This is cool.  Last Saturday there was a Space Elevator robot challenge, held in the Seattle area.  Several teams competed to build Lifters out of identical Lego Kits.  The objective was to climb a “Space Elevator” (a 7 foot long, 2 inch wide nylon ribbon) to deliver a “payload” (golfballs) to the “satellite” (a large brass ring).

Lots of pictures and videos at this website.