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Robert Fathauer

Tessellations: Mathematics, Art, and Recreation

Tessellations: Mathematics, Art, and Recreation

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  • More about Tessellations: Mathematics, Art, and Recreation


Tessellations: Mathematics, Art, and Recreation is a book that provides a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists. It covers techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations, with a particular focus on 'Escheresque designs. The book includes numerous nets of polyhedra and templates for applying Escheresque designs to them, as well as activities and worksheets. It also highlights numerous examples of tessellations in the real world and treats special topics like tiling rosettes, fractal tessellations, and decoration of tiles.

Format: Paperback / softback
Length: 464 pages
Publication date: 21 October 2020
Publisher: Taylor & Francis Ltd


Tessellations: Mathematics, Art, and Recreation is a comprehensive guide designed to introduce the world of tessellations (tiling) to non-specialists in an accessible and engaging manner. This book goes beyond mere exploration and delves into various techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations. By incorporating special topics such as spiral tilings and tessellation metamorphoses, readers are invited to embark on a captivating journey into the beauty of mathematics and art.

The book's primary focus lies in 'Escheresque designs,' where individual tiles are recognizable real-world motifs. These designs have gained immense popularity among students and math hobbyists but often present significant challenges to execute. The techniques demonstrated in Tessellations: Mathematics, Art, and Recreation aim to make these intricate designs more achievable for readers.

Beyond planar designs, the book explores numerous nets of polyhedra and templates that allow readers to apply Escheresque designs to them. This expansion of the scope offers a deeper understanding of tessellations and their potential applications.

Throughout the book, activities and worksheets are thoughtfully integrated to reinforce the learning experience. Examples of real-world tessellations are also provided, showcasing the versatility and aesthetic appeal of these mathematical creations.

Key features of Tessellations: Mathematics, Art, and Recreation include:

Introduces the mathematics of tessellations, covering topics such as symmetry, polygonal, aperiodic, and non-Euclidean tilings.
Offers tutorial content on designing and drawing Escheresque tessellations, providing step-by-step guidance for creating intricate and recognizable designs.
Highlights numerous examples of tessellations in the real world, showcasing their applications in architecture, art, and everyday objects.
Includes activities for individuals or classes, fostering a hands-on and interactive approach to learning.
Fills the book with templates that assist in creating Escheresque tessellations, making the process of designing and constructing these intricate patterns more efficient.
Treats special topics like tiling rosettes, fractal tessellations, and the decoration of tiles, expanding the reader's knowledge and creativity.

With its comprehensive coverage, engaging content, and practical tools, Tessellations: Mathematics, Art, and Recreation is an invaluable resource for anyone interested in exploring the world of tessellations. Whether you are a student, a math enthusiast, or simply a seeker of beauty and creativity, this book will inspire and empower you to unlock the endless possibilities of mathematical art.

Weight: 1214g
Dimension: 205 x 252 x 35 (mm)
ISBN-13: 9780367185961

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