Geometric Dissections PDF Download

Author: Harry Lindgren
Publisher:
ISBN:
Category : Geometric dissections
Languages : en
Pages : 184

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Author: Harry Lindgren
Publisher:
ISBN:
Category : Art
Languages : en
Pages : 224

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Author: Greg N. Frederickson
Publisher: Cambridge University Press
ISBN: 9780521525824
Category : Mathematics
Languages : en
Pages : 334

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A comprehensive, beautifully illustrated survey accessible to anyone familiar with high school geometry.

Author: Greg N Frederickson
Publisher: World Scientific
ISBN: 981322049X
Category : Mathematics
Languages : en
Pages : 429

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'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: Jin Akiyama
Publisher: Springer
ISBN: 3540444009
Category : Mathematics
Languages : en
Pages : 292

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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.

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

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

Author: Boris Aronov
Publisher: Springer Science & Business Media
ISBN: 3642555667
Category : Mathematics
Languages : en
Pages : 847

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An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.

Author: Library of Congress
Publisher:
ISBN:
Category : Subject headings, Library of Congress
Languages : en
Pages : 1242

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Author: Greg N. Frederickson
Publisher: CRC Press
ISBN: 1439865892
Category : Mathematics
Languages : en
Pages : 320

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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: Library of Congress. Cataloging Policy and Support Office
Publisher:
ISBN:
Category : Subject headings, Library of Congress
Languages : en
Pages : 1688

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