Please be aware that this resource is still in a somewhat draft form.

This applet shows a square with side length \(2\) rolling over an upside-down catenary with equation \(y=-\cosh x\). When the square is horizontal, the centre of its base touches the vertex of the catenary.

Move the slider to roll the square.

  • What is the locus of the centre of the square?

  • How far can the square roll with the same side still touching the catenary?

  • An a final challenge, can you recreate this applet using GeoGebra?