Quote: "What if the portals were the size of the portals in portal?"
Lol, took me a while to understand that you meant the game "portal".
I have done a bit more thinking about this, and I come to the conclusion that portals in a 3d world are 3 dimensional, just like
here. They don't have to be a sphere, but they have to be 3 dimensional or they would be too thin to fit through (because we are 3 dimensional too).
Getting back to the horizontal argument, yes, it is theoretically possible to try and fit them in like that, but if you are looking from a dimension above, it is physically not possible, because as soon as they touch each other, the intersecting portals cancel each other out and disappear.
Let's go back to the 2d portals. You have a 2 dimensional land:
To create a portal, you bend it like a piece of paper until you get an intersecting area:
At area of intersection, it is possible to jump from one side to the other to cover a long distance with almost no movement.
In 2 dimensional view, it will look like two areas that share the same view from opposite sides:
Now, to bring the portals together so they intersect with each other, you will be moving the area of intersection down:
When the two portals are touching each other:
There won't be any matter left for intersection:
Which means the further you push the two portals "into" each other, the less space you are using for intersection, thus the portals are eliminated.
TheComet