Development of 3D Solid Modeler and its Contents for Education of Mathematics

开发了用于画法几何和计算机图形学教学的三维实体造型软件。采用边界表示法和翼边法作为实体模型的描述方法。开发的实体建模器可以通过执行文本格式的命令行来创建三维实体模型。结合了13种以上的实体模型，构建了实体模型。开发的软件具有边式、面式、透视式、平行式、三面式等150多种显示方式。该软件增加了三维模型到板材的开发和数学建模的功能，并在东京电工大学和两所小学进行了画法几何的实践。学生们对几何学感兴趣，并喜欢三维结构的建模。

An 3D solid modeling software has been developed for the education of the descriptive geometry and computer graphics. The boundary representation and the winged-edges method have been adopted as a description method of solid model. The developed solid modeler can create a 3D solid model by executing the command lines of text format. Combining more than 13 kinds of primitive models, the solid model is constructed. The developed software has several kinds of display modes more than 150,such as the edge-type, the surface-type, the perspective and parallel views, three faces and so on. The fucntions of the development of 3D-model onto sheet and the modeling with the mathematical functions were added on the software.The practice of descriptive geometry with the software had been carried out in Tokyo Denki University and two elementary schools. The students were interested in the geometry and enjoyed the modeling of 3D structures.