INSIDE MACHINES

Sandbox

Can simple rules be unpredictable?

Hang a pendulum from a pendulum. The equations are exact and nothing is random, yet a twin started a hair away soon does something completely different.

About this sandbox

A pendulum hanging from a pendulum, with a twin started a thousandth of a radian away. The equations are exact and nothing is random, yet the two soon swing completely differently: chaos.

Things to try

  • Try the wild start, then the gentle one.
  • Balance it upside down and let go.
  • Change the masses and arm lengths.

More in Swings and wobbles: Spring, Pendulum. See every sandbox, or type your own equation in Free mode.