Art of Mathematics – Visualization of Dynamical Systems

Posted to Data Art  |  Nathan Yau

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

Think Like a Statistician – Without the Math

I call myself a statistician, because, well, I’m a statistics graduate student. However, the most important things I’ve learned are less formal, but have proven extremely useful when working/playing with data.

19 Maps That Will Blow Your Mind and Change the Way You See the World. Top All-time. You Won’t Believe Your Eyes. Watch.

Many lists of maps promise to change the way you see the world, but this one actually does.

Real Chart Rules to Follow

There are rules—usually for specific chart types meant to be read in a specific way—that you shouldn’t break. When they are, everyone loses. This is that small handful.

Who is Older and Younger than You

Here’s a chart to show you how long you have until you start to feel your age.