The puzzling world of polyhedral dissections

Author: Stewart T. Coffin

Publisher: Oxford University Press, USA

ISBN: 9780192861337

Category: Games

Page: 196

View: 8009

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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 Dissectionsincludes 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.
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CRC Concise Encyclopedia of Mathematics

Author: Eric W. Weisstein

Publisher: CRC Press

ISBN: 1420035223

Category: Mathematics

Page: 3252

View: 372

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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
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Geometric Puzzle Design

Author: Stewart Coffin

Publisher: CRC Press

ISBN: 1568814992

Category: Mathematics

Page: 220

View: 6632

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This book discusses how to design "good" geometric puzzles: two-dimensional dissection puzzles, polyhedral dissections, and burrs. It outlines major categories of geometric puzzles and provides examples, sometimes going into the history and philosophy of those examples. The author presents challenges and thoughtful questions, as well as practical design and woodworking tips to encourage the reader to build his own puzzles and experiment with his own designs. Aesthetics, phychology, and mathematical considerations all factor into the definition of the quality of a puzzle.
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The Mathematics of Various Entertaining Subjects

Research in Recreational Math

Author: Jennifer Beineke,Jason Rosenhouse

Publisher: Princeton University Press

ISBN: 1400881331

Category: Mathematics

Page: 288

View: 5871

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The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books exploring puzzles and brainteasers, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects brings together authors from a variety of specialties to present fascinating problems and solutions in recreational mathematics. Contributors to the book show how sophisticated mathematics can help construct mazes that look like famous people, how the analysis of crossword puzzles has much in common with understanding epidemics, and how the theory of electrical circuits is useful in understanding the classic Towers of Hanoi puzzle. The card game SET is related to the theory of error-correcting codes, and simple tic-tac-toe takes on a new life when played on an affine plane. Inspirations for the book's wealth of problems include board games, card tricks, fake coins, flexagons, pencil puzzles, poker, and so much more. Looking at a plethora of eclectic games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.
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A Concise Dictionary of Mathematics

Author: Christopher Clapham

Publisher: Oxford University Press, USA

ISBN: 9780192861030

Category: Composition (Music)

Page: 203

View: 7231

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This invaluable resource will guide general readers, as well as students, through the often bewildering maze of equations and theorems encountered within the mathematical world. Providing succinct definitions and clear explanations to a wealth of terms, A Concise Oxford Dictionary of Mathematics also enables readers to make new discoveries as they browse and check cross-references. Along with serving as a trustworthy guide to the concepts and terminology of all those topics covered in pure mathematics courses today, it also contains entries on mathematics of more general interest and short biographical sketches of the great mathematicians. Explanatory figures and diagrams complement the text, making this reference volume all the more indispensable.
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Mathematical Byways in Ayling, Beeling and Ceiling

Author: Hugh ApSimon

Publisher: Oxford University Press, USA

ISBN: 9780192861375

Category: Mathematical recreations.

Page: 97

View: 7645

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Unique and highly original, Mathematical Byways is a work of recreational mathematics, a collection of ingenious problems, their even more ingenious solutions, and extensions of the problems--left unsolved here--to further stretch the mind of the reader. The problems are set within the framework of three villages--Ayling, Beeling, and Ceiling--their inhabitants, and the relationships (spacial and social) between them. The problems can be solved with little formal mathematical knowledge, although most require considerable thought and mental dexterity, and solutions are all clearly expounded in non-technical language. Stimulating and unusual, this book proves what Hugh ApSimon has known all along: mathematics can be fun!
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Hinged Dissections

Swinging and Twisting

Author: Greg N. Frederickson

Publisher: Cambridge University Press

ISBN: 9780521811927

Category: Mathematics

Page: 287

View: 6444

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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 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. For an added challenge, you can try using different kinds of hinges for twisting and flipping pieces. The author includes careful explanation of ingenious techniques, as well as puzzles and solutions for readers of all mathematical levels. If you remember any secondary school geometry, you are already on your way. 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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The Ins and Outs of Peg Solitaire

Author: John D. Beasley

Publisher: Oxford University Press, USA

ISBN: N.A

Category: Solitaire (Board game)

Page: 275

View: 4856

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For mathematical game enthusiasts, the 33-hole Peg Solitaire board presents many intriguing and difficult problems, far more fascinating than the simple problems set out in manufacturers' instructions, and behind these problems lies interesting mathematical theory. Beasley, an internationally known expert on Peg Solitaire, surveys the history of the game, shows how to play it simply and well, explains the theory behind it, and offers over 200 problems and their solutions in over 550 diagrams. Mathematical game fans aged twelve and over will find hours of enjoyment in this book.
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