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?
