Tuesday, June 11, 2013

1306.2124 (Eckhard Hitzer)

New views of crystal symmetry guided by profound admiration of the
extraordinary works of Grassmann and Clifford
   [PDF]

Eckhard Hitzer
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.
View original: http://arxiv.org/abs/1306.2124

No comments:

Post a Comment