To explain general relativity to the public, often the rubber blanket model is used. However, it can be criticized for again needing gravity and using an additional dimension. Here, employing a mesh grid of triangles, we develop a model that explains gravity only with the curvature of space inside the twodimensional plane and works without the need for an additional dimension. Based on this model, we review the derivation of Newton’s law at the different magnitude scales within our universe while emphasizing the assumption of a flat background space. Finally, we raise the question of whether a completely different gravitational law than Newton’s could hold for galaxies, which could be derived from Einstein’s field equations while abandoning the assumption of flat background space at this magnitude scale. Consequences would be to explain the dark matter effect by operating gravity, to explain the dark energy effect by a net gravitational blueshift of light in the expanding universe and a slightly changed perceiving of the starry sky.