Tessellations

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 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 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 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 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 Toads and Tessellations written by Sharon Morrisette and published by Charlesbridge Publishing. This book was released on 2012-07-01 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.