Revisit of "Geometric Exercise in Paper Folding" from a Viewpoint of Computational Origami
Revisit of "Geometric Exercise in Paper Folding" from a Viewpoint of Computational Origami
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从计算折纸的角度重温“折纸中的几何练习”
DOI：
10.1109/synasc.2016.017
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Tetsuo Ida
中科院分区：
文献类型：
--
作者：
Tetsuo Ida;Stephen Watt;Tetsuo Ida
我们重新审视T. Sundara Row关于几何学的折纸于1893年出版。123年后，这本书的意义仍然存在。本说明旨在从当前折纸的数学理论的角度简要描述Sundara Row的杰作，并展示Sundara Row在他的书中绘制的各种几何形状如何通过现代计算折纸工具产生。此外，该工具使读者能够通过简单的脚本语言操纵所生成形状的图形和内部代数表示，以及对Sundara Row在书中写下的引理和定理进行代数证明。
We revisit the seminal classical work of T. Sundara Row on the geometry in paper folding published in 1893. After 123 years, the significance of the book remains. This note is intended to provide a short description of Sundara Row's masterpiece from the viewpoint of the current mathematical theory of origami and show how various geometrical shapes that Sundara Row drew in his book can be produced by a modern tool of computational origami. Furthermore, the tool enables a reader to manipulate, by a simple scripting language, graphics of the produced shapes and the internal algebraic representations, as well as to perform algebraic proofs of the lemmas and theorems that Sundara Row wrote down in his book.