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Tessellations
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 t...
Designing and Building Tessellated Polyhedra
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 Msbius strips. For classroom use, ten activities with worksheets, designed to address ten different specific Common Core State Standards for Mathematics are included as well. Ages 12-17
Geometric Shapes Activity Book
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 large geometric shape and drawing incorporating it. 2. Drawing the geometric shape, first by using the dots provided in the lower right corner for guidance, and then freehand. 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 on the drawing in the upper right corner. 6. Measuring the dimensions of the shape in the upper right drawing and using them to calculate the perimeter or area.
The Math Book
The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
M.C. Escher’s Legacy
Softcover printing of a popular title (h/c sold over 400 copies in North America) at a price that will make it accessible to a much wider audience Richly illustrated with original art works in addition to well-known and little-known works by Escher A CD-ROM complements the articles, containing color illustrations of work by contemporary artists, movies, animations, and other demonstrations
Regular Polygon Tessellations Activity Book
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.
Designing and Drawing Tesselations
"Lifelike Tessellations Activity Book", "Regular Polygon Tessellations Activity Book", and "Polyhedra Activity Book".
M.C. Escher's Legacy
"The CD-ROM is an extension of the book. It contains color versions of many of the art works that are shown in the book in black and white, as well as additional work by the artists. It gives vignettes of the conference ... animations, short videos, and interactive puzzles."--Page vii.
Psychedelic Origami
Psychedelic Origamiis the newest installment in Sterling Innovation's highly successful line of origami book and kits. It features wild new origami papers in vibrant "hippie" colors and psychedelic patterns. This great gift pack also includes a book that teaches paper artists how to fold unique sixties'-themed projects, such as a peace sign and a guitar, as well as "tessellations"--interlocking geometric shapes that create "geogami." Plus, the kit comes complete with a finished peace sign project, making for an attractive and exciting presentation.
Structure and Form in Design
This book provides a critical examination of structure and form in design, covering a range of topics of great value to students and practitioners engaged in any of the specialist decorative arts and design disciplines. The complexities of two-dimensional phenomena are explained and illustrated in detail, while various three-dimensional forms are also discussed. In the context of the decorative arts and design, structure is the underlying framework, and form the resultant, visible, two- or three-dimensional outcome of the creative process. Whether hidden or visually detectable in the final design, structure invariably determines whether or not a design is successful in terms of both its aesthetics and its practical performance. Hann successfully identifies various geometric concepts, and presents and discusses a number of simple guidelines to assist the creative endeavours of both accomplished and student practitioners, teachers and researchers.
