HITZER, Eckhard
Senior Associate Professor Division of Arts and Sciences, College of Liberal Arts, International Christian University |
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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 Type | Another 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). |