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.


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.

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.

Divorce and Occupation

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

Causes of Death

There are many ways to die. Cancer. Infection. Mental. External. This is how different groups of people died over the past 10 years, visualized by age.