A long time ago the Rings were made of which the Ring-verse tells about. The three were the ones Elrond, Galadriel and Gandalf had. The One Ring was made by Sauron and was called the Ruling Ring, for if you had the One (and if you could control it) you could control the other Rings.
Once the Ring was destroyed the other Rings lost their power. This might have been the reason that most of the elves went to Aman, but I think their was much more in that decision. As for elves becoming immortal after the destruction of the One Ring - it's not true. The elves remained immortal, no matter what Sauron would try or invent... they were created in that way by Eru Iluvatar and Sauron had not the power to subdue this. Neither did the elves fade: the nine nazgul were originally important men, but they faded... the seven for the dwarves were found again by Sauron again or consumed by dragons (the dwarves never faded for their resistance was too great, they have a enormous resistance against magic). The three the elves had were never touched by Sauron, for the elves of old hid them from him, and that's why they wouldn't fade. Also that's the reason why he didn't know where they were or who had them.
I hope this explains it a bit [img]smilies/biggrin.gif[/img]
If you haven't done so before: read the Silmarillion and especially this chapter: 'The Rings of Power and the Third Age'... this chapter explains how the Rings were made and all about the plans of Sauron, and so on.
__________________
'You?' cried Frodo.
'Yes, I, Gandalf the Grey,' said the wizard solemnly. 'There are many powers in the world, for good or for evil. Some are greater than I am. Against some I have not yet been measured. But my time is coming.'
|