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Origami Polyhedra Design by John Montroll (2009, Trade Paperback)
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Title: Origami Polyhedra Design. Language: English. Number of Pages: 288. Weight: 1.6 lbs. Publication Date: 2009-10-28. Publisher: A K PETERS.
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About this product
Product Identifiers
PublisherA + K Peter's, The Limited
ISBN-101568814585
ISBN-139781568814582
eBay Product ID (ePID)72391036
Product Key Features
Number of Pages300 Pages
LanguageEnglish
Publication NameOrigami Polyhedra Design
Publication Year2009
SubjectOrigami, Geometry / General, General, Recreations & Games
TypeTextbook
Subject AreaMathematics, Crafts & Hobbies
AuthorJohn Montroll
FormatTrade Paperback
Dimensions
Item Height0.8 in
Item Weight27.5 Oz
Item Length10.9 in
Item Width8.5 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2008-053787
Reviews... a teacher of geometry because it allows students to fold figures ranging from simple two-dimensional polygons to complex three-dimensional figures ... can easily be blended into the regular classroom curriculum ... an excellent resource. I recommend it for geometry teachers as a supplement to their regular curriculum. -Gary S. Luck, University of Wisconsin-Milwaukee, Milwaukee, USA … It covers a truly wide range of objects, including the Platonic polyhedra, di-pyramids and some stellated or 'sunken' counterparts. The staggering thing is that each and every example is made of one single sheet of paper. It is astonishing what is possible in the realm of origami. The procedures of generating such a model are explained step by step, which enables the reader to follow the recipe. … I sincerely recommend this nice and absorbing book for all afficionados of origami. … -O. Roschel, International Mathematical News (IMN), December 2010 Origami's recent explosive increase in sophistication owes much to the pioneering ingenuity of noted origami artist Montroll, as documented by his more than two dozen books published since 1980. ... The present volume collects instructions for folding diverse polyhedra, both convex and concave, including many beautiful variations on Platonic solids, more than 70 models in all. ... Notwithstanding the considerable detail the author provides regarding the matematical proportions, miraculously, the folding processes generally involve no explicit numerical measurement. ... Highly recommended. -D. V. Feldman, CHOICE, August 2010 Origami Polyhedra Designis a breakthrough collection of original designs created by the author to make polyhedral shapes from a single sheet of paper through folding. In modular origami, a polyhedral shape is built by interlocking many identical origami pieces, where each piece is constructed from a separate sheet of paper. In this book, Montroll, an origami master who pioneered the folding of origami animals from a single sheet of paper, presents methods for folding various polyhedra from a single sheet of paper. The book is well designed and organized and makes you want to start folding polyhedra. ... and the instructions for the individual models are clear and easy to understand... -Thomas Hagedorn, MAA Reviews, April 2010, It covers a truly wide range of objects, including the Platonic polyhedra, di-pyramids and some stellated or sunken " counterparts. The staggering thing is that each and every example is made of one single sheet of paper. It is astonishing what is possible in the realm of origami. The procedures of generating such a model are explained step by step, which enables the reader to follow the recipe. I sincerely recommend this nice and absorbing book for all afficionados of origami. "O. Roschel, International Mathematical News (IMN), December 2010 Origami's recent explosive increase in sophistication owes much to the pioneering ingenuity of noted origami artist Montroll, as documented by his more than two dozen books published since 1980. ... The present volume collects instructions for folding diverse polyhedra, both convex and concave, including many beautiful variations on Platonic solids, more than 70 models in all. ... Notwithstanding the considerable detail the author provides regarding the matematical proportions, miraculously, the folding processes generally involve no explicit numerical measurement. ... Highly recommended. "D. V. Feldman, CHOICE, August 2010 Origami Polyhedra Designis a breakthrough collection of original designs created by the author to make polyhedral shapes from a single sheet of paper through folding. In modular origami, a polyhedral shape is built by interlocking many identical origami pieces, where each piece is constructed from a separate sheet of paper. In this book, Montroll, an origami master who pioneered the folding of origami animals from a single sheet of paper, presents methods for folding various polyhedra from a single sheet of paper. The book is well designed and organized and makes you want to start folding polyhedra. ... and the instructions for the individual models are clear and easy to understand... "Thomas Hagedorn, MAA Reviews, April 2010, ... a teacher of geometry because it allows students to fold figures ranging from simple two-dimensional polygons to complex three-dimensional figures ... can easily be blended into the regular classroom curriculum ... an excellent