<aside> 💡 August 9, 2024 I renamed this page from “Rope / chain physics (catenary, verlet integration)” to just “Catenary Curve (rope/chain)” and created a separate ‣ page. — Raphaël

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Image source: Screenshot from https://codepen.io/fractalkitty/pen/VwMBqOd

Live Example

https://codepen.io/SableRaf/pen/vYqJPaE

Learning resources

The Mathematics of Catenary - Alan Zucconi

Implementing Catenaries for Games - Alan Zucconi

Editable Code Example

Catenary simulation

Catenary Calculator - Clay Heaton

Tools

catenary-curve - Draw perfect catenary curves for hanging ropes

Technique in action

https://twitter.com/t3ssel8r/status/1470039981502922752?s=20&t=EGx8yi9dGpxTlUqDiGmHBg

Catenary Kitty Clouds

How To Create A Coiled Cable Shader In UE4

Cable Components