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Hinged Dissections
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Book Synopsis Hinged Dissections by : Greg N. Frederickson
Download or read book Hinged Dissections written by Greg N. Frederickson and published by Cambridge University Press. This book was released on 2002-08-26 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: These novel and original dissections will be a gold mine for math puzzle enthusiasts and for math educators.
Book Synopsis Piano-hinged Dissections by : Greg N. Frederickson
Download or read book Piano-hinged Dissections written by Greg N. Frederickson and published by A K PETERS. This book was released on 2020-04-28 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: A dissection involves cutting a polygon into pieces in such a way that those pieces form another polygon; for a hinged dissection, the pieces must be attached by hinges. A piano hinge is "a long narrow hinge with a pin running the entire length of its joint." So, unlike regular hinged dissections, which swing or twist (around single point of hinge), piano-hinged dissections fold along an edge. This book discusses the history, methods, and variations of these dissections and is rich with illustrations that clearly depict the cuts of the dissections and three-dimensional simulations of the dissections in the process of being folded. A CD that includes video recordings of select dissections being transformed accompanies the book.
Book Synopsis Dissections by : Greg N. Frederickson
Download or read book Dissections written by Greg N. Frederickson and published by Cambridge University Press. This book was released on 1997 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, beautifully illustrated survey accessible to anyone familiar with high school geometry.
Book Synopsis Geometric Dissections by : Harry Lindgren
Download or read book Geometric Dissections written by Harry Lindgren and published by . This book was released on 1964 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Piano-Hinged Dissections by : Greg N. Frederickson
Download or read book Piano-Hinged Dissections written by Greg N. Frederickson and published by CRC Press. This book was released on 2006-11-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: A dissection involves cutting a polygon into pieces in such a way that those pieces form another polygon; for a hinged dissection, the pieces must be attached by hinges. A piano hinge is "a long narrow hinge with a pin running the entire length of its joint." So, unlike regular hinged dissections, which swing or twist (around single point of hinge)
Book Synopsis Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! by : Frederickson Greg N
Download or read book Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! written by Frederickson Greg N and published by World Scientific. This book was released on 2017-11-24 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A geometric dissection is a cutting of a geometric figure (such as a regular polygon, or a star, or a cross) into pieces that we can rearrange to form another geometric figure. The best dissections are beautiful and possess economy (few pieces), symmetry, or hingeability. They are often challenging to discover. Ernest Irving Freese was an architect who lived and worked in Los Angeles until his death in 1957. Shortly before he passed away, he completed a 200-page manuscript on geometric dissection, the first book-length treatment on that subject. Freese included elegant drawings of dissections that were both original and clever. After his death the manuscript lay forgotten in his former house until Greg Frederickson set in motion its recovery in 2003. What a treat that it was rescued! Frederickson's book sketches a history of geometric dissections and a biography of Freese, followed by a refurbished copy of Freese's manuscript interleaved with a commentary that highlights Freese's major contributions as well as singular improvements made by Frederickson and others after Freese. This book introduces Freese and his creations to math puzzle enthusiasts, by way of his engaging manuscript, his wild adventures, and his lovely dissections. Frederickson also includes remarkable designs that improve on Freese's work, and packs this book with nifty illustrations and tidbits that may well leave you speechless! Contents: The Rich History of Geometric DissectionsThe "Wild Adventures" of Ernest FreeseTechniques, Special Properties, HardnessFreese's Title Page and IndexIsosceles TrianglesEquilateral TrianglesSquares, Crosses, RectanglesPentagons and PentagramsHexagons and HexagramsOctagons and OctagramsEnneagons (Nonagons)Decagons and DecagramsDodecagons, DodecagramsMany-sided PolygonsMiscellaneous FiguresMore CrossesMore Miscellaneous FiguresMixed Polygons to OneSpecial Triangles Readership: General public and math puzzle enthusiasts. Keywords: Geometric Dissections;Hinged Dissections;Ernest Irving Freese;Henry E Dudeney;Mathematical Recreations;Polygons;Stars;Tessellations;Rhombuses;SymmetryReview: Key Features: The book is a feast for the eyes: Freese's manuscript displays exquisite drawings in an architect's style, while the commentary presents outstandinging dissections that illustrate a brilliant visual one-ups-man-shipThe book stretches the boundaries of dissection: Freese's manuscript explores a remarkable variety of here-to-fore unseen geometric dissections, including those that demonstrate nontrivial numerical identities. The commentary pushes his exploratory use of hinges in extraordinary ways, and drastically improves on his pioneering dissections of many-sided polygons to squaresThe book provides not only historical perspectives on geometric dissection, but also summarizes current mathematical characterizations of the hardness of minimizing the number of pieces in a dissection and of verifying motion planning of hinged dissections
Book Synopsis Geometric Folding Algorithms by : Erik D. Demaine
Download or read book Geometric Folding Algorithms written by Erik D. Demaine and published by Cambridge University Press. This book was released on 2007-07-16 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.
