Piano-Hinged Dissections PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Piano-Hinged Dissections PDF full book. Access full book title Piano-Hinged Dissections by Greg N. Frederickson. Download full books in PDF and EPUB format.
Author: Greg N. Frederickson
Publisher: CRC Press
ISBN: 1439865892
Category : Mathematics
Languages : en
Pages : 320
Get Book Here
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)
Author: Greg N. Frederickson
Publisher: CRC Press
ISBN: 1439865892
Category : Mathematics
Languages : en
Pages : 320
Get Book Here
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)
Author: Greg N. Frederickson
Publisher: Cambridge University Press
ISBN: 9780521811927
Category : Mathematics
Languages : en
Pages : 314
Get Book Here
Book Description
These novel and original dissections will be a gold mine for math puzzle enthusiasts and for math educators.
Author: Greg N. Frederickson
Publisher: Cambridge University Press
ISBN: 9780521525824
Category : Mathematics
Languages : en
Pages : 334
Get Book Here
Book Description
A comprehensive, beautifully illustrated survey accessible to anyone familiar with high school geometry.
Author: Harry Lindgren
Publisher:
ISBN:
Category : Geometric dissections
Languages : en
Pages : 184
Get Book Here
Book Description
Author: Erik D. Demaine
Publisher: Cambridge University Press
ISBN: 1107394090
Category : Computers
Languages : en
Pages : 388
Get Book Here
Book Description
Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.
Author: Greg N Frederickson
Publisher: World Scientific
ISBN: 981322049X
Category : Mathematics
Languages : en
Pages : 429
Get Book Here
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!
Author: H. E. Dudeney
Publisher: Courier Corporation
ISBN: 0486425584
Category : Games & Activities
Languages : en
Pages : 260
Get Book Here
Book Description
This book includes 110 puzzles, not as individual problems but as incidents in connected stories. The first 31 are amusingly posed by pilgrims in Chaucer's Canterbury Tales. Additional puzzles are presented using different characters. Many require only the ability to exercise logical or visual skills; others offer a stimulating challenge to the mathematically advanced.
Author: John P. Snyder
Publisher: University of Chicago Press
ISBN: 0226767477
Category : History
Languages : en
Pages : 384
Get Book Here
Book Description
Cartographers have long grappled with the impossibility of portraying the earth in two dimensions. To solve this problem, mapmakers have created map projections. This work discusses and illustrates the known map projections from before 500BC to the present, with facts on their origins and use.
Author: Steven Giegerich
Publisher: Simon and Schuster
ISBN: 074321823X
Category : Medical
Languages : en
Pages : 280
Get Book Here
Book Description
A fascinating exploration of the medical student's most decisive course -- gross anatomy -- and of the intellectual, emotional and spiritual transformation that turns young men and women into doctors Medical Gross and Developmental Anatomy is a course every medical student dreads. As one future physician told the author, Steve Giegerich, passing the notoriously difficult course is "paying your dues for medicine. It's the bridge you have to cross if you want to become a doctor." More students leave medical school during this course than any other. Now Body of Knowledge puts readers in the classroom as potential doctors come face-to-face with their first human cadaver and dissects the factors that determine whether they succeed or fail. In January 1999, 181 students at the University of Medicine and Dentistry, Newark, began a course in gross anatomy. Among them were Sherry Ikalowych, a former nurse and mother of four; Jennifer Hannum, an ultracompetitive jock; Udele Tagoe, a determined Duke graduate of Ghanian descent; and Ivan Gonzalez, a Nicaraguan refugee and unlikely medical student. For these four lab partners, Tom Lewis, the cadaver lying on the stainless steel table, remains anonymous during dissection; but for the reader, Lewis springs to life. As the students grapple with love, hate, power and awe, Giegerich explores Lewis's life and his generous decision to donate his body to science. Ultimately, as the students gain reverence for medicine, they too develop gratitude for Lewis's thoughtful gift.
Author: Les Pook
Publisher: Cambridge University Press
ISBN: 9780521525749
Category : Crafts & Hobbies
Languages : en
Pages : 186
Get Book Here
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.
