An International Collaboration to Develop the Mathematical Visualization Tool 3D-Filmstrip into a Resource for Supplementing Mathematics Courses and Curricula

数学科学(21)。该项目正在开发一套扩展的特点和功能的数学可视化程序，3D-电影胶片。项目任务不仅包括为软件本身编写适当的文档，更重要的是为它用于可视化的数学对象编写适当的文档；改善程序的脚本化能力，既增强其与其他运行程序(例如，网络服务器、数据库程序等)的通信能力。并促进将其用作课程补充的自动化；制作更多的格式交换软件，以便使用3D胶片创建的对象可以在其他程序(例如数学、Maple、VRML)中进一步处理和查看，反之亦然；并改进该程序的跨平台功能，特别是使更多的功能可在网络上使用。在不同的教育级别，该方案正在进行几项与数学科学课程相结合的试点工作。这项工作也为两套与3D胶片紧密结合的本科生水平的“课堂笔记”的写作提供了指导，一套是关于曲线和曲面的理论，另一套是关于晶格模型的。

Mathematical Sciences (21). This project is developing an expanded set of features and functionality of a mathematical visualization program, 3D-Filmstrip. Project tasks include writing appropriate documentation, not only for the software itself but more importantly for the mathematical objects it is used to visualize; improving the scriptability of the program, both to enhance its ability to communicate with other running programs (e.g., web-servers, database programs, etc.) and also to facilitate the automation of its use as a curriculum supplement; producing additional format interchange software, so that objects created using 3D-Filmstrip can be further processed and viewed in other programs (e.g., Mathematica, Maple, VRML) and vice versa; and improving the cross-platform features of the program, in particular making more of its features available over the Web. Several pilot integrations of the program into the mathematical sciences curriculum are taking place at various educational levels. This work is also informing the writing of two sets of undergraduate level "Lecture Notes" tightly coupled to 3D-Filmstrip, one on the theory of curves and surfaces, and the second on lattice models.