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Geometric Folding Algorithms

Geometric Folding Algorithms Author Erik D. Demaine
ISBN-10 1306148669
Release 2014-02-20
Pages
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Lavishly illustrated and entertaining account of the surprising and useful results of the maths of folding and unfolding.



How to Fold It

How to Fold It Author Joseph O’Rourke
ISBN-10 9781139498548
Release 2011-04-25
Pages
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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? With the help of 200 colour 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 website, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.



3D Origami Art

3D Origami Art Author Jun Mitani
ISBN-10 9781315350400
Release 2017-12-21
Pages 114
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Easily Create Origami with Curved Folds and Surfaces Origami—making shapes only through folding—reveals a fascinating area of geometry woven with a variety of representations. The world of origami has progressed dramatically since the advent of computer programs to perform the necessary computations for origami design. 3D Origami Art presents the design methods underlying 3D creations derived from computation. It includes numerous photos and design drawings called crease patterns, which are available for download on the author’s website. Through the book’s clear figures and descriptions, readers can easily create geometric 3D structures out of a set of lines and curves drawn on a 2D plane. The author uses various shapes of sheets such as rectangles and regular polygons, instead of square paper, to create the origami. Many of the origami creations have a 3D structure composed of curved surfaces, and some of them have complicated forms. However, the background theory underlying all the creations is very simple. The author shows how different origami forms are designed from a common theory.



Discrete and Computational Geometry

Discrete and Computational Geometry Author Satyan L. Devadoss
ISBN-10 1400838983
Release 2011-04-11
Pages 280
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Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincaré conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems. The essential introduction to discrete and computational geometry Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and unsolved problems Suitable for sophomores in mathematics, computer science, engineering, or physics Rigorous but accessible An online solutions manual is available (for teachers only). To obtain access, please e-mail: [email protected]



Algorithms and Computation

Algorithms and Computation Author Takao Asano
ISBN-10 9783642255915
Release 2011-12-03
Pages 775
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This book constitutes the refereed proceedings of the 22nd International Symposium on Algorithms and Computation, ISAAC 2011, held in Yokohama, Japan in December 2011. The 76 revised full papers presented together with two invited talks were carefully reviewed and selected from 187 submissions for inclusion in the book. This volume contains topics such as approximation algorithms; computational geometry; computational biology; computational complexity; data structures; distributed systems; graph algorithms; graph drawing and information visualization; optimization; online and streaming algorithms; parallel and external memory algorithms; parameterized algorithms; game theory and internet algorithms; randomized algorithms; and string algorithms.



Serious Fun with Flexagons

Serious Fun with Flexagons Author L.P. Pook
ISBN-10 9048125030
Release 2009-08-04
Pages 330
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A flexagon is a motion structure that has the appearance of a ring of hinged polygons. It can be flexed to display different pairs of faces, usually in cyclic order. Flexagons can be appreciated as toys or puzzles, as a recreational mathematics topic, and as the subject of serious mathematical study. Workable paper models of flexagons are easy to make and entertaining to manipulate. The mathematics of flexagons is complex, and how a flexagon works is not immediately obvious on examination of a paper model. Recent geometric analysis, included in the book, has improved theoretical understanding of flexagons, especially relationships between different types. This profusely illustrated book is arranged in a logical order appropriate for a textbook on the geometry of flexagons. It is written so that it can be enjoyed at both the recreational mathematics level, and at the serious mathematics level. The only prerequisite is some knowledge of elementary geometry, including properties of polygons. A feature of the book is a compendium of over 100 nets for making paper models of some of the more interesting flexagons, chosen to complement the text. These are accurately drawn and reproduced at half full size. Many of the nets have not previously been published. Instructions for assembling and manipulating the flexagons are included.



Dr Dobb s Journal

Dr  Dobb s Journal Author
ISBN-10 UCSD:31822036927689
Release 2008
Pages
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Dr Dobb s Journal has been writing in one form or another for most of life. You can find so many inspiration from Dr Dobb s Journal also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Dr Dobb s Journal book for free.



Yearbook

Yearbook Author
ISBN-10 0873536193
Release 2009
Pages 375
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CD-ROM contains lessons, activity sheets, application files, video clips, and Web links.



Congressus Numerantium

Congressus Numerantium Author
ISBN-10 PSU:000065642344
Release 2008
Pages
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Congressus Numerantium has been writing in one form or another for most of life. You can find so many inspiration from Congressus Numerantium also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Congressus Numerantium book for free.



Findings on Elasticity

Findings on Elasticity Author Hester Aardse
ISBN-10 STANFORD:36105215508164
Release 2010
Pages 208
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This work is centred on elasticity in the broadest sense of the word. What happens when one gives a simple rubber band to an architect, historian, choreographer, chemist, artist, mathematician, physicist, economist, anthropologist, and geologist and asks each of them for a statement on elasticity?



Abstracts of Papers Presented to the American Mathematical Society

Abstracts of Papers Presented to the American Mathematical Society Author
ISBN-10 CORNELL:31924099661484
Release 2005
Pages
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Abstracts of Papers Presented to the American Mathematical Society has been writing in one form or another for most of life. You can find so many inspiration from Abstracts of Papers Presented to the American Mathematical Society also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Abstracts of Papers Presented to the American Mathematical Society book for free.



Politeia

Politeia Author Plato
ISBN-10 353424060X
Release 2011-01
Pages 5238
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Politeia has been writing in one form or another for most of life. You can find so many inspiration from Politeia also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Politeia book for free.



Leviathan

Leviathan Author Thomas Hobbes
ISBN-10 9602350210
Release 1989
Pages 336
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Leviathan has been writing in one form or another for most of life. You can find so many inspiration from Leviathan also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Leviathan book for free.



Oikonomikos

Oikonomikos Author Xenophon
ISBN-10 9608437989
Release 2007
Pages 430
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Oikonomikos has been writing in one form or another for most of life. You can find so many inspiration from Oikonomikos also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Oikonomikos book for free.



Theait tos Anterastai Theag s

Theait  tos   Anterastai   Theag  s Author Plato
ISBN-10 OCLC:220741524
Release 19??
Pages 111
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Theait tos Anterastai Theag s has been writing in one form or another for most of life. You can find so many inspiration from Theait tos Anterastai Theag s also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Theait tos Anterastai Theag s book for free.



Etica Nicomaquea

Etica Nicomaquea Author Aristote
ISBN-10 8472256189
Release 1995
Pages 586
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Etica Nicomaquea has been writing in one form or another for most of life. You can find so many inspiration from Etica Nicomaquea also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Etica Nicomaquea book for free.



Pr tagoras

Pr  tagoras Author Plato
ISBN-10 9607760379
Release 2004
Pages 319
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Pr tagoras has been writing in one form or another for most of life. You can find so many inspiration from Pr tagoras also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Pr tagoras book for free.