Origametry PDF Download
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| Author | : Thomas C. Hull |
| Publisher | : Cambridge University Press |
| Total Pages | : 343 |
| Release | : 2020-10-08 |
| Genre | : Art |
| ISBN | : 1108478727 |
Download Origametry Book in PDF, ePub and Kindle
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.
| Author | : Thomas C. Hull |
| Publisher | : Cambridge University Press |
| Total Pages | : 343 |
| Release | : 2020-10-08 |
| Genre | : Mathematics |
| ISBN | : 1108805159 |
Download Origametry Book in PDF, ePub and Kindle
Origami, the art of paper folding, has a rich mathematical theory. Early investigations go back to at least the 1930s, but the twenty-first century has seen a remarkable blossoming of the mathematics of folding. Besides its use in describing origami and designing new models, it is also finding real-world applications from building nano-scale robots to deploying large solar arrays in space. Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It brings together historical results, modern developments, and future directions into a cohesive whole. Over 180 figures illustrate the constructions described while numerous 'diversions' provide jumping-off points for readers to deepen their understanding. This book is an essential reference for researchers of origami mathematics and its applications in physics, engineering, and design. Educators, students, and enthusiasts will also find much to enjoy in this fascinating account of the mathematics of folding.
| Author | : Thomas Hull |
| Publisher | : CRC Press |
| Total Pages | : 365 |
| Release | : 2012-12-21 |
| Genre | : Mathematics |
| ISBN | : 1466567910 |
Download Project Origami Book in PDF, ePub and Kindle
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.
| Author | : Erik D. Demaine |
| Publisher | : Cambridge University Press |
| Total Pages | : 388 |
| Release | : 2007-07-16 |
| Genre | : Computers |
| ISBN | : 1107394090 |
Download Geometric Folding Algorithms Book in PDF, ePub and Kindle
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.
| Author | : Robert J. Lang |
| Publisher | : CRC Press |
| Total Pages | : 603 |
| Release | : 2017-12-22 |
| Genre | : Mathematics |
| ISBN | : 148226241X |
Download Twists, Tilings, and Tessellations Book in PDF, ePub and Kindle
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.
| Author | : Kazuo Haga |
| Publisher | : World Scientific |
| Total Pages | : 153 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 9812834907 |
Download Origamics Book in PDF, ePub and Kindle
The art of origami, or paper folding, is carried out using a square piece of paper to obtain attractive figures of animals, flowers or other familiar figures. It is easy to see that origami has links with geometry. Creases and edges represent lines, intersecting creases and edges make angles, while the intersections themselves represent points. Because of its manipulative and experiential nature, origami could become an effective context for the learning and teaching of geometry.In this unique and original book, origami is an object of mathematical exploration. The activities in this book differ from ordinary origami in that no figures of objects result. Rather, they lead the reader to study the effects of the folding and seek patterns. The experimental approach that characterizes much of science activity can be recognized throughout the book, as the manipulative nature of origami allows much experimenting, comparing, visualizing, discovering and conjecturing. The reader is encouraged to fill in all the proofs, for his/her own satisfaction and for the sake of mathematical completeness. Thus, this book provides a useful, alternative approach for reinforcing and applying the theorems of high school mathematics.
| Author | : David Bressoud |
| Publisher | : American Mathematical Society |
| Total Pages | : 339 |
| Release | : 2022-02-22 |
| Genre | : Mathematics |
| ISBN | : 1470469049 |
Download A Radical Approach to Real Analysis Book in PDF, ePub and Kindle
In this second edition of the MAA classic, exploration continues to be an essential component. More than 60 new exercises have been added, and the chapters on Infinite Summations, Differentiability and Continuity, and Convergence of Infinite Series have been reorganized to make it easier to identify the key ideas. A Radical Approach to Real Analysis is an introduction to real analysis, rooted in and informed by the historical issues that shaped its development. It can be used as a textbook, as a resource for the instructor who prefers to teach a traditional course, or as a resource for the student who has been through a traditional course yet still does not understand what real analysis is about and why it was created. The book begins with Fourier's introduction of trigonometric series and the problems they created for the mathematicians of the early 19th century. It follows Cauchy's attempts to establish a firm foundation for calculus and considers his failures as well as his successes. It culminates with Dirichlet's proof of the validity of the Fourier series expansion and explores some of the counterintuitive results Riemann and Weierstrass were led to as a result of Dirichlet's proof.
| Author | : Stephen Barr |
| Publisher | : Courier Corporation |
| Total Pages | : 242 |
| Release | : 1982-05-01 |
| Genre | : Games & Activities |
| ISBN | : 9780486242606 |
Download Mathematical Brain Benders Book in PDF, ePub and Kindle
Challenge yourself with over 100 fresh paradoxes, puzzles, riddles, conundrums, word and number games for the jaded, skeptical puzzlist. Over 100 pages of comprehensive answers. Approximately 300 illustrations. "Excellent collection of unusual, offbeat, and completely original puzzles." ? Scientific American.
| Author | : Michael Fielding Barnsley |
| Publisher | : Cambridge University Press |
| Total Pages | : 464 |
| Release | : 2006-09-07 |
| Genre | : Computers |
| ISBN | : 0521844932 |
Download SuperFractals Book in PDF, ePub and Kindle
SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.
| Author | : Joseph O'Rourke |
| Publisher | : Cambridge University Press |
| Total Pages | : 192 |
| Release | : 2011-04-25 |
| Genre | : Mathematics |
| ISBN | : 9780521767354 |
Download How to Fold It Book in PDF, ePub and Kindle
What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? You can answer these questions and more through the mathematics of folding and unfolding. From this book, you will discover new and old mathematical theorems by folding paper and find out how to reason toward proofs. With the help of 200 color figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's Web site, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.
