A Gallery of Ray Tracing for Geometers 
This gallery of images and animations shows many examples of how the POVray ray-tracing software can be used to display examples in three-dimensional geometry,

Trisecting a Line Segment (With World Record Efficiency!) 
This article looks at several geometric, straightedge-and-compass constructions for trisecting a line segment, comparing them based on the numbers of lines or circles required for the construction.

Thinking Outside the Box -- or Maybe Just About the Box 
This article presents a fresh look at an age-old calculus optimization problem, the "box problem." (Also includes a Student Module condensed from the article.)

Seashells: the Plainness and Beauty of Their Mathematical Description 
In this article, a very simple model is used to describe and generate many types of seashell shapes.

Visualizing Lie Subalgebras using Root and Weight Diagrams 
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.

Math on the Web Made Easier 
This article describes a document style for authors which combines HTML and LaTeX structures as a bridge to advanced Web technologies.

Generalized Baseball Curves: Three Symmetries and You're In! 
The curve traced out on a baseball by its seam has many symmetries. This article explores the class of closed spherical curves with the same symmetries, which we call generalized baseball curves.

Modeling a Changing World 
Events in our world are often modeled with differential equations. This article develops numerical solvers for ODEs. Interactive applets explore topics including slope fields and numerically solving definite integrals and differential equations.

Chemical Graph Theory 
Chemical Graph theory is used to model physical properties of molecules called alkanes. Java applets allow for interactive exploration of molecules. A student project and discussion of its application are included, along with spreadsheets of model data.

Mathematical Brooding over an Egg 
The shape, volume, and surface area of a hen's egg are explored with dynamic geometry software that allows the use of digital images.

For Past Volumes:  The JOMA Archive