resource. I recommend it for geometry teachers as a supplement to their regular curriculum. e"Gary S. Luck, University of Wisconsin-Milwaukee, Milwaukee, USA e It covers a truly wide range of objects, including the Platonic polyhedra, di-pyramids and some stellated or e~sunkene(tm) counterparts. The staggering thing is that each and every example is made of one single sheet of paper. It is astonishing what is possible in the realm of origami. The procedures of generating such a model are explained step by step, which enables the reader to follow the recipe. e I sincerely recommend this nice and absorbing book for all afficionados of origami. e e"O. Roschel, International Mathematical News (IMN), December 2010 Origami's recent explosive increase in sophistication owes much to the pioneering ingenuity of noted origami artist Montroll, as documented by his more than two dozen books published since 1980. ... The present volume collects instructions for folding diverse polyhedra, both convex and concave, including many beautiful variations on Platonic solids, more than 70 models in all. ... Notwithstanding the considerable detail the author provides regarding the matematical proportions, miraculously, the folding processes generally involve no explicit numerical measurement. ... Highly recommended. e"D. V. Feldman, CHOICE, August 2010 Origami Polyhedra Design is a breakthrough collection of original designs created by the author to make polyhedral shapes from a single sheet of paper through folding. In modular origami, a polyhedral shape is built by interlocking many identical origami pieces, where each piece is constructed from a separate sheet of paper. In this book, Montroll, an origami master who pioneered the folding of origami animals from a single sheet of paper, presents methods for folding various polyhedra from a single sheet of paper. The book is well designed and organized and makes you want to start folding polyhedra. ... and the instructions for the individual models are clear and easy to understand... e"Thomas Hagedorn, MAA Reviews, April 2010, ... a teacher of geometry because it allows students to fold figures ranging from simple two-dimensional polygons to complex three-dimensional figures ... can easily be blended into the regular classroom curriculum ... an excellent resource. I recommend it for geometry teachers as a supplement to their regular curriculum. "Gary S. Luck, University of Wisconsin-Milwaukee, Milwaukee, USA It covers a truly wide range of objects, including the Platonic polyhedra, di-pyramids and some stellated or sunken " counterparts. The staggering thing is that each and every example is made of one single sheet of paper. It is astonishing what is possible in the realm of origami. The procedures of generating such a model are explained step by step, which enables the reader to follow the recipe. I sincerely recommend this nice and absorbing book for all afficionados of origami. "O. Roschel, International Mathematical News (IMN), December 2010 Origami's recent explosive increase in sophistication owes much to the pioneering ingenuity of noted origami artist Montroll, as documented by his more than two dozen books published since 1980. ... The present volume collects instructions for folding diverse polyhedra, both convex and concave, including many beautiful variations on Platonic solids, more than 70 models in all. ... Notwithstanding the considerable detail the author provides regarding the matematical proportions, miraculously, the folding processes generally involve no explicit numerical measurement. ... Highly recommended. "D. V. Feldman, CHOICE, August 2010 Origami Polyhedra Designis a breakthrough collection of original designs created by the author to make polyhedral shapes from a single sheet of paper through folding. In modular origami, a polyhedral shape is built by interlocking many identical origami pieces, where each piece is constructed from a separate sheet of paper. In this book, Montroll, an origami master who pioneered the folding of origami animals from a single sheet of paper, presents methods for folding various polyhedra from a single sheet of paper. The book is well designed and organized and makes you want to start folding polyhedra. ... and the instructions for the individual models are clear and easy to understand... "Thomas Hagedorn, MAA Reviews, April 2010, ... a teacher of geometry because it allows students to fold figures ranging from simple two-dimensional polygons to complex three-dimensional figures ... can easily be blended into the regular classroom curriculum ... an excellent resource. I recommend it for geometry teachers as a supplement to their regular curriculum. --Gary S. Luck, University of Wisconsin-Milwaukee, Milwaukee, USA ... It covers a truly wide range of objects, including the Platonic polyhedra, di-pyramids and some stellated or 'sunken' counterparts. The staggering thing is that each and every example is made of one single sheet of paper. It is astonishing what is possible in the realm of origami. The procedures of generating such a model are explained step by step, which enables the reader to follow the recipe. ... I sincerely recommend this nice and absorbing book for all afficionados of origami. ... --O. Roschel, International Mathematical News (IMN), December 2010 Origami's recent explosive increase in sophistication owes much