🪢 Catenoids

Demo

🎯 A suspended string that eventually comes to rest in a catenary form
👉 Read About the Catenary for a derivation of the formula
🐍 A VPython demo is available as well, see suspended_spring.py

Catenoid as parametric surface

👉 A film of soap caught between two rings tries to minimize its surface and forms a catenoid!
🔗 For source code, see parametric surfaces demo

Catenoid as implicit surface

🔗 For source code, see implicit surfaces demo