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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: Hardback
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 takes a particular focus on 'Escheresque designs,' in which individual tiles are recognizable real-world motifs. These designs are not only visually appealing but also notoriously challenging to execute. However, the techniques demonstrated in this book aim to make these designs more achievable for students and math hobbyists alike.

Beyond planar designs, the book explores numerous nets of polyhedra and templates for applying Escheresque designs to them. This expansion of the scope allows readers to delve into more intricate and intricate tessellation patterns.

Throughout the book, activities and worksheets are scattered, providing hands-on opportunities for readers to practice and apply the concepts learned. Additionally, examples of real-world tessellations are provided to showcase the practical applications of tessellations in various fields.

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.

Provides tutorial content on designing and drawing Escheresque tessellations, guiding readers through the process step-by-step.

Highlights numerous examples of tessellations in the real world, showcasing their artistic and architectural significance.

Offers activities for individuals or classes, fostering a collaborative and interactive learning experience.

Includes templates to aid in creating Escheresque tessellations, simplifying the process and enabling readers to experiment with different designs.

Treats special topics like tiling rosettes, fractal tessellations, and the decoration of tiles, expanding the horizons of tessellation exploration.

Whether you are a student, a math enthusiast, or simply someone who appreciates the beauty of patterns and shapes, Tessellations: Mathematics, Art, and Recreation is a must-read for anyone seeking to delve into the world of tessellations and unlock their creative potential.

Weight: 1214g
Dimension: 206 x 253 x 28 (mm)
ISBN-13: 9780367185978

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