Suppose you have two crossed threads in a 4D universe. One thread can easily pass by the other.
This means that cloth as we know it could not exist. Paper is similar. Indeed, thread is fibers twisted together. If the fibers could pass by one another, then thread, string, or rope couldn't exist.
Perhaps there could be 2D warp and 1D woof. But that is a bit much for my meager mind. I don't konw how that could be done. Perhaps this is obvious to someone else.