HITZER, Eckhard

   Senior Associate Professor

   Division of Arts and Sciences, College of Liberal Arts, International Christian University
Language English
Publication Date 2010
Type Research Paper (Scientific Journal)
Title Interactive 3D Space Group Visualization with CLUCalc and the Clifford Geometric Algebra Description of Space Groups
Contribution Type Joint Work
Journal Adv. Appl. Clifford Alg.
Journal TypeAnother Country
Publisher Birkhaeuser, Basel, Switzerland.
Volume, Issue, Pages 20(3-4),pp.631-658
Responsible for Most of text and computations.
Author and coauthor HITZER Eckhard, C. Perwass
Details A new interactive software tool is described, that visualizes 3D space group symmetries. The software computes with Clifford (geometric) algebra. The space group visualizer (SGV) is a script for the open source visual CLUCalc, which fully supports geometric algebra computation. Selected generators (Hestenes and Holt, JMP, 2007) form a multivector generator basis of each space group. The approach corresponds to an algebraic implementation of groups generated by reflections (Coxeter and Moser, 4th ed., 1980).