I can envision a pretty darn fast mechanism for this, but you’d be dedicating your robot to a super-fast climb. Here’s my thinking:
Common Sense Climbing: Most of us are thinking of a climber that has a moving grabber and a stationary grabber. Moving grabber latches on, pulls you up till you engage the stationary grabber. Then you extend the moving grabber, latch on again, and repeat till you get to the top. Doing all of that rapidly enough for a 4 second lift seems difficult. Plus is that this is (relatively) uncomplicated and light.
Superfast Climbing: You’ve dedicated your robot to climbing, so your climbing mechanism can be as heavy, bulky, and power hungry as necessary. So you make a climbing system with three different moving grabbers. Drive up to the pyramid, first grabber latches on and starts lifting. When it’s done, your second grabber is perfectly positioned to latch on and start lifting, so it keeps pulling you up with very little pause. Ditto the third grabber. So you get nearly continuous lifting at the cost of building three moving grabbers instead of one. And powering them of course. My specific implementation of this would be a corner climber with three pairs of telescoping poles with spring loaded hooks to grab the rungs. You’d want some kind of shock on the idler wheel that’s running up the pole, of course. And even then it’d be a pretty wild ride going up the corner that fast…
