuyuki Okabe,Barry Boots,Kokichi Sugihara,Sung Nok Chiu Pdf

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.

Author : Robert J. Lang
Publisher : CRC Press
Page : 603 pages
File Size : 51,6 Mb
Release : 2017-12-22
Category : Mathematics
ISBN : 9781482262414

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Twists, Tilings, and Tessellations by Robert J. Lang Pdf

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.

Author : Wendy Conklin
Publisher : Teacher Created Materials
Page : 4 pages
File Size : 50,6 Mb
Release : 2014-02-01
Category : Electronic
ISBN : 9781425878535

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Open-Ended Tasks--Tessellations by Wendy Conklin Pdf

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.

Author : Werner Van Hoeydonck,Christian Kern,Eva Sommeregger
Publisher : Birkhäuser
Page : 304 pages
File Size : 43,8 Mb
Release : 2022-03-07
Category : Architecture
ISBN : 9783035625189

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Space Tessellations by Werner Van Hoeydonck,Christian Kern,Eva Sommeregger Pdf

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.

Author : Jesper Moller
Publisher : Springer Science & Business Media
Page : 144 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461226529

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Lectures on Random Voronoi Tessellations by Jesper Moller Pdf

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.

Author : José María Montesinos-Amilibia
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642615726

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Classical Tessellations and Three-Manifolds by José María Montesinos-Amilibia Pdf

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.

Author : Yohei Yamamoto,Jun Mitani
Publisher : CRC Press
Page : 124 pages
File Size : 52,9 Mb
Release : 2023-11-09
Category : Crafts & Hobbies
ISBN : 9781000997002

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Design Techniques for Origami Tessellations by Yohei Yamamoto,Jun Mitani Pdf

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.

Author : Anders Hanson/Elissa Mann
Publisher : ABDO
Page : 34 pages
File Size : 54,8 Mb
Release : 2014-09-01
Category : Juvenile Nonfiction
ISBN : 9781617838262

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Cool Tessellations: Creative Activities that Make Math & Science Fun for Kids! by Anders Hanson/Elissa Mann Pdf

Discover secret math and science tricks to creating art! This title introduces young readers to the sciences, with a creative twist. Math and science educational pages are interspersed with cool tessellation activities that offer practical applications of the information students learn in class. All activities include how-to photos, easy instructions, and clear explanations. Reinforce Common Core Standards in reading, math, and science, while making cool art projects, from translational symmetry to Archimedean solids. Aligned to Common Core Standards and correlated to state standards. Checkerboard Library is an imprint of ABDO Publishing Company.

Author : A. P Wiltshire
Publisher : LLoyd-Sier Publishing
Page : 52 pages
File Size : 40,9 Mb
Release : 2004-07
Category : Electronic
ISBN : 9780954749989

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Square Dot Tessellations by A. P Wiltshire Pdf

Author : Dale Seymour,Jill Britton
Publisher : Unknown
Page : 0 pages
File Size : 45,9 Mb
Release : 1989
Category : Geometrical drawing
ISBN : 0866514619

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Introduction to Tessellations by Dale Seymour,Jill Britton Pdf

Includes explorations of tesselations in Islamic art and in the compositions of M.C. Escher.

Author : Jinny Beyer
Publisher : McGraw-Hill
Page : 264 pages
File Size : 47,5 Mb
Release : 1999
Category : Patchwork
ISBN : UCSD:31822027918796

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Designing Tessellations by Jinny Beyer Pdf

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.

Author : Sharon Morrisette
Publisher : Charlesbridge Publishing
Page : 36 pages
File Size : 43,8 Mb
Release : 2012-07-01
Category : Juvenile Nonfiction
ISBN : 9781580893541

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Toads and Tessellations by Sharon Morrisette Pdf

Enzo is the son of a great magician, however unlike his father, his spells create chaos instead of order. What really interests Enzo, more than books about magic, are books by and about the lives of famous physicists and astronomers like Galileo Galilei and Johannes Kepler. Enzo dreams not of becoming a magician, but a mathematician instead. When Tessel, the village shoemaker, is called upon to make twelve identical shoes out of only one piece of leather, Aida, the shoemaker’s sister, goes to Enzo’s father for some magic to help her brother. With Enzo’s father out of town at a magic convention, it’s up to Enzo to help Aida and Tessel out of their predicament. A spell snafu leads Enzo and Aida to a method of forming patterns without gaps or overlaps, and they discover that math, not magic, may be the answer to their problem. Sharon Morisette’s accessible text introduces readers to the concept of tessellations, while Philomena O’Neill’s illustrations offer a clear visual to what tiling is—children will enjoy finding the tessellations hidden throughout the images. Back matter includes a glossary and notes about tessellations, Galileo, and Kepler.