Search Results for "the-puzzling-world-of-polyhedral-dissections-recreations-in-mathematics"

Geometric Puzzle Design

Geometric Puzzle Design

  • Author: Stewart Coffin
  • Publisher: CRC Press
  • ISBN: 1568814992
  • Category: Mathematics
  • Page: 220
  • View: 4793
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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.

Geometric Puzzle Design

Geometric Puzzle Design

  • Author: Stewart Coffin
  • Publisher: A K PETERS
  • ISBN: 9781138427259
  • Category:
  • Page: N.A
  • View: 8590
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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.

CRC Concise Encyclopedia of Mathematics, Second Edition

CRC Concise Encyclopedia of Mathematics, Second Edition

  • Author: Eric W. Weisstein
  • Publisher: CRC Press
  • ISBN: 1420035223
  • Category: Mathematics
  • Page: 3252
  • View: 3588
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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 dedication of author Eric Weisstein to collecting, cataloging, and referencing mathematical facts, formulas, and definitions. He has now updated most of the original entries and expanded the Encyclopedia to include 1000 additional pages of illustrated entries. The accessibility of the Encyclopedia along with its broad coverage and economical price make it attractive to the widest possible range of readers and certainly a must for libraries, from the secondary to the professional and research levels. For mathematical definitions, formulas, figures, tabulations, and references, this is simply the most impressive compendium available.

Mathematical Snapshots

Mathematical Snapshots

  • Author: H. Steinhaus
  • Publisher: Courier Corporation
  • ISBN: 0486166481
  • Category: Mathematics
  • Page: 336
  • View: 7305
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Numerous photographs and diagrams explain mathematical phenomena in series of thought-provoking expositions. From simple puzzles to more advanced problems, topics include psychology of lottery players, new and larger prime numbers, and more. 391 illustrations.

Puzzles Old & New

Puzzles Old & New

How to Make and Solve Them

  • Author: Jerry Slocum,Jack Botermans,Carla van Splunteren,Tony Burrett
  • Publisher: N.A
  • ISBN: 9780295965796
  • Category: Games
  • Page: 160
  • View: 5190
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Shows a variety of antique and modern puzzles, including puzzle locks and rings, and folding, impossible object, vanish, dexterity, sequential movement, disentanglement, interlocking, and take-apart puzzles

Famous Puzzles of Great Mathematicians

Famous Puzzles of Great Mathematicians

  • Author: Miodrag Petkovi_
  • Publisher: American Mathematical Soc.
  • ISBN: 0821848143
  • Category: Mathematics
  • Page: 325
  • View: 1678
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This entertaining book presents a collection of 180 famous mathematical puzzles and intriguing elementary problems that great mathematicians have posed, discussed, and/or solved. The selected problems do not require advanced mathematics, making this book accessible to a variety of readers. Mathematical recreations offer a rich playground for both amateur and professional mathematicians. Believing that creative stimuli and aesthetic considerations are closely related, great mathematicians from ancient times to the present have always taken an interest in puzzles and diversions. The goal of this book is to show that famous mathematicians have all communicated brilliant ideas, methodological approaches, and absolute genius in mathematical thoughts by using recreational mathematics as a framework. Concise biographies of many mathematicians mentioned in the text are also included. The majority of the mathematical problems presented in this book originated in number theory, graph theory, optimization, and probability. Others are based on combinatorial and chess problems, while still others are geometrical and arithmetical puzzles. This book is intended to be both entertaining as well as an introduction to various intriguing mathematical topics and ideas. Certainly, many stories and famous puzzles can be very useful to prepare classroom lectures, to inspire and amuse students, and to instill affection for mathematics.

Puzzle Craft

Puzzle Craft

  • Author: Stewart T. Coffin
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematical recreations
  • Page: 100
  • View: 1889
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The Canterbury Puzzles

The Canterbury Puzzles

And Other Curious Problems

  • Author: Henry Ernest Dudeney
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematical recreations
  • Page: 194
  • View: 7158
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Connections

Connections

The Geometric Bridge Between Art and Science

  • Author: Jay Kappraff
  • Publisher: World Scientific
  • ISBN: 9789812811394
  • Category: Science
  • Page: 486
  • View: 3033
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The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in OC Mathematics, Chemistry, and Astronomy OCo Professional and ReferenceOCO in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition. Contents: Proportion in Architecture; Similarity; The Golden Mean; Graphs; Tilings with Polygons; Two-Dimensional Networks and Lattices; Polyhedra: Platonic Solids; Transformation of the Platonic Solids I; Transformation of the Platonic Solids II; Polyhedra: Space Filling; Isometries and Mirrors; Symmetry of the Plane. Readership: Polytechnic students, architects, designers, mathematicians and general readers."

The Universal Book of Mathematics

The Universal Book of Mathematics

From Abracadabra to Zeno's Paradoxes

  • Author: David Darling
  • Publisher: John Wiley & Sons
  • ISBN: 0471270474
  • Category: Mathematics
  • Page: 383
  • View: 4280
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Reference book on mathematics.

The Penguin Dictionary of Curious and Interesting Numbers

The Penguin Dictionary of Curious and Interesting Numbers

  • Author: David Wells
  • Publisher: Penguin
  • ISBN: 9780140261493
  • Category: Mathematics
  • Page: 231
  • View: 2380
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Provides information on numbers and what makes particular ones noteworthy

The Last Recreations

The Last Recreations

Hydras, Eggs, and Other Mathematical Mystifications

  • Author: Martin Gardner
  • Publisher: Springer Science & Business Media
  • ISBN: 0387258272
  • Category: Mathematics
  • Page: 392
  • View: 5692
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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.

