**....."**In this case, geometrically speaking, space-time turns from a Riemannian

**..."**

In regards to the above I say-----i.e. positive shaped ( ) curved { geodesic } space

**......"**space envisaged by the General Relativity (GR) into a generalized affine - metrical space. Respective gravitational field equations that generalize Einstein's equations show that torsion and nonmetricity can also spread in the form of waves (in particular plane waves at a great distance from wave sources)

**.".........**

Plane waves? A plane is 2D ex triangle or square plane polygons define a planes area. So not yet sure what "plane waves" is exactly. I envision them meaning that we take for example, a quasi-wave-linear, 2D sine-wave ---peaks and troughs /\/\/\/--- and are able to express that information on a 2D plane ergo no peaks and troughs but still some kind of torsion i.e. to me this means the plane is twisted yet still plane-like.

Here is possible approximation of what their math does

**not**give an image of. Again, I'm certainly no mathematician and people likes us need a visual to make sense so what a mathematician is saying, with complex non visual maths.Or a twisted plane? Does that mean both positive and negative curvature?

Mobieus? Torus?

The cubo{6}-octa{8}hedron via Fullers jitterbug;

1} contracts-expands,

2} torques/twists,

3} spins,

4} inside-outs,

5} has positive ( ) convex shape, and,

6} transforms into negative )( concave shape aka saddle shape,

7} a 2D wave plane i.e. rippled { peaks and troughs } complex octagon,

8} hexagonal 2D plane with perpendicular triangular tail wing ergo

____/\__9} 2D set of four triangles ---double-valenced/bonded,

10} single triangle ---octa-valenced/bonded set of triangles---