The Holy Tin-ity?

Ok, I think that I have finally worked out my great analogy for the Trinity. Now, this is in no way infallible, and it actually sounds kind of strange. But this could be my greatest theological contribution ever. However, read this with a grain, or whole dump truck full of salt.
Imagine a popcorn tin (the ones you get around the Christmas Season. They contain three flavors: Butter, Cheese, and Carmel. Now, in the tin you have a separater. Remove the cardboard separater and intermix the three flavors equally. This gives you three distinct flavors, carmel, cheese, and butter, in one tin, all of one substance (popcorn), all coequally existing as members of the tin and as popcorn (no one is more popcorn than any of the others). So that's three flavors coequally existing at the same time as one tin and all of the same substance. I personally don't see where this breaks down, accept the Son is not just the Father carmalized, and neither is the Spirit just cheese flavored Father. Please give any comments and feel free to analyze and critique this, as it will not hurt my feelings if you show me to have missed some point of breakdown (besides the facts that it is obviously not living and infinite).
P.S. I guess this could lead us to sing, "God in three flavors, blessed Tin-ity." Ok, maybe not.