The easiest way to understand curvature is to look at a triangle. If you have three points (not in a line) they form a triangle. If you sum the three angles in any triangle, you always get 180˚ in a flat space. This can be a 2D space, like geometry class on paper, or a 3D space, like the space around the planet.
Consider the surface of the Earth, this surface is curved. If you make a triangle with one side on the equator and the third point at the North Pole, then this triangle has an sum greater than 180.
The thing about the Universe, we see flatness every place we look. That isn’t too convincing, because if you draw a triangle on the parking lot outside it will measure 180˚ and give you the false impression that the surface of the Earth is flat.
Maybe the Universe is flat, maybe the Visible Universe is in a flat spot, maybe we’re just in a flat spot and we need to measure multi-lightyear triangles.
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