Polyhedra - Books

   
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.
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Polyhedra Activity Book
$12.95
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).
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Cut & Assemble Icosahedra
$14.95
Twelve cut-and-assemble models of icoshedra offer children and professional mathematicians alike a tangible way to appreciate the structure and intrinsic beauty of polyhedra. The models range in difficulty from simple to complex. Some feature colors that reveal their relationships, and all five underlying shapes are rendered in white to emphasize their overall structure and to allow model-makers to color them as they wish. This hands-on educational activity book includes complete step-by-step instructions and diagrams for assembly plus mathematical explanations of the geometric shapes. Ideal classroom tools for teachers of high school and college geometry courses, these models are also charming diversions for papercraft hobbyists. By Eve Torrance. 8-1/4" x 11", 64 pages (2011).
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Twirl kusudamas 1
$19.95
A kusudama is a decorative multipiece ball of origami flowers. This book explains how to make and join twirl modules to form a variety of flower and polyhedra models. "Twirl Kusudamas 1" describes models based on the standard SSSS twirl module, where "S" stands for "spiral". Text is in both Polish and English. By Krystyna Burczyk. Includes 8 pages of full-color figures. 8-1/4" x 11-5/8", 56 pages (2008).
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Twirl kusudamas 2
$19.95
A kusudama is a decorative multipiece ball of origami flowers. This book explains how to make and join twirl modules to form a variety of kusudamas. "Twirl Kusudamas 2" describes models based on the SLSL and SFSF modules and their modifications, where "S", "L", and "F" stand for "spiral", "line", and "fold". Text is in both Polish and English. By Krystyna and Wojciech Burczyk. Includes 12 pages of full-color figures. 8-1/4" x 11-5/8", 64 pages (2009).
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Twirl kusudamas 3
$19.95
A kusudama is a decorative multipiece ball of origami flowers. This book explains how to make and join twirl modules to form a variety of kusudamas. "Twirl Kusudamas 3" describes models based on the SSLL and SSFF modules, where "S", and "F" stand for "spiral" and "fold". Text is in both Polish and English. By Krystyna and Wojciech Burczyk. Includes 16 pages of full-color figures. 8-1/4" x 11-5/8", 64 pages (2009).
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Multimodular Origami Polyhedra
$7.95
Explore the link between paperfolding and mathematics with this unique, well-illustrated guide to creating a world of multifaceted wonders that draws on elements of crystallography. Photographs, diagrams, and charts show how to apply mathematical principles to the origami waterbomb base to create geodesic forms. Detailed instructions, clear diagrams. Includes the Archimedean solids, Buckyballs, and duality. By Rona Gurkewitz and Bennett Arnstein. 8-1/4" x 11", 80 pages (2003).
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Woodcarving Magic
$19.95
If you thought carving the linked chain or the ball-in-cage was a challenge, get ready for Bjarne Jespersen and his mind-altering woodcarving projects! Bjarne is a master woodcarver from Denmark who has spent his life studying geometric form. His mathematical woodcarvings have been exhibited at several Bridges Conferences. In this book, he shares over 25 amazing designs and projects for woodcarving. From flat rings, to linked cages, to magic spheres and beyond—this is a book that will keep woodcarvers challenged for a long time! Each project includes detailed diagrams illustrating the carving process along with notes from the author about the composition and design. Softcover, 8-1/2" x 11", 127 pages (2012).
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3-D Geometric Origami
$7.95
By Rona Gurkewitz and Bennett Arnstein. Contains step-by-step instructions and diagrams for building over 60 different polyhedra-based models from origami units. 80 pages.
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Regular Polytopes
$16.95
By H.S.M. Coxeter. Polytopes are geometric figures bounded by portions of lines, planes or hyperplanes. In plane (2D) geometry they are known as polygons. In solid (3D) geometry they are known as polyhedra. This classic text covers Euler's formula, rotation groups, star polyhedra, truncation, kaleidoscopes, sections and projections, and more. 321 pages, 5-3/8" x 8-1/2", paperback (1973).
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Wooden Polyhedra Book
$9.95
"Wooden Polyhedra", a book by Hiroshi Nakagawa and Ikuro Sato, describes how to make your own wooden polyhedra. The book includes numerous illustrations, many in color. 6" x 8", paperback, 46 pages, in English, 2012. ISBN 9784990588007.
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Snowflake Seashell Star Coloring Book
$14.95
Snowflake, Seashell, Star is full of intricate and beautiful illustrations, using patterns such as loops, waves and spirals, created by Alex Bellos in collaboration with mathematical artist, Edmund Harriss. Stretch your artistic talents and embrace mathematics' aesthetic and conceptual exquisiteness. In 80 images, the book will teach you how to convey the wonder of mathematics through color and design. Snowflake, Seashell, Star is a celebration of the overlaps between mathematics and art, learning and play, concentration and calm.