it's full of patterns and secrets

So what is it about this that has so intrigued mathematicians the world over?In short, it's full of patterns and secrets.First and foremost, there's the pattern that generates it.Start with one and imagine invisible zeros on either side of it.Add them together in pairs, and you'll generate the next row.Now, do that again and again.Keep going and you'll wind up with something like this,though really Pascal's Triangle goes on infinitely.