You probably know about the Pythagorean theorem which says that if you measure out a triangle you get s^2 = x^2 + y^2. This only works on a flat surface, so if I draw a triangle on a sphere it doesn’t work out that way.
The 3D version of this is s^2 = x^2 + y^2 +z^2. When they say the universe is “flat” they mean this equation holds true.
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