Computer visualization in experimental mathematics

Faculty Member

George Francis

Project Image

This project is about enabling mathematicians to communicate their research to a wider audience. The human brain receives 90 percent of its information visually, and devotes ten times as much of the cortex to vision (30pc) than it does to hearing. With the advent of computer graphics, we have easy access to 2,3,4 and more dimensional drawing and animation. It has become important even in math, as an essential part of the new discipline, Experimental Mathematics. We invite a member of any IGL project team to join us (even if only occasionally) to learn how to illustrate their subject more vividly. Emphasis is on programming real-time interactive computer animations which are accessible over the Internet on any browser.

Difficulty varies from easy to challenging. Each project member may work at their level of past experience. We work with a variety of examples which are easy to modify in order to illustrate your own material.

For additional information, see new.math.uiuc.edu/vizweb19

Team Meetings

Two weekly meetings

Project Difficulty

Intermediate

Undergrad Prerequisites

Math: Advanced calculus and some linear algebra. And either a good memory of
high school geometry, or a college level geometry course.

Coding/Software: Total novices are welcome, we will teach you to code some gratifying animation which you will post on the web. Core members should program (or at least read) one among Python, C/C++, HTML, Javascript. Experience with OpenGL, WebGL, DirectX or some other graphics library is welcome.