Tessellations
Tessellations

Author: Robert Fathauer

Publisher: CRC Press

Published: 2020-12-07

Total Pages: 450

ISBN-13: 0429589239

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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

Introduction to Tessellations
Introduction to Tessellations

Author: Dale Seymour

Publisher:

Published: 1989

Total Pages: 0

ISBN-13: 9780866514613

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

Tessalation!
Tessalation!

Author: Emily Grosvenor

Publisher: Mascot Books

Published: 2016-07-31

Total Pages: 0

ISBN-13: 9781631777974

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

Origami Tessellations
Origami Tessellations

Author: Eric Gjerde

Publisher: CRC Press

Published: 2008-12-18

Total Pages: 256

ISBN-13: 1000713156

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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.

Designing Tessellations
Designing Tessellations

Author: Jinny Beyer

Publisher: McGraw-Hill

Published: 1999

Total Pages: 264

ISBN-13:

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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.

Lectures on Random Voronoi Tessellations
Lectures on Random Voronoi Tessellations

Author: Jesper Moller

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 144

ISBN-13: 146122652X

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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.

Toads and Tessellations
Toads and Tessellations

Author: Sharon Morrisette

Publisher: Charlesbridge Publishing

Published: 2012-07-01

Total Pages: 36

ISBN-13: 1580893546

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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.

Creative Haven Tessellation Patterns Coloring Book
Creative Haven Tessellation Patterns Coloring Book

Author: John Wik

Publisher: Courier Corporation

Published: 2013-08-21

Total Pages: 68

ISBN-13: 048649165X

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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.

Twists, Tilings, and Tessellations
Twists, Tilings, and Tessellations

Author: Robert J. Lang

Publisher: CRC Press

Published: 2017-12-22

Total Pages: 716

ISBN-13: 148226241X

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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.