Flexagons Inside Out

Author: Les Pook

Publisher: Cambridge University Press

ISBN: 9780521525749

Category: Mathematics

Page: 170

View: 1685

Photocopy and make flexagon nets plus explanation of maths at recreational level.

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: 8413

Offers puzzles, games and problems featuring matrixes, probability, topology, card tricks, paradoxes, and logic

Serious Fun with Flexagons

A Compendium and Guide

Author: L.P. Pook

Publisher: Springer Science & Business Media

ISBN: 9789048125036

Category: Mathematics

Page: 330

View: 7623

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.

Serious Fun with Flexagons

A Compendium and Guide

Author: L.P. Pook

Publisher: Springer Science & Business Media

ISBN: 9789048125036

Category: Mathematics

Page: 330

View: 3953

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.

Fantastic Flexagons

Hexaflexagons and Other Flexible Folds to Twist and Turn

Author: Nick Robinson

Publisher: Racehorse Publishing

ISBN: 9781944686109

Category: Juvenile Nonfiction

Page: 80

View: 6663

Are you ready to flip out? Hexaflexagons are six-sided, flat paper models that can be made to reveal hidden images through a series of flexes and folds. Flexagons were first introduced in a column written by Martin Gardner for Scientific American. From there, people started folding and figuring out creative ways to craft these interesting origami-like objects. Included in this delightful book are instructions and material to create hexaflexagons, tri-tetra flexagons, cubes, flexacubes, and more! Flexing kaleidocycles are shapes formed by taking several tetrahedra (four-sided 3D shapes) and joining their edges to form a ring, which can then be rotated so that it turns inside out to display a multitude different colors, shapes, and designs! This book contains: * A brief introduction on the history of hexaflexagons * Instructions on how to make 13 different fun flexagon models * 40 pages of easy tear-out pages with pieces to assemble your hexaflexagons People are still discovering new ways to innovate with these enjoyable creations--so with some study and practice, you may be able to come up with a unique design and enter the pages of flexagon history! All you need to do is to cut out and assemble the various models in this book to create the most intriguing and entertaining designs available. Start folding your flexagons now!

The Magic of Flexagons

Manipulative Paper Puzzles to Cut Out and Make

Author: David Mitchell

Publisher: Tarquin

ISBN: 9781899618286

Category: Mathematical recreations

Page: 32

View: 988

Flexagons are curious objects made by folding paper in special ways. Hidden inside a flexagon, and there are a number to cut out and make here, are a number of concealed faces and the challenge is to discover how to flex them into view.

The Strange Case of Origami Yoda

Author: Tom Angleberger

Publisher: Abrams

ISBN: 1613124511

Category: Juvenile Fiction

Page: 160

View: 6138

In this funny, uncannily wise portrait of the dynamics of a sixth-grade class and of the greatness that sometimes comes in unlikely packages, Dwight, a loser, talks to his classmates via an origami finger puppet of Yoda. If that weren’t strange enough, the puppet is uncannily wise and prescient. Origami Yoda predicts the date of a pop quiz, guesses who stole the classroom Shakespeare bust, and saves a classmate from popularity-crushing embarrassment with some well-timed advice. Dwight’s classmate Tommy wonders how Yoda can be so smart when Dwight himself is so clueless. With contributions from his puzzled classmates, he assembles the case file that forms this novel. F&P Level: T F&P Genre: RF

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: 1657

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.

Flexagons

Origami Flexagon Paper Folding

Author: Paul Jackson

Publisher: N.A

ISBN: 9781482569995

Category: Crafts & Hobbies

Page: 42

View: 3899

Origami Flexagons, paper folding. 14 models by Paul Jackson

The Paper Puzzle Book

All You Need is Paper!

Author: Ilan Garibi,David Goodman,Yossi Elran

Publisher: World Scientific Publishing Company

ISBN: 9789813202405

Category: Games & Activities

Page: 130

View: 6479

All the puzzles inside are made out of paper from simple teasers to extreme brain workouts!

Martin Gardner in the Twenty-First Century

Author: Michael Henle,Brian Hopkins

Publisher: MAA

ISBN: 0883859130

Category: Mathematics

Page: 308

View: 4231

The legacy of Martin Gardner is celebrated in this broad collection of articles. Essential reading for all recreational mathematicians.

Piano-Hinged Dissections

Time to Fold!

Author: Greg N. Frederickson

Publisher: CRC Press

ISBN: 1439865892

Category: Mathematics

Page: 320

View: 1399

A dissection involves cutting a polygon into pieces in such a way that those pieces form another polygon; for a hinged dissection, the pieces must be attached by hinges. A piano hinge is "a long narrow hinge with a pin running the entire length of its joint." So, unlike regular hinged dissections, which swing or twist (around single point of hinge), piano-hinged dissections fold along an edge. This book discusses the history, methods, and variations of these dissections and is rich with illustrations that clearly depict the cuts of the dissections and three-dimensional simulations of the dissections in the process of being folded. A CD that includes video recordings of select dissections being transformed accompanies the book.

