HITZER, Eckhard

   Senior Associate Professor

   Division of Arts and Sciences, College of Liberal Arts, International Christian University
Language English
Publication Date 2003
Type Research Paper (Scientific Journal)
Peer Review With peer review
Title Geometric Algebra illustrated by Cinderella
Contribution Type Joint Work
Journal Advances in Applied Clifford Algebras
Journal TypeAnother Country
Publisher Birkhaeuser, Basel, Switzerland.
Volume, Issue, Pages 13(2),pp.157-181
Responsible for Most of text and graphics.
Author and coauthor HITZER Eckhard, Luca Redaelli
Details Conventional illustrations of the rich elementary relations and physical applications of geometric algebra are helpful, but restricted in communicating full generality and time dependence. Up till now very little animated and fully interactive, free, instant access, online material is available.
This report presents therefore a set of over 90 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.
DOI 10.1007/s00006-003-0013-x