The book also contains background on polyhedra and templates for tessellated cones, cylinders, and Mšbius strips. Yet another possibility is to use templates to design new tessellations that can be applied to the polyhedra. Another option is building undecorated polyhedra that have the names and key properties printed on them. This allows polyhedra to be built with ready-made designs that can be colored if desired, or printed in beautiful color using the included CD. Nets for 24 different polyhedra, including all of the Platonic and Archimedean solids, are presented both with and without tessellations applied to them. Designing and Building Tessellated Polyhedra brings these two fascinating topics together a for hands-on learning experience rich in math content. Tessellations in which individual tiles are lifelike motifs are a fun combination of art and mathematics. Polyhedra allow geometric shapes in the plane to become solids in our three-dimensional world. Students and adults alike love tessellations - they make math fun while encouraging creativity!īy Robert Fathauer, 8-1/2" x 11", 142 pages, 2008.ĭesigning and Building Tessellated Polyhedra Each chapter contains activities designed for a classroom setting. Finally, dozens of different templates are included for creating a wide variety of different tessellations.ĭesigning and Drawing Tessellations is designed for use either by individuals or in a classroom. A step-by-step illustrated example describes in detail the process of designing and drawing a tessellation. Numerous tips and techniques on the artistic aspects of creating tessellations are also presented, material not available from any other source. History and background on the topic are followed by descriptions of the required geometric concepts, focusing on transformations and symmetry. Once the mathematical underpinnings are understood, however, designing them is a skill anyone can master.ĭesigning and Drawing Tessellations show you how to make a tessellation. At first glance, the creation of these intriguing designs can appear to be a complete mystery. Tessellations in which the individual tiles are lifelike motifs are a fun and fascinating combination of art and mathematics. Grades K-12.Ĭlick on the following links to download sample pages from the book in pdf format:īy Robert Fathauer, 8-1/2" x 11", 92 pages. Tessellations Around the World will help you or your students recognize and appreciate mathematics in the world around us, while reinforcing geometry and problem solving skills. Many of the questions in the book are designed to address specific Common Core State Standards for Mathematics. Tessellations Around the World is designed for use either by individuals or in a classroom setting. The tessellations are grouped by geographical region, and there is an introduction to the tessellations of each region. The book also contains chapters on tessellation basics, symmetry in tessellations, and tessellations in the real world. In addition to math questions, there is one question for each page relating to geography or culture. A line drawing of the tessellation, a map showing its location, and a series of questions accompany 50 of the photographs. Tessellations Around the World contains nearly 100 photographs of tessellations found in nature and in synthetic objects. Signed by the author a custom inscription can be added in the Shopping Cart. By Robert Fathauer, 464 Pages, 504 Color Illustrations. Tessellations: Mathematics, Art, and Recreation (HC) Note the shipping charge for this book alone to Europe is $36.95. Going beyond planar designs, the book contains numerous nets of polyhedra and templates for applying Escheresque designs to them.Īctivities and worksheets are spread throughout the book, and examples of real-world tessellations are also provided.īy Robert Fathauer, 464 Pages, 504 Color Illustrations. These are extremely popular with students and math hobbyists but are typically very challenging to execute. The book has a particular focus on ‘Escheresque’ designs, in which the individual tiles are recognizable real-world motifs. Inclusion of special topics like spiral tilings and tessellation metamorphoses allows the reader to explore beautiful and entertaining math and art. Additionally, it covers techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations. This book aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists. Tessellations: Mathematics, Art, and Recreation
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