E.M.S. Hitzer, L. Redaelli
Play with Geometry - Animated and Interactive, Free, Instant Access, Online Geometric Algebra Java Applets
Proceedings of Fukui University International Congress 2002, International Symposium on Advanced Mechanical Engineering, Workshop on Mechanical Engineering between Fukui-Pukyong National Universities, 11-13 Sep. 2002, pp. 7-12 (2002).
Abstract: Conventional illustrations of elementary relations and physical applications of geometric algebra are helpful, but restricted in communicating full generality and time dependence. The main restrictions are one special perspective in each graph and the static character of such illustrations. Several attempts have been made to overcome such restrictions. But up till now very little animated and interactive, free, instant access, online material is available. This talk presents therefore a set of well over 60 newly developed (freely online accessible) JAVA applets. These applets range from the elementary concepts of vector, bivector, outer product and rotations to triangle relationships, oscillations and polarized waves. A special group of 21 applets illustrates three geometrically different approaches to the representation of conics; and even more ways to describe ellipses. Finally Clifford's circle chain theorem is illustrated for two to eight primary circles. The interactive geometry software Cinderella was used for creating these applets. ... The interactive features of many of the applets invite the user to freely explore by a few mouse clicks as many different special cases and perspectives as he likes. This is of great help in "visualizing" the geometry encoded in the concepts and formulas of Geometric Algebra.
[Postscript] 762k, gzip compressed