Impossible Folding Puzzles and Other Mathematical Paradoxes

Author: Gianni A. Sarcone,Marie-Jo Waeber

Publisher: Courier Corporation

ISBN: 0486493512

Category: Games

Page: 112

View: 7118

Do all problems have solutions? Is complexity synonymous with difficulty? This original collection of mathematical puzzles and paradoxes proves that things aren't always what they seem! Readers will discover that nothing is as easy or as difficult as it looks and that puzzles can have one, several, or no solutions. The fun-filled puzzles begin with The Tricky Hole, a challenge that involves pushing a large coin through a small hole in a sheet of paper without ripping or making any cuts in the paper. Advance to the Elastic Playing Card, in which it's possible to cut a hole into a playing card big enough for someone to climb through. Other incredible puzzles include Elephants and Castles, Trianglized Kangaroo, Honest Dice and Logic Dice, Mind-reading Powers, and dozens more. Complete solutions explain the mathematical realities behind the fantastic-sounding challenges.

Cut and Fold Techniques for Promotional Materials

Author: Paul Jackson

Publisher: Laurence King Publishing

ISBN: 9781786272966

Category: Design

Page: 144

View: 7659

Cut and Fold Techniques for Promotional Materials is a unique collection of over 40 attention-grabbing cut-and-fold designs that when printed and illustrated form memorable give-aways to promote and advertise services and products. The book provides a one-stop source for novelty promotional materials, many appearing in print for the first time. Some designs are interactive toys that turn inside out or reveal hidden faces when played with, others are more practical, offering ingenious ways to fold-up letters, brochures, and posters, or to create novelty envelopes and leaflets. All the designs will enhance a message or presentation, grabbing attention in ways that simple printing can never achieve. Following the elegant, easy-to-follow style of Paul Jackson's other titles for Laurence King, Cut and Fold Techniques for Promotional Materials is an essential resource for marketing professionals and design students, and an inspirational guide to anyone looking to enhance the presentation of their product or service.

100+ Bindings, Structures & Forms

Author: Alisa J. Golden

Publisher: Lark Books

ISBN: 9781600595875

Category: Crafts & Hobbies

Page: 256

View: 9497

Offers instructions on folding, gluing, and sewing handmade books in a variety of shapes and styles.

A Mathematical Tapestry

Demonstrating the Beautiful Unity of Mathematics

Author: Peter Hilton,Jean Pedersen

Publisher: Cambridge University Press

ISBN: 1139489070

Category: Mathematics

Page: N.A

View: 7298

This easy-to-read 2010 book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth.

Origami\${}^6\$: II. Technology, Art, Education

Author: Koryo Miura,Toshikazu Kawasaki,Tomohiro Tachi,Ryuhei Uehara,Robert J. Lang,Patsy Wang-Iverson

Publisher: American Mathematical Soc.

ISBN: 1470418762

Category: Origami

Page: 376

View: 4891

is a unique collection of papers illustrating the connections between origami and a wide range of fields. The papers compiled in this two-part set were presented at the 6th International Meeting on Origami Science, Mathematics and Education (10-13 August 2014, Tokyo, Japan). They display the creative melding of origami (or, more broadly, folding) with fields ranging from cell biology to space exploration, from education to kinematics, from abstract mathematical laws to the artistic and aesthetics of sculptural design. This two-part book contains papers accessible to a wide audience, including those interested in art, design, history, and education and researchers interested in the connections between origami and science, technology, engineering, and mathematics. Part 2 focuses on the connections of origami to education and more applied areas of science: engineering, physics, architecture, industrial design, and other artistic fields that go well beyond the usual folded paper.

MathHorizons

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 3775

Puzzle It Out

Cubes, Groups and Puzzles

Author: John Ewing,Czes Kosniowski

Publisher: CUP Archive

ISBN: 9780521289245

Category: Mathematics

Page: 64

View: 369

Explains the mathematical theory of groups and how it can be used to solve Rubik's Cube and similar puzzles

Origami, Eleusis, and the Soma Cube

Martin Gardner's Mathematical Diversions

Author: Martin Gardner

Publisher: Cambridge University Press

ISBN: 0521756103

Category: Mathematics

Page: 234

View: 5781

Martin Gardner continues to delight. He introduces readers to the Generalized Ham Sandwich Theorem, origami, digital roots, magic squares, the mathematics of cooling coffee, the induction game of Eleusis, Dudeney puzzles, the maze at Hampton Court Palace, and many more mathematical puzzles and principles. Origami, Eleusis, and the Soma Cube is the second volume in Martin Gardner's New Mathematical Library, based on his enormously popular Scientific American columns. Now the author, in consultation with experts, has added updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries, to challenge and fascinate a new generation of readers.