Geometric Folding Algorithms
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Geometric Folding Algorithms
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Author : Erik D. Demaine
language : en
Publisher: Cambridge University Press
Release Date : 2007-07-16
Geometric Folding Algorithms written by Erik D. Demaine and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-16 with Computers categories.
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.
Geometric Folding Algorithms
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Author : Erik D. Demaine
language : en
Publisher: Cambridge University Press
Release Date : 2007-07-16
Geometric Folding Algorithms written by Erik D. Demaine and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-16 with Computers categories.
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.
Games Puzzles And Computation
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Author : Robert A. Hearn
language : en
Publisher: CRC Press
Release Date : 2009-06-30
Games Puzzles And Computation written by Robert A. Hearn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-30 with Mathematics categories.
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
Origametry
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Author : Thomas C. Hull
language : en
Publisher: Cambridge University Press
Release Date : 2020-10-08
Origametry written by Thomas C. Hull and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-08 with Art categories.
Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It is an essential reference for researchers of origami mathematics and applications in physics, engineering, and design. Educators, students, and enthusiasts will also enjoy this fascinating account of the mathematics of folding.
Project Origami
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Author : Thomas Hull
language : en
Publisher: CRC Press
Release Date : 2012-12-21
Project Origami written by Thomas Hull and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-21 with Mathematics categories.
Project Origami: Activities for Exploring Mathematics, Second Edition presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages, this updated and expanded edition now includes 30 activities and offers better solutions and teaching tips for all activities. The book contains detailed plans for 30 hands-on, scalable origami activities. Each activity lists courses in which the activity might fit, includes handouts for classroom use, and provides notes for instructors on solutions, how the handouts can be used, and other pedagogical suggestions. The handouts are also available on the book’s CRC Press web page. Reflecting feedback from teachers and students who have used the book, this classroom-tested text provides an easy and entertaining way for teachers to incorporate origami into a range of college and advanced high school math courses. Visit the author’s website for more information.
Twists Tilings And Tessellations
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Author : Robert J. Lang
language : en
Publisher: CRC Press
Release Date : 2017-12-22
Twists Tilings And Tessellations written by Robert J. Lang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-22 with Mathematics categories.
Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.
A History Of Folding In Mathematics
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Author : Michael Friedman
language : en
Publisher: Birkhäuser
Release Date : 2018-05-25
A History Of Folding In Mathematics written by Michael Friedman and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-25 with Mathematics categories.
While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments – the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete. In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.
Discrete And Computational Geometry 2nd Edition
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Author : Satyan L. Devadoss
language : en
Publisher: Princeton University Press
Release Date : 2025-07-08
Discrete And Computational Geometry 2nd Edition written by Satyan L. Devadoss and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-08 with Mathematics categories.
The essential introduction to discrete and computational geometry—now fully updated and expanded Discrete and Computational Geometry bridges the theoretical world of discrete geometry with the applications-driven realm of computational geometry, offering a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science. Beginning with polygons and ending with polyhedra, it explains how to capture the shape of data given by a set of points, from convex hulls and triangulations to Voronoi diagrams, geometric duality, chains, linkages, and alpha complexes. Connections to real-world applications are made throughout, and algorithms are presented independent of any programming language. Now fully updated and expanded, this richly illustrated textbook is an invaluable learning tool for students in mathematics, computer science, engineering, and physics. Now with new sections on duality and on computational topology Project suggestions at the end of every chapter Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and fully updated unsolved problems Uniquely designed for a one-semester class Accessible to college sophomores with minimal background Also suitable for more advanced students Online solutions manual (available to instructors)
Computational Geometry
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Author : Mark de Berg
language : en
Publisher: Springer Science & Business Media
Release Date : 2000
Computational Geometry written by Mark de Berg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
For students this motivation will be especially welcome.