ヒッツェル，エクハルト   HITZER, Eckhard   ヒッツェル, エクハルト    所属   国際基督教大学教養学部 アーツ・サイエンス学科    職種   上級准教授
言語種別	英語
発行・発表の年月	2010
形態種別	研究論文（国際会議プロシーディングス）
査読	査読あり
標題	New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford
執筆形態	単著
掲載誌名	From Past to Future: Graßmann's Work in Context, Graßmann Bicentennial Conference, September 2009
掲載区分	国外
出版社・発行元	Birkhaeuser, Basel, Switzerland
巻・号・頁	pp.413-422
著者・共著者	HITZER Eckhard
概要	This paper shows how beginning with Justus Grassmann's work, Hermann Grassmann was influenced in his mathematical thinking by crystal- lography. 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.