Geometric Folding Algorithms: Linkages, Origami, Polyhedra (Paperback)
暫譯: 幾何摺疊演算法:連桿、摺紙、多面體 (平裝本)

Erik D Demaine

  • 出版商: Cambridge
  • 出版日期: 2008-09-15
  • 售價: $2,900
  • 貴賓價: 9.5$2,755
  • 語言: 英文
  • 頁數: 488
  • 裝訂: Paperback
  • ISBN: 0521715229
  • ISBN-13: 9780521715225
  • 相關分類: Algorithms-data-structures
  • 海外代購書籍(需單獨結帳)

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商品描述

How can linkages, pieces of paper, and polyhedra be folded? The authors present hundreds of results and over 60 unsolved 'open problems' in this comprehensive look at the mathematics of folding, with an emphasis on algorithmic or computational aspects. Folding and unfolding problems have been implicit since Albrecht Dürer in the early 1500s, but have only recently been studied in the mathematical literature. Over the past decade, there has been a surge of interest in these problems, with applications ranging from robotics to protein folding. A proof shows that it is possible to design a series of jointed bars moving only in a flat plane that can sign a name or trace any other algebraic curve. One remarkable algorithm shows you can fold any straight-line drawing on paper so that the complete drawing can be cut out with one straight scissors cut. Aimed primarily at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from high school students to researchers.

商品描述(中文翻譯)

如何折疊連結、紙張和多面體?作者在這本全面探討折疊數學的書中,呈現了數百個結果和超過60個未解的「開放問題」,並強調了算法或計算方面的內容。折疊和展開問題自1500年代初期的阿爾布雷希特·杜勒(Albrecht Dürer)以來就已經隱含存在,但直到最近才在數學文獻中受到研究。在過去十年中,這些問題引起了大量的興趣,應用範圍從機器人技術到蛋白質折疊。證明顯示,可以設計一系列僅在平面上移動的關節棒,來簽名或描繪任何其他代數曲線。一個顯著的算法顯示,您可以將任何直線圖形折疊在紙上,使得整個圖形可以用一刀剪刀切割出來。本書主要針對數學或計算機科學的高年級本科生和研究生,並以豐富的插圖吸引廣泛的讀者群,從高中生到研究人員。