Creating polyhedral models by computer

Creating polyhedral models by computer
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通过计算机创建多面体模型

DOI:
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发表时间:
1997
期刊:
影响因子:
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通讯作者:
A. Nishioka
A. Nishioka
中科院分区:
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文献类型:
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作者:
M. Eisenberg;A. Nishioka

文献摘要

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本文介绍了一种名为HyperGami的计算机应用程序,允许用户设计,探索,装饰和研究各种各样的纸多面体模型。在结构上,HyperGami是一个“可编程设计环境”,包括直接操作界面以及基于Scheme语言的域丰富编程环境;因此,该应用程序旨在为几何学学生提供访问,同时为长期或专家用户(如专业数学家和设计师)提供具有挑战性的项目。在本文的过程中,我们描述了HyperGami接口和语言;说明了各种“自定义多面体”的建设;讨论了我们的初步经验,使用该系统与中学生的工作结果;并主张在教育设计环境中嵌入编程语言的效用,如这一个。
This paper describes a computer application named HyperGami that permits users to design, explore, decorate, and study a rich variety of paper polyhedral models. In structure, HyperGami is a "programmable design environment", including both a direct manipulation interface as well as a domain-enriched programming environment based on the Scheme language; the application is thus designed to be accessible to students of geometry while providing challenging projects for long-term or expert users (such as professional mathematicians and designers). In the course of this paper, we describe the HyperGami interface and language; illustrate the construction of "customized polyhedra" of various sorts; discuss the results of our initial experiences using the system in working with middle-school students; and argue for the utility of embedding programming languages in educational design environments such as this one.