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I think a good challenge to start with is;
Now let's say that the cubes have to be joined "properly", that is with no twists, so a that a square face is flat against the next square face.So the two main rules that will control how we will build are as follows:-
Well, I wonder how many different designs you can discover or forecast?Unless you have lots and lots, I really mean lots, of these cubes to use you will have to make a record of what you have done each time. This can be useful so that you can check that you have not done the same ones twice.