Mathematics and Plausible Reasoning: Patterns of plausible inference

Mathematics and Plausible Reasoning: Patterns of plausible inference

  • Author: George Pólya
  • Publisher: Princeton University Press
  • ISBN: 9780691025100
  • Category: Mathematics
  • Page: 225
  • View: 7576
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A guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and guesses play an important part in even the most rigorously deductive science. He explains how solutions to problems can be guessed at; good guessing is often more important than rigorous deduction in finding correct solutions. Vol. II, on Patterns of Plausible Inference, attempts to develop a logic of plausibility. What makes some evidence stronger and some weaker? How does one seek evidence that will make a suspected truth more probable? These questions involve philosophy and psychology as well as mathematics.

Puzzles in Wood

Puzzles in Wood

Simple Patterns for Creating 45 Classics

  • Author: Edwin Mather Wyatt
  • Publisher: Fox Chapel Publishing Company Incorporated
  • ISBN: 1565233484
  • Category: Crafts & Hobbies
  • Page: 64
  • View: 3614
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This classic reference features 45 engaging puzzles to challenge a woodworker's hands and mind while providing hours of entertainment for adults and children alike. Projects include locked links, bewitching cubes, intricate banks and many more. 45 unique puzzle projects. Projects include bewitching cubes, caged balls, intricate banks, locked links, perplexing burrs and secret drawers. Finished pieces make great gifts.

A Fuller Explanation

A Fuller Explanation

The Synergetic Geometry of R. Buckminster Fuller

  • Author: Amy C. Edmondson
  • Publisher: Springer Science & Business Media
  • ISBN: 1468474855
  • Category: Mathematics
  • Page: 302
  • View: 2999
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In a broad sense Design Science is the grammar of a language of images rather than of words. Modern communication techniques enable us to transmit and reconstitute images without the need of knowing a specific verbal sequential language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multidimensional. Architectural renderings commonly show projections onto three mutually perpendicular planes, or consist of cross sections at differ ent altitudes representing a stack of floor plans. Such renderings make it difficult to imagine buildings containing ramps and other features which disguise the separation between floors; consequently, they limit the creativity of the architect. Analogously, we tend to analyze natural structures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures.

British Book News

British Book News

  • Author: N.A
  • Publisher: London
  • ISBN: N.A
  • Category: Literary Criticism
  • Page: N.A
  • View: 4801
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Hexaflexagons and Other Mathematical Diversions

Hexaflexagons and Other Mathematical Diversions

The First Scientific American Book of Puzzles and Games

  • Author: Martin Gardner
  • Publisher: University of Chicago Press
  • ISBN: 9780226282541
  • Category: Mathematics
  • Page: 200
  • View: 9276
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Offers puzzles, games and problems featuring matrixes, probability, topology, card tricks, paradoxes, and logic

Mathematics, Magic and Mystery

Mathematics, Magic and Mystery

  • Author: Martin Gardner
  • Publisher: Courier Corporation
  • ISBN: 0486801179
  • Category: Games & Activities
  • Page: 208
  • View: 3976
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Famed puzzle expert explains math behind a multitude of mystifying tricks: card tricks, stage "mind reading," coin and match tricks, counting out games, geometric dissections, etc. More than 400 tricks. 135 illustrations.

Professor Stewart's Cabinet of Mathematical Curiosities

Professor Stewart's Cabinet of Mathematical Curiosities

  • Author: Ian Stewart
  • Publisher: Profile Books
  • ISBN: 1847651283
  • Category: Mathematics
  • Page: 320
  • View: 1724
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School maths is not the interesting part. The real fun is elsewhere. Like a magpie, Ian Stewart has collected the most enlightening, entertaining and vexing 'curiosities' of maths over the years... Now, the private collection is displayed in his cabinet. There are some hidden gems of logic, geometry and probability -- like how to extract a cherry from a cocktail glass (harder than you think), a pop up dodecahedron, the real reason why you can't divide anything by zero and some tips for making money by proving the obvious. Scattered among these are keys to unlocking the mysteries of Fermat's last theorem, the Poincar Conjecture, chaos theory, and the P/NP problem for which a million dollar prize is on offer. There are beguiling secrets about familiar names like Pythagoras or prime numbers, as well as anecdotes about great mathematicians. Pull out the drawers of the Professor's cabinet and who knows what could happen...

Entertaining Mathematical Puzzles

Entertaining Mathematical Puzzles

  • Author: Martin Gardner
  • Publisher: Courier Corporation
  • ISBN: 9780486252117
  • Category: Juvenile Nonfiction
  • Page: 112
  • View: 6595
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Playing with mathematical riddles can be an intriguing and fun-filled pastime — as popular science writer Martin Gardner proves in this entertaining collection. Puzzlists need only an elementary knowledge of math and a will to resist looking up the answer before trying to solve a problem. Written in a light and witty style, Entertaining Mathematical Puzzles is a mixture of old and new riddles, grouped into sections that cover a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles, and more. The probability section, for example, points out that everything we do, everything that happens around us, obeys the laws of probability; geometry puzzles test our ability to think pictorially and often, in more than one dimension; while topology, among the "youngest and rowdiest branches of modern geometry," offers a glimpse into a strange dimension where properties remain unchanged, no matter how a figure is twisted, stretched, or compressed. Clear and concise comments at the beginning of each section explain the nature and importance of the math needed to solve each puzzle. A carefully explained solution follows each problem. In many cases, all that is needed to solve a puzzle is the ability to think logically and clearly, to be "on the alert for surprising, off-beat angles...that strange hidden factor that everyone else had overlooked." Fully illustrated, this engaging collection will appeal to parents and children, amateur mathematicians, scientists, and students alike, and may, as the author writes, make the reader "want to study the subject in earnest" and explains "some of the inviting paths that wind away from the problems into lusher areas of the mathematical jungle." 65 black-and-white illustrations.