to the pioneering ingenuity of noted origami artist Montroll, as documented by his more than two dozen books published since 1980. ... The present volume collects instructions for folding diverse polyhedra, both convex and concave, including many beautiful variations on Platonic solids, more than 70 models in all. ... Notwithstanding the considerable detail the author provides regarding the matematical proportions, miraculously, the folding processes generally involve no explicit numerical measurement. ... Highly recommended. --D. V. Feldman, CHOICE, August 2010 Origami Polyhedra Design is a breakthrough collection of original designs created by the author to make polyhedral shapes from a single sheet of paper through folding. In modular origami, a polyhedral shape is built by interlocking many identical origami pieces, where each piece is constructed from a separate sheet of paper. In this book, Montroll, an origami master who pioneered the folding of origami animals from a single sheet of paper, presents methods for folding various polyhedra from a single sheet of paper. The book is well designed and organized and makes you want to start folding polyhedra. ... and the instructions for the individual models are clear and easy to understand... --Thomas Hagedorn, MAA Reviews, April 2010, " ""Origami Polyhedra Design is a breakthrough collection of original designs created by the author to make polyhedral shapes from a single sheet of paper through folding. In modular origami, a polyhedral shape is built by interlocking many identical origami pieces, where each piece is constructed from a separate sheet of paper. In this book, Montroll, an origami master who pioneered the folding of origami animals from a single sheet of paper, presents methods for folding various polyhedra from a single sheet of paper. The book is well designed and organized and makes you want to start folding polyhedra. ... and the instructions for the individual models are clear and easy to understand..."" -Thomas Hagedorn, MAA Reviews, April 2010 ""Origami's recent explosive increase in sophistication owes much to the pioneering ingenuity of noted origami artist Montroll, as documented by his more than two dozen books published since 1980. ... The present volume collects instructions for folding diverse polyhedra, both convex and concave, including many beautiful variations on Platonic solids, more than 70 models in all. ... Notwithstanding the considerable detail the author provides regarding the matematical proportions, miraculously, the folding processes generally involve no explicit numerical measurement. ... Highly recommended."" -D. V. Feldman, CHOICE Magazine , August 2010"
Dewey Edition23
IllustratedYes
Dewey Decimal736.98
Table Of ContentPart I: Designing Origami Polyhedra Polyhedra Overview Design Factors and Techniques Math and Design Design Method Examples Polygons Equilateral Triangle Pentagon Hexagon Heptagon Octagon Silver Rectangle Bronze Rectangle Golden Rectangle Part II: Platonic and Related Polyhedra Tetrahedron Design Tetrahedron Duo-Colored Tetrahedron Striped Tetrahedron Tetrahedron of Triangles Stellated Tetrahedron Dimpled Truncated Tetrahedron Cube Design Cube Striped Cube Triangles on Cube Cube with Squares Stellated Octahedron Cubehemioctahedron Dimpled Rhombicuboctahedron Stacked Cubes Octahedron Design Octahedron Striped Octahedron Duo-Colored Octahedron Stellated Cube Octahemioctahedron Dimpled Truncated Octahedron More Platonic Solids Design Icosahedron Dodecahedron Sunken Platonic Solids Design Sunken Octahedron Sunken Tetrahedron Sunken Cube Sunken Dodecahedron Sunken Icosahedron Part III: Dipyramids and Dimpled Dipyramids Dipyramid Design Triangular Dipyramid 90° Triangular Dipyramid Triangular Dipyramid in a Sphere Tall Triangular Dipyramid Tall Square Dipyramid Silver Square Dipyramid Squat Silver Square Diamond Pentagonal Dipyramid Pentagonal Dipyramid 45° Pentagonal Dipyramid in a Sphere Golden Pentagonal Dipyramid Squat Golden Pentagonal Dipyramid Hexagonal Dipyramid Silver Hexagonal Dipyramid Hexagonal Dipyramid 36° Hexagonal Dipyramid in a Sphere Squat Silver Hexagonal Dipyramid Heptagonal Dipyramid Heptagonal Dipyramid 30° Heptagonal Dipyramid in a Sphere Octagonal Dipyramid Octagonal Dipyramid 26° Octagonal Dipyramid in a Sphere Nonagonal Dipyramid Decagonal Dipyramid Dimpled Dipyramid Design Tall Dimpled Square Dipyramid Dimpled Silver Square Dipyramid Heptahedron Dimpled Squat Square Dipyramid Tall Dimpled Hexagonal Dipyramid Dimpled Silver Hexagonal Dipyramid Dimpled Hexagonal Dypyramid Dimpled Hexagonal Dipyramid in a Sphere Octagonal Flying Saucer Dimpled Octagonal Dipyramid in a Sphere Dimpled Octagonal Dipyramid Dimpled Silver Octagonal Dipyramid
SynopsisThis book unravels the mystery of Geometry in Origami with a unique approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. The author covers the five Platonic solids (cube, tetrahedron, octahedron, icosahedron and dodecahedron). There are ample variations with different color patterns and sunken sides. Dipyramids and Dimpled Dipyramids, unexplored before this in Origami, are also covered. There are a total of 64 models in the book. All the designs have an interesting look and a pleasing folding sequence and are based on unique mathematical equations.
LC Classification NumberTT870.M567 2009
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