Tessellations Mathematics Art and Recreation 1st Edition by Robert 0429589239 9780429589232

Tessellations Mathematics Art and Recreation 1st Edition Robert W. Fathauer – Ebook Instant Download/Delivery ISBN(s): 0429589239,  9780429589232

Product details:

• ISBN 10:  0429589239
• ISBN 13:  9780429589232
• Author: Robert 

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

Table of contents:

1 Introduction to Tessellations

2 Geometric Tessellations

3 Symmetry and Transformations in Tessellations

4 Tessellations in Nature

5 Decorative and Utilitarian Tessellations

6 Polyforms and Reptiles

7 Rosettes and Spirals

8 Matching Rules, Aperiodic Tiles, and Substitution Tilings

9 Fractal Tiles and Fractal Tilings

10 Non-Euclidean Tessellations

11 Tips on Designing and Drawing Escheresque Tessellations

12 Special Techniques to Solve Design Problems

13 Escheresque Tessellations Based on Squares

14 Escheresque Tessellations Based on Isosceles Right Triangle and Kite-Shaped Tiles

15 Escheresque Tessellations Based on Equilateral Triangle Tiles

16 Escheresque Tessellations Based on 60°–120° Rhombus Tiles

17 Escheresque Tessellations Based on Hexagonal Tiles

18 Decorating Tiles to Create Knots and Other Designs

19 Tessellation Metamorphoses and Dissections

20 Introduction to Polyhedra

21 Adapting Plane Tessellations to Polyhedra

22 Tessellating the Platonic Solids

23 Tessellating the Archimedean Solids

24 Tessellating Other Polyhedra

25 Tessellating Other Surfaces

People also search:

origami tessellations

mc escher tessellations

types of tessellations

how to make tessellations

cool tessellations