Art of Mathematics – Visualization of Dynamical Systems

Sep 18, 2008

Dynamical systems are mathematical models used to describe the time-dependent position of a point’s position in ambient space. For example, a dynamical system could be used to describe the movement of a swinging pendulum. The way the pendulum moves is based on the laws of physics, but trajectory, velocity, acceleration, etc changes over time. Over at the University of Liverpool is a series of visualizations by mathematicians around the world that shows such dynamical systems.

Lasse Rempe, a mathematician, describes the beauty of these visualization in this video on the BBC. Many more beautiful pieces in the video and explanation of the underlying structures.

Favorites

How You Will Die

So far we’ve seen when you will die and how other people tend to die. Now let’s put the two together to see how and when you will die, given your sex, race, and age.

Watching the growth of Walmart – now with 100% more Sam’s Club

The ever so popular Walmart growth map gets an update, and yes, it still looks like a wildfire. Sam’s Club follows soon after, although not nearly as vigorously.

Life expectancy changes

The data goes back to 1960 and up to the most current estimates for 2009. Each line represents a country.

Divorce and Occupation

Some jobs tend towards higher divorce rates. Some towards lower. Salary also probably plays a role.