And none of the books or blogs I've seen or web pages really seem to connect the dots for me..

I understand that if you have square filters, and you align a horizontally oriented filter only horizontal waves get through. Likewise for vertically oriented filters. Combine them, and nothing gets through.

Add a diagonally oriented square between the two filters, and light gets through again.

Assuming a horizontal, diagonal, vertical orientation, my questions are:

1. Is the light that comes out a vertical, horizontal or diagonal wave?

2. Assuming that the diagonal filter was set up so that light would slant to the left, does the light come out (a diagonally down and to the left, b) diagonally up and to the left, c) diagonally down and to the right, d) diagonally up and to the right, e)horizontal and above the plane of initial impact, f)horizontal and below the plane of the initial impact, g) vertical and to the left of initial impact, h) vertical and the right of the initial impact, i)some combination of (maybe partial) vertical and (maybe partial) horizontal waves that are offset from the original impact.

3. If I reverse the orientation of the diagonal filter, which letter above now applies?

4. Does the fact that this happens prove that there are light waves that are purely diagonal?

5. If not, would stacking a second set of the three square filters one slit down or one slit up from the first set and still getting the same result prove that light can travel strictly diagonal? (This is an extreme generalization, as I may also have to adjust the other filters to match, but the point is, if I can create a continuance of the light path along the same filter paths, does this apply)

6. Does that mean that it technically never actually touches the realm of the horizontal or vertical and only appears to?

The rest of this is extra and not directly related, but kind of the reason I am trying to understand this better. You can skip the rest if you want (aside from the fact that you can already totally ignore me..) but I hope some people can offer me some hypotheses or even theories on these questions..

7. If you agree with 6, would you be inclined to go a step further and be open to the suggestion that diagonal is in fact its own dimension, and is NOT confined to existing within the first three?

8. If some one insisted you prove that diagonal is its own dimension, how would you do it?

9. If some one insisted you disprove that diagonal is its own dimension, how would you do it?