关于四维空间120胞形和600胞形的图视和数值新结果

Graphical and Numerical New Results on the 120－ Cell and 600－ Cell in E^4

论述了 N维空间有限旋转群理论 ,从数学基础出发 ,建立了四维空间直角坐标系在二维空间的投影模型。并运用二维绘图系统作出了四维空间最复杂的 120胞形和 600胞形的二维投影全貌图 ,为正确合理显示四变量实际问题的二维投影模型创造了条件和提供了范例。

In this paper, the theory of N－ dimensional finite rotation group is expounded. Starting from the mathematical basic, the author established the 2－ dimensional projection model of 4－ dimensional rectangular coordinate system, and used 2－ dimensional drawing system to draw the full views of 2－ dimensional projections of most complicated 120－ Cell and 600－ Cell in E4. It offered examples and created conditions for displaying correctly 2－ dimensional projection models of 4 variables actual problems.