A very creative take on the theme, and executed on-point! The art, the mechanics (literally and figuratively), the game feel all come together very well.
Some improvements: The whole process of ending a run and rebuilding the robot at the very beginning introduced a bunch of inertia which I think could be cut down - maybe have a little "preview" before the level to see how the design of the bot would fit the part it had to climb? Just a thought. There was also a small lack of feedback, like which side you're about to rotate to and stuff... it's polish that difficult to include in 4 days, but is important in a game with so much deliberation in its decision-making.
Overall, this is the kind of stuff the theme was meant to bring forth! There's much good here, and I'd love to see another version after the jam :) I will most certainly play it. Cheers!