Jonathan Rogness

Jonathan Rogness

Visualization

I have a long standing interest in mathematical visualization, and its use in the classroom.

This website was revamped in 2023, which provided a good opportunity to remove links to old visualizations which no longer work with modern browsers or operating systems. Some old materials have been updated. For example, I originally wrote my Interactive Gallery of Quadric Surfaces in 2003; it was published in the Journal of Online Mathematics in 2005, but by 2015 the Java applets did not function in modern browsers. Fortunately Nathan Dunfield rewrote the gallery using three.js in 2015:

Throughout the year I plan to update this page as I convert old material to run in modern browsers. For now, here are some current links:

  • The most widely-known visualization I’ve made is Möbius Transformations Revealed, a video I created with Doug Arnold. See this page for more information.

  • Doenet, the Distributed Open Education Network, allows authors to create interactive demonstrations (and much more) using DoenetML, a markup language similar to HTML.

  • Topology Videos. Here is a collection of videos I created demonstrating the gluing diagrams for a torus and Klein bottle. The videos correctly have no narration, but an instructor in a topology course can provide explanations as needed!