Remember this fact.

Dissipative structures / Computer graphics

Idealization: from real objects to mathematical abstractions

Oscillatory systems: six graphs depicting oscillations with spring-driven pendulums, damped oscillations, a mathematical pendulum, and phase planes.

Two dogs under the carpet.

The vibration of the string

The “wave effect” of a pendulum

chaos and bifurcation

It’s time to head to Barcelona!

A modern perspective on mathematics.

Cycloids, Galileo’s spiral, Descartes’ ovals, Perseus’s curves…