Right so the expansion of our 3-D universe would need to be happening into the 4th or more dimensions for the analogue to make sense. But is that really what th

Right so the expansion of our 3-D universe would need to be happening into the 4th or more dimensions for the analogue to make sense. But is that really what they are saying that when cosmologists speak of the expansion of the universe they mean it is expanding to the other 3+ (spatial) dimensions?. Note the title of the article "What is our Universe Expanding Into? Is it expanding into the 4th spatial dimension?