general relativity - Physical visualisation of curvature

I was wondering-how do you visualise curvature in the context of general relativity. The gravity well and trampoline analogies are quite wrong, so I want a more realistic approach to it (say, the way Einstein himself might have visualised it). Mathematically, it all makes sense, but I am not really sure how does this really looks like. More specifically:

1. How do you visualise Riemann tensor?


2. Ricci tensor?


3. Weyl Tensor?

ANY DIFFERENCE IN THE VISUALISATIONS?