Gregory's ServerThe Earth is only curved in three dimensions. The universe would be curved or flat in four dimensions. I think it's likely a mistake to generalize from three to four dimensions.
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2 comments
I already know all that, so what's your point? If a sphere in three space is expanded sufficiently, any practicable measurement taken on it's surface will be indistinguishable from the same measurement taken on an infinite 2D surface. |
@VA7SDH @ZachWeinersmith
A 3D sphere is not just curved in 3D, it is impossible to map it to a flat 2D space. The sum of internal angles of triangles on its surface will not be 180°. A torus (= donut) on the other hand is curved in our 3D world, but _can_ be mapped to a flat, purely 2D surface. It would be like a computer game where you enter the screen from the left as you enter from the right or fall from the top as you fall through the bottom.