Matrices like the ones shown in the following screen shots are at the heart of computer graphics. They describe objects moving in three-dimensional space. MATLAB's Handle Graphics uses them. So does MathWork's new RoadRunner editor. And so do all popular video games and CAD packages.... read more >>

Quaternions are generalizations of the complex numbers that have found applications in computer graphics and many other fields.... read more >>

The Bucky Ball provides an elegant example of a graph, the connectivity of the Buckminster Fuller geodesic dome.We are also demonstrating publishing this blog with the Live Editor. There is a button... read more >>

I want to share some colorful images featuring the seven colors in the MATLAB axes color order.... read more >>

I have added this section to my post a few weeks ago about using the SVD to measure partisanship in the United States Senate.... read more >>

I've blogged about this gem from Lothar Collatz (1910-1990) before, but it deserves to be repeated. Especially since it now provides an elegant example of singleton expansion.... read more >>

A Mesmerizing AnimationWe are working on a paper about the Kuramoto model of self-synchronizing oscillators. This animation shows the different initial conditions where six oscillators fail to... read more >>

Lots of tiny bubbles.... read more >>

I have completely rewritten the COVID-19 simulator that I described in last week's blog post and I now have a second version.... read more >>

Tomorrow, February 29, 2020 would be Gene Golub's 22nd birthday.... read more >>