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

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