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by Tamás Keleti and Elliot Paquette



Supplement to article in American Mathematical Monthly

This paper uses graphics and animations to illustrate how to construct root and weight diagrams for Lie algebras, and how the root and weight diagrams can be used to identify subalgebras.

A set of articles (and some tutorials) about various tools for developers, including GeoGebra, LiveGraphics3D, Java Sketchpad, PHP, and SVG.

In this article, a very simple model is used to describe and generate many types of seashell shapes.
Three applets allow you to interact with the puzzle described in the April 2009 Mathematics Magazine article by Alex Fink and Richard Guy.

This interactive Geogebra applet allows exploration of a linear transformation in terms of images of a set of points. The Geogebra interface allows dragging of points and vectors to make for versatile explorations of basic linear algebra ideas. Suggested activities are included.

This interactive Geogebra applet allows students to experiment with 2 by 2 matrices and the corresponding geometric transformations of the real plane. A list of student activities is provided.

Simple probability concepts such as sampling with or without replacement are illustrated in this engaging tiered activity for beginning students and future teachers of probability.
This site features three simple-to-use applets: contour diagrams, curve families, and surface of revolution. The applets are written in Java and exploit Sun Microsystems' Java OpenGL technology so they will run on Apple OS X, Microsoft Windows 2000 or above, Solaris and many common configurations of Linux.

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