Awesome game!p
I like the well-designed cube. They just like a precise mechine which you need to take time to figure out how it works and plan your next move. Love this idea.
Maybe adding some moving gear or conveyor belts or other which can help player to understand the structure of the cube would make the game even better. (of course, fully understand it's asking too much to a gamejam game. Maybe a arrowhead will do the trick as well for gamejam : ))
Overall, great job!