Condensed Matter

   

Symmetry of Orthorhombic Materials and Interactive 3D Visualization in Geometric Algebra

Authors: Daisuke Ichikawa, Eckhard Hitzer

The Space Group Visualizer is the main software that we use in this work to show the symmetry of orthorhombic space groups as interactive computer graphics in three dimensions. For that it is necessary to know the features and the classification of orthorhombic point groups and space groups. For representing the symmetry transformations of point groups and space groups, we employ (Clifford) geometric algebra. This algebra results from applying the associative geometric product to the vectors of a vector space. Some major features of the software implementation are discussed. Finally a brief overview of interactive functions of the Space Group Visualizer is given.

Comments: 11 Pages. 12 figures, 4 tables. Proc. of the Int. Symp. on Adv. Mechanical and Power Engineering 2007, between Univ. of Fukui (Japan), Pukyong Nat. Univ. (Korea) and Univ. of Shanghai for Science and Technology (China), 22--25 Nov. 2007, 302-312 (2007).

Download: PDF

Submission history

[v1] 2013-06-17 03:00:32

Unique-IP document downloads: 287 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus