Perhaps.
I think of 3D space as directions in XYZ. I'm fairly certain this is correct because nobody disagrees.
The big bang was a rapid expansion of something we don't know. I assumed that matter would expand evenly in every direction of XYZ.
So up, down, left, right, forward, and backward. Yet those are all respective.
My thoughts are that the universe is a lot like the bottom one. Not that it'd 2D, but that it's flat in the sense of 3D. It has height, but the height is smaller than the width.
If the universe expanded from a single point, I thought the universe should look like the top one, where matter is spread evenly from the central point in all directions. Hence, big bang = spherical distribution of matter.
The solar system, for the most part, lies on a plane. Other then asteroids orbiting the sun at odd inclinations, all of the planets inclinations are less than 4 degrees. Which I consider flat(ish).
While it's 3d, most of the matter is spread in a flat(ish) manner.
The milky way is the same, at 100,000 light-years wide, and 1,000 lightyears thick.
Somewhere along the way, I got the notion that the universe is the same way.
I was mistaken.
I thought it meant: "We SAY that the universe is flat, and this means that parallel lines will always remain parallel."
But just because we SAY it doesn't mean it's true.
I thought the whole point of this link was that the universe is not flat?