Book Synopsis How to Draw a Straight Line by : Alfred Bray Kempe
Download or read book How to Draw a Straight Line written by Alfred Bray Kempe and published by . This book was released on 1877 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Games, Puzzles, and Computation by : Robert A. Hearn
Download or read book Games, Puzzles, and Computation written by Robert A. Hearn and published by CRC Press. This book was released on 2009-06-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors show that there are underlying mathematical reasons for why games and puzzles are challenging (and perhaps why they are so much fun). They also show that games and puzzles can serve as powerful models of computation-quite different from the usual models of automata and circuits-offering a new way of thinking about computation. The appen
Author :Mathematical Association of America Publisher :Cambridge University Press ISBN 13 :9780521531627 Total Pages :572 pages Book Rating :4.5/5 (316 download)
Book Synopsis The Changing Shape of Geometry by : Mathematical Association of America
Download or read book The Changing Shape of Geometry written by Mathematical Association of America and published by Cambridge University Press. This book was released on 2003-01-09 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of popular articles on geometry from distinguished mathematicians and educationalists.
Book Synopsis The Puzzling World of Polyhedral Dissections by : Stewart T. Coffin
Download or read book The Puzzling World of Polyhedral Dissections written by Stewart T. Coffin and published by Oxford University Press, USA. This book was released on 1991 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many years Stewart Coffin has been inventing and building solid geometrical puzzles. His craftsmanship and originality of design have won him a devoted following among puzzle enthusiasts and collectors the world over. In this unique book, Stewart provides an enjoyable and educational guide to the history, geometry, and practical construction of three-dimensional puzzles. The Puzzling World of Polyhedral Dissections includes full coverage of the many different types of interlocking assembly puzzles, from burrs, Tangrams, and polyominoes to those using such polyhedra as the rhombic dodecahedron and truncated octahedron. Coffin also describes numerous puzzles designed by himself and other inventors, many never before published. The volume is illustrated with over 200 line drawings and photographs to help enthusiasts build their own versions of these challenging and fascinating interlocking solids. Many unsolved problems are considered that will challenge mathematicians, computer buffs, and puzzle fanatics for years to come.
Book Synopsis Flattening the Earth by : John P. Snyder
Download or read book Flattening the Earth written by John P. Snyder and published by University of Chicago Press. This book was released on 1997-12-05 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cartographers have long grappled with the impossibility of portraying the earth in two dimensions. To solve this problem, mapmakers have created map projections. This work discusses and illustrates the known map projections from before 500BC to the present, with facts on their origins and use.
Book Synopsis Combinatorial Rigidity by : Jack E. Graver
Download or read book Combinatorial Rigidity written by Jack E. Graver and published by American Mathematical Soc.. This book was released on 1993 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents rigidity theory in a historical context. The combinatorial aspects of rigidity are isolated and framed in terms of a special class of matroids, which are a natural generalization of the connectivity matroid of a graph. The book includes an introduction to matroid theory and an extensive study of planar rigidity. The final chapter is devoted to higher dimensional rigidity, highlighting the main open questions. Also included is an extensive annotated bibiolography with over 150 entries. The book is aimed at graduate students and researchers in graph theory and combinatorics or in fields which apply the structural aspects of these subjects in architecture and engineering. Accessible to those who have had an introduction to graph theory at the senior or graduate level, the book would be suitable for a graduate course in graph theory.
Book Synopsis Tribute to a Mathemagician by : Barry Cipra
Download or read book Tribute to a Mathemagician written by Barry Cipra and published by CRC Press. This book was released on 2004-11-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tradition of a publication based on the Gathering for Gardner continues with this new carefully selected and edited collection in which Martin Gardner and friends inspire and entertain. The contributors to this volume---virtually a list of Who's Who in the World of Puzzles---trace their inspiration to Martin Gardner's puzzle column in Scientifi
Download or read book Flexagons Inside Out written by Les Pook and published by Cambridge University Press. This book was released on 2003 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Flexagons are hinged polygons that have the intriguing property of displaying different pairs of faces when they are flexed. Workable paper models of flexagons are easy to make and entertaining to manipulate. Flexagons have a surprisingly complex mathematical structure and just how a flexagon works is not obvious on casual examination of a paper model. Flexagons may be appreciated at three different levels. Firstly as toys or puzzles, secondly as a recreational mathematics topic and finally as the subject of serious mathematical study. This book is written for anyone interested in puzzles or recreational maths. No previous knowledge of flexagons is assumed, and the only pre-requisite is some knowledge of elementary geometry. An attractive feature of the book is a collection of nets, with assembly instructions, for a wide range of paper models of flexagons. These are printed full size and laid out so they can be photocopied.
Book Synopsis Algorithms and Data Structures by : Frank Dehne
Download or read book Algorithms and Data Structures written by Frank Dehne and published by Springer. This book was released on 2005-08-29 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume were presented at the 9th Workshop on Algorithms and Data Structures (WADS 2005). The workshop took place during August 15–17, 2005, at the University of Waterloo, Waterloo, Canada.
Book Synopsis The Last Recreations by : Martin Gardner
Download or read book The Last Recreations written by Martin Gardner and published by Springer Science & Business Media. This book was released on 2007-02-28 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of all of Martin Gardners writings, none gained him a wider audience or was more central to his reputation than his Mathematical Recreations column in Scientific American - which virtually defined the genre of popular mathematics writing for a generation. Flatland, Hydras and Eggs: Mathematical Mystifications is the final collection of these columns, covering the period roughly from 1979 to Gardners retirement in 1986. As always in his published collections, Gardner includes letters commenting on the ideas presented in his articles. These columns show him at the top of his form and should not be missed by anyone with an interest in mathematics.
