Books by Robert Fathauer

Tessellations: Mathematics, Art, and Recreation $54.95 * 10% off list price * This book 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. 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. For more about the book, click here. By Robert Fathauer, 464 Pages, 504 Color Illustrations. Softcover, 2020. Signed by the author; a custom inscription can be added in the Shopping Cart. Note the shipping charge for this book alone to Europe is $36.95.	Tessellations: Mathematics, Art, and Recreation (HC) $139.95 * 30% off list price * Hardcover. By Robert Fathauer, 464 Pages, 504 Color Illustrations. 2020. Signed by the author; a custom inscription can be added in the Shopping Cart.	Tessellations Around the World $19.95 Tessellations Around the World contains nearly 100 photographs of tessellations found in nature and in synthetic objects. A line drawing of the tessellation, a map showing its location, and a series of questions accompany 50 of the photographs. In addition to math questions, there is one question for each page relating to geography or culture. The book also contains chapters on tessellation basics, symmetry in tessellations, and tessellations in the real world. The tessellations are grouped by geographical region, and there is an introduction to the tessellations of each region. Tessellations Around the World is designed for use either by individuals or in a classroom setting. Many of the questions in the book are designed to address specific Common Core State Standards for Mathematics. 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. Grades K-12. Click on the following links to download sample pages from the book in pdf format: Table of contents Sample page 1 Sample page 2 By Robert Fathauer, 8-1/2" x 11", 92 pages. 2014.
Designing and Drawing Tessellations $24.95 Tessellations in which the individual tiles are lifelike motifs are a fun and fascinating combination of art and mathematics. At first glance, the creation of these intriguing designs can appear to be a complete mystery. Once the mathematical underpinnings are understood, however, designing them is a skill anyone can master. Designing and Drawing Tessellations show you how to make a tessellation. History and background on the topic are followed by descriptions of the required geometric concepts, focusing on transformations and symmetry. Numerous tips and techniques on the artistic aspects of creating tessellations are also presented, material not available from any other source. A step-by-step illustrated example describes in detail the process of designing and drawing a tessellation. Finally, dozens of different templates are included for creating a wide variety of different tessellations. Designing and Drawing Tessellations is designed for use either by individuals or in a classroom. Each chapter contains activities designed for a classroom setting. Students and adults alike love tessellations - they make math fun while encouraging creativity! Click on the following links to download sample pages from the book in pdf format: Table of contents Student worksheet example Tessellation template example By Robert Fathauer, 8-1/2" x 11", 142 pages, 2008.	Designing and Building Tessellated Polyhedra $29.95 Polyhedra allow geometric shapes in the plane to become solids in our three-dimensional world. Tessellations in which individual tiles are lifelike motifs are a fun combination of art and mathematics. Designing and Building Tessellated Polyhedra brings these two fascinating topics together a for hands-on learning experience rich in math content. Nets for 24 different polyhedra, including all of the Platonic and Archimedean solids, are presented both with and without tessellations applied to 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. Another option is building undecorated polyhedra that have the names and key properties printed on them. Yet another possibility is to use templates to design new tessellations that can be applied to the polyhedra. The book also contains background on polyhedra and templates for tessellated cones, cylinders, and Mšbius strips. For classroom use, ten activities with worksheets, designed to address ten different specific Common Core State Standards for Mathematics are included as well. Click on the following links to download sample pages from the book in pdf format: Table of contents Classroom activity example Polyhedron net example By Robert Fathauer, 8-1/2" x 11", 111 pages, with CD, 2012.	Geometric Shapes Activity Book $9.95 This book contains two pages of background material about geometric shapes, an activities example page, plus two dozen 8.5" x 11" pages of different geometric shapes. Each shape is incorporated in a larger drawing showing an example of the shape in the real world or its use in a geometric design. There are six activities that may be performed for each page: 1) Coloring the drawing incorporating the shape; 2) Drawing the shape; 3) Writing out the name of the shape, and learning to pronounce and spell it; 4) Coloring the tessellation example; 5) Marking the rotational and mirror symmetries of the shape; and 6) Measuring the dimensions of the shape and using them to calculate the area or perimeter. By Robert Fathauer. 8-1/2" x 11".
Regular Polygon Tessellations Activity Book $9.95 This book contains two pages of background material about tessellations, an activities example page, plus two dozen 8.5" x 11" pages of tessellations in which the individual tiles are regular polygons. There are five activities that may be performed for each page: 1) Identifying the different types of tiles in the design; 2) Identifying the unit cell for the design (the group of tiles that can be repeated to cover the plane); 3) Marking the different types of symmetry the design possesses; 4) Identifying the distinct types of vertices in the design; 5) Coloring the design. By Robert Fathauer. 8-1/2" x 11".	Lifelike Tessellations Activity Book $9.95 This book contains a 2-page introduction covering tessellation basics, an example page, and two dozen original lifelike tessellation designs that can be copied and colored many different ways. Four other activities can be performed with each design to help learn about tessellations. By Robert Fathauer. 8-1/2" x 11".	Polyhedra Activity Book $9.95 This book contains two pages of background material about polyhedra, an activities example page, plus two dozen 8.5" x 11" pages of different polyhedra, including all eighteen Platonic and Archimedean Solids. There are six activities that may be performed for each page: 1) Identifying the number and different types of polygons in the polyhedron; 2) Counting the number of vertices, faces, and edges in the polyhedron; 3) Writing out the name of the polyhedron and learning to pronounce it; 4) Marking the different types of symmetry the polyhedron possesses; 5) Drawing the polyhedron by connecting dots; and 6) Coloring the polyhdedron. By Robert Fathauer. 8-1/2" x 11", 30 pages (2009).
Fractal Trees $19.95 In this book, by combining photographic imagery with iteration, the mathematical process at the heart of fractals, Robert Fathauer explores his unique vision of a nature that is even more fractal than the real world. These creations include a fern-like tree built from the stem of a rose bush, an infinite collection of spirals formed from the skeleton of a cholla cactus, and a tree whose outline resembles a maple leaf. Thirteen different trees are shown in two page spreads, and six randomized fractal trees are shown as well. The book also includes a section on the method used to create the trees and notes on the individual trees. Included are three classroom worksheets that teachers can copy, covering branching of fractal trees, trees in nature, and infinite series. By Robert Fathauer. 52 pages, 8-1/2" x 11".	Proportions of the Heart: Poems that Play with Mathematics $14.95 This volume contains 22 poems by American poet and philosopher Emily Grosholz. The poems in this book blend mathematical topics from fractals to negative curvature with history, classicism, and human emotions. Includes illustrations by Robert Fathauer. Paperback, 2014, 6" x 9", 55 pages. For more information about the book, please click here.