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

Most popular porn searches, by state

We’ve seen that we can learn from what people search for, through the eyes of Google suggestions: state stereotypes, national …

Years You Have Left to Live, Probably

The individual data points of life are much less predictable than the average. Here’s a simulation that shows you how much time is left on the clock.

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.

Reviving the Statistical Atlas of the United States with New Data

Due to budget cuts, there is no plan for an updated atlas. So I recreated the original 1870 Atlas using today’s publicly available data.