Piano-Hinged Dissections

Piano-Hinged Dissections PDF Author: Greg N. Frederickson
Publisher: CRC Press
ISBN: 1439865892
Category : Mathematics
Languages : en
Pages : 320

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Book Description
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

Piano-Hinged Dissections PDF Author: Greg N. Frederickson
Publisher: CRC Press
ISBN: 1439865892
Category : Mathematics
Languages : en
Pages : 320

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Book Description
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)

Hinged Dissections

Hinged Dissections PDF Author: Greg N. Frederickson
Publisher: Cambridge University Press
ISBN: 9780521811927
Category : Mathematics
Languages : en
Pages : 314

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Book Description
These novel and original dissections will be a gold mine for math puzzle enthusiasts and for math educators.

Discrete and Computational Geometry

Discrete and Computational Geometry PDF Author: Jin Akiyama
Publisher: Springer Science & Business Media
ISBN: 3540207767
Category : Mathematics
Languages : en
Pages : 292

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Book Description
This book constitutes the thoroughly refereed post-proceedings of the Japanese Conference on Discrete Computational Geometry, JCDCG 2002, held in Tokyo, Japan, in December 2002. The 29 revised full papers presented were carefully selected during two rounds of reviewing and improvement. All current issues in discrete algorithmic geometry are addressed.

Tribute to a Mathemagician

Tribute to a Mathemagician PDF Author: Barry Cipra
Publisher: CRC Press
ISBN: 1439864799
Category : Mathematics
Languages : en
Pages : 309

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Book Description
The tradition of a publication based on the Gathering for Gardner continues with this new carefully selected and edited collection in which Martin Gardner and friends inspire and entertain. The contributors to this volume---virtually a list of Who's Who in the World of Puzzles---trace their inspiration to Martin Gardner's puzzle column in Scientifi

Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections!

Ernest Irving Freese's Author: Greg N Frederickson
Publisher: World Scientific
ISBN: 981322049X
Category : Mathematics
Languages : en
Pages : 429

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Book Description
'Everyone interested in geometric dissections, and this kind of puzzles, either mathematically or recreationally will embrace this publication. But also the readers interested in the history and certainly those who became curious about this mystery man and his manuscript, after reading Frederickson’s 2006 book, will be fully satisfied with this respectful reproduction eventually made available for a general public.'European Mathematical Society'Ernest Irving Freese's Geometric Transformations does not just uncover a mathematical gem. It is also a piece of art and a mind-puzzling set of ingenious dissections done by a master of architectural drawings and amateur mathematician. It is a practical book that shows the beauty of dissection and how we can get from a polygon to another by cutting it to pieces and recollect them in some special way. The book is written in a very elegant style, and nicely presented. Freese’s manuscript was photographed and wasn’t altered in any way — this preserved its beauty. Freese’s drawing shows ingenuity and it shows how meticulous he was. For those people who are interested in geometry or in geometric dissections and for those who admire puzzles and recreational mathematics this book is a must.' (See Full Review)MAA ReviewsA geometric dissection is a cutting of a geometric figure (such as a regular polygon, or a star, or a cross) into pieces that we can rearrange to form another geometric figure. The best dissections are beautiful and possess economy (few pieces), symmetry, or hingeability. They are often challenging to discover.Ernest Irving Freese was an architect who lived and worked in Los Angeles until his death in 1957. Shortly before he passed away, he completed a 200-page manuscript on geometric dissection, the first book-length treatment on that subject. Freese included elegant drawings of dissections that were both original and clever. After his death the manuscript lay forgotten in his former house until Greg Frederickson set in motion its recovery in 2003. What a treat that it was rescued!Frederickson's book sketches a history of geometric dissections and a biography of Freese, followed by a refurbished copy of Freese's manuscript interleaved with a commentary that highlights Freese's major contributions as well as singular improvements made by Frederickson and others after Freese.This book introduces Freese and his creations to math puzzle enthusiasts, by way of his engaging manuscript, his wild adventures, and his lovely dissections. Frederickson also includes remarkable designs that improve on Freese's work, and packs this book with nifty illustrations and tidbits that may well leave you speechless!

Knots and Borromean Rings, Rep-Tiles, and Eight Queens

Knots and Borromean Rings, Rep-Tiles, and Eight Queens PDF Author: Martin Gardner
Publisher: Cambridge University Press
ISBN: 0521756138
Category : Mathematics
Languages : en
Pages : 287

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Book Description
Find new twists on knotted molecules, the hangman's paradox, cat's cradle, gambling, peg solitaire, pi and e in this book.

Discrete and Computational Geometry

Discrete and Computational Geometry PDF Author:
Publisher:
ISBN:
Category : Combinatorial geometry
Languages : en
Pages : 310

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Book Description


Tilings and Patterns

Tilings and Patterns PDF Author: Branko Grünbaum
Publisher: Courier Dover Publications
ISBN: 0486469816
Category :
Languages : en
Pages : 723

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Book Description


Flexagons Inside Out

Flexagons Inside Out PDF Author: Les Pook
Publisher: Cambridge University Press
ISBN: 9780521525749
Category : Crafts & Hobbies
Languages : en
Pages : 186

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Book Description
Flexagons are hinged polygons that have the intriguing property of displaying different pairs of faces when they are flexed. Workable paper models of flexagons are easy to make and entertaining to manipulate. Flexagons have a surprisingly complex mathematical structure and just how a flexagon works is not obvious on casual examination of a paper model. Flexagons may be appreciated at three different levels. Firstly as toys or puzzles, secondly as a recreational mathematics topic and finally as the subject of serious mathematical study. This book is written for anyone interested in puzzles or recreational maths. No previous knowledge of flexagons is assumed, and the only pre-requisite is some knowledge of elementary geometry. An attractive feature of the book is a collection of nets, with assembly instructions, for a wide range of paper models of flexagons. These are printed full size and laid out so they can be photocopied.

Martin Gardner in the Twenty-First Century

Martin Gardner in the Twenty-First Century PDF Author: Michael Henle
Publisher: American Mathematical Soc.
ISBN: 1614448019
Category : Education
Languages : en
Pages : 312

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Book Description
Martin Gardner enormously expanded the field of recreational mathematics with the Mathematical Games columns he wrote for Scientific American for over 25 years and the more than 70 books he published. He also had a long relationship with the Mathematical Association of America, publishing articles in MAA journals right up to his death in 2010. This book collects the articles Gardner wrote for the MAA in the twenty-first century, together with other articles the MAA published from 1999 to 2012 that spring from and comment on his work.