Cylinder representation of phase space: Offers a natural, three-dimensional visualization of the pendulum's phase space
White spiral trajectory: Illustrates the typical motion of a pendulum losing energy and approaching equilibrium
Rotating angle axis: Showcases the cyclic nature of the pendulum's angle and angular velocity
Educational value: Provides an accessible way to understand complex differential equations concepts
Based on this video:
A classic example for student of differential equations is the non-linear pendulum. These socks illustrate what's known as the "phase space" of that system (see the video above), but represented on a cylinder, which is much more natural than most other diagrams you'll find.
One axis represents the angle of the pendulu
