The characteristics of the various 'God personas' are so distinctively different from eachother that is can be somewhat hard to see a direct connection. It is more of a family, where the individuals has extremely close ties, but are not the same person.
Hence, Jesus has an unique personality, with abilities and limitations that are not ascribed to the concept of the Holy Spirit, for example.
The concept of the trinity does not make much sense if you think of it in the God is exactly Jesus is exactly Holy Spirit is exactly God sense. I think this is the reason why some people like to visualize it as something more of a very very close family.
From my personal reading of the Bible, I find the hardcore concept of the Trinity to be taking the idea a bit too far.
[This message has been edited by Melchior, 02-26-2004]