If you enjoy beautiful geometry and relish the challenge and excitement of something new, the mathematical art of hinged dissections is for you. Using this book, you can explore ways to create hinged collections of pieces that swing together to form a figure. Swing them another way and then, like magic, they form another figure! The profuse illustrations and lively text will show you how to find a wealth of hinged dissections for all kinds of polygons, stars and crosses, curved and even three-dimensional figures. The author includes careful explanation of ingenious new techniques, as well as puzzles and solutions for readers of all mathematical levels. These novel and original dissections will be a gold mine for math puzzle enthusiasts, for math educators in search of enrichment topics, and for anyone who loves to see beautiful objects in motion.
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Editorial Reviews
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"The beautifully illustrated book includes problems, along with drawings of solutions. Some of the history of these dissections is interspersed with the mathematics, and the book includes a comprehensive bibliography." Mathematics Teacher
"Like a magician pulling a succession of stranger and wilder animals out of his hat, the author shows dissections from multiple polygons.... The book is truly a feast.... The diagrams are clear and (as far as this reader can discern) accurate and beautifully edited.... I would put Frederickson's dissection books...on the shortlist of beautiful, inspirational and accessible works in recreational geometry. I heartily recommend Hinged Dissections to anyone who loves geometry, or wants to." American Scientist
"This book, like the author's first (Dissections: Plane and Fancy, 1998), displays the sort of mind-boggling ingenuity that will intrigue anyone interested in the limits of human imagination. Highly recommended." Choice
"This book is a fine contribution to recreational mathematics. The book is beautifully illustrated and easy to read--only a basic knowledge of high-school geometry is needed." Mathematical Reviews
"Like a magician pulling a succession of stranger and wilder animals out of his hat, the author shows dissections from multiple polygons.... The book is truly a feast.... The diagrams are clear and (as far as this reader can discern) accurate and beautifully edited.... I would put Frederickson's dissection books...on the shortlist of beautiful, inspirational and accessible works in recreational geometry. I heartily recommend Hinged Dissections to anyone who loves geometry, or wants to." American Scientist
"This book, like the author's first (Dissections: Plane and Fancy, 1998), displays the sort of mind-boggling ingenuity that will intrigue anyone interested in the limits of human imagination. Highly recommended." Choice
"This book is a fine contribution to recreational mathematics. The book is beautifully illustrated and easy to read--only a basic knowledge of high-school geometry is needed." Mathematical Reviews
Book Description
Using this book, you can explore ways to create hinged collections of pieces that swing together to form a figure. Swing them another way and, like magic, they form another figure! Here you will learn ingenious new techniques for finding a wealth of hinged dissections: polygons, stars, crosses, curved and even three-dimensional figures. For an added challenge, try your hand at the puzzles scattered through the book or make up your own hinged dissections. The book's profuse illustrations and lively text will be accessible to anyone who remembers high school geometry.
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Inside This Book
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First Sentence:
A geometric dissection is a cutting of a geometric figure into pieces that can be rearranged to form another figure. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hingeable dissection, hinged dissection, superposed tessellations, twist hinges, unequal hexagons, superposing tessellations, pieces from one figure, tessellation element, hinged tessellation, hexahedral tessellation, hinged pieces, unequal squares, lunged pieces, triple hinge, flip hinge, wobbly hinges, geometric dissections, clipped rectangle, two pentagrams, hinged model, unequal triangles, large pentagon, swing hinges, four pentagrams, twist lunge Key Phrases - Capitalized Phrases (CAPs): (learn more)
Greek Cross, Anton Hanegraaf, Harry Lindgren, Latin Cross, Henry Dudeney, Robert Reid, Alfred Varsady, Maltese Cross, Method X-gon, Sam Loyd, Bernard Lemaire, The Canterbury Puzzles, Weekly Dispatch, Cross of Lorraine, Gavin Theobald, Method X-star, Complementary Figures, Henry Perigal, Martin Gardner, Paul Busschop, Harry Hart, Interlocks of Similar, Michael Goldberg, Stuart Elliott, David Paterson New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
A geometric dissection is a cutting of a geometric figure into pieces that can be rearranged to form another figure. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hingeable dissection, hinged dissection, superposed tessellations, twist hinges, unequal hexagons, superposing tessellations, pieces from one figure, tessellation element, hinged tessellation, hexahedral tessellation, hinged pieces, unequal squares, lunged pieces, triple hinge, flip hinge, wobbly hinges, geometric dissections, clipped rectangle, two pentagrams, hinged model, unequal triangles, large pentagon, swing hinges, four pentagrams, twist lunge Key Phrases - Capitalized Phrases (CAPs): (learn more)
Greek Cross, Anton Hanegraaf, Harry Lindgren, Latin Cross, Henry Dudeney, Robert Reid, Alfred Varsady, Maltese Cross, Method X-gon, Sam Loyd, Bernard Lemaire, The Canterbury Puzzles, Weekly Dispatch, Cross of Lorraine, Gavin Theobald, Method X-star, Complementary Figures, Henry Perigal, Martin Gardner, Paul Busschop, Harry Hart, Interlocks of Similar, Michael Goldberg, Stuart Elliott, David Paterson New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 23
books:
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cites this book:
- The Canterbury Puzzles (Dover Recreational Math) by H. E. Dudeney on 7 pages
- Computational Geometry: Algorithms and Applications, Second Edition by Mark de Berg in Back Matter (1), and Back Matter (2)
- Survey of Geometry by Howard Eves in Back Matter
- Curious and Interesting Geometry, The Penguin Dictionary of by David Wells in Back Matter
- The Interpretation of Dreams by Sigmund Freud in Back Matter
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