I had this come up to me as a stupid question: “what would a rubik cube look like in the fourth dimension?”
It only took a short searching on google to find out about it. Some people decided to create computer games based on that.
4th dimension looks like this:

However, the most impressive one is the 5th dimension Rubik Cube: 
Those who managed to complete the puzzle have their name in their hall of fame, and you can see how many operations it took them to do so. If you look on the website a bit more, you’ll end up finding a guy who made a java program to solve it for you. Quite impressive.