This is what happens if you cast a ta-tack by a staircase.
If it were infinite, would it stop?
Great fun -- so many ways to play this spintoy!
I think the ta-tack would keep hopping down indefinitely if certain conditions were met:
(1) Temperature stays within operating limits.
(2) Gravity doesn't weaken significantly on the way down.
(3) The stairway stays steeper than a certain critical angle.
Conditions (1) and (2) pretty much rule out a stairway to the center of the Earth. A stairway to heaven's probably out, too.