Deeper symbolism and hidden meanings in the books

[Isilmëiel]

Doug:

You may notice that in the Sammath Naur, Frodo puts on the Ring for the sixth time, and then fails of his quest - six being the number of imperfection.

Odd, I've heard that Pythagoras (I believe) thought that 6 was the number of perfection, based on the fact that it is both the product of the first 3 numbers and the sum of them as well.