Author : Dale Seymour
Publisher :
Page : 0 pages
File Size : 44,49 MB
Release : 1989
Category : Geometrical drawing
ISBN : 9780866514613
Includes explorations of tesselations in Islamic art and in the compositions of M.C. Escher.
Author : Robert Fathauer
Publisher : CRC Press
Page : 443 pages
File Size : 32,21 MB
Release : 2020-12-07
Category : Mathematics
ISBN : 0429589239
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 : Jesper Moller
Publisher : Springer Science & Business Media
Page : 144 pages
File Size : 45,5 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 146122652X
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 : Eric Gjerde
Publisher : CRC Press
Page : 256 pages
File Size : 38,44 MB
Release : 2008-12-18
Category : Mathematics
ISBN : 1000713156
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 : José María Montesinos-Amilibia
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 40,43 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642615724
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 : Emily Grosvenor
Publisher : Mascot Books
Page : 0 pages
File Size : 25,97 MB
Release : 2016-07-31
Category : Pattern perception
ISBN : 9781631777974
As Tessa Truman-Ling explores the outdoors, she sees patterns everywhere and in everything.
Author : Pamela Geiger Stephens
Publisher :
Page : 40 pages
File Size : 22,50 MB
Release : 2001-01-01
Category : Design
ISBN : 9781562902438
Take a journey through the history of tessellations and learn step–by–step how to create translations, rotations, and reflections. Written with students and teachers in mind, this picture book provides clearly illustrated demonstrations that can be used for independent study or as a teacher resource. Grades 4 and up. 40 pages, paperback.
Author : Robert J. Lang
Publisher : CRC Press
Page : 716 pages
File Size : 38,28 MB
Release : 2017-12-22
Category : Mathematics
ISBN : 148226241X
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 : Denise Gaskins
Publisher : Tabletop Academy Press
Page : 288 pages
File Size : 27,19 MB
Release : 2012-09-04
Category : Education
ISBN : 1892083248
Author : Atsuyuki Okabe
Publisher : John Wiley & Sons
Page : 696 pages
File Size : 17,50 MB
Release : 2009-09-25
Category : Mathematics
ISBN : 047031785X
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.
