对格拉斯曼和克利福德非凡作品的深切钦佩引导下的晶体对称性的新观点
New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford
摘要：
本文展示了如何开始与贾斯特斯格拉斯曼的工作，赫尔曼格拉斯曼是影响他的数学思想的结晶。H.格拉斯曼的Ausdehnungslehre反过来对W. K.克利福德在几何代数的起源。几何代数已经扩展到共形几何代数，它为现代计算机图形学提供了一个理想的框架。在这个框架内，一个新的三维晶体空间群的可视化已经创建。一系列钻石细胞的图像显示了这种新可视化的复杂之美。数学细节在附录中给出。
英文摘要：
This paper shows how beginning with Justus Grassmann's work, Hermann Grassmann was influenced in his mathematical thinking by crystallography. H. Grassmann's Ausdehnungslehre in turn had a decisive influence on W.K. Clifford in the genesis of geometric algebras. Geometric algebras have been expanded to conformal geometric algebras, which provide an ideal framework for modern computer graphics. Within this framework a new visualization of three-dimensional crystallographic space groups has been created. The complex beauty of this new visualization is shown by a range of images of a diamond cell. Mathematical details are given in an appendix.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
