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Considering the adjacency matrix of the vertices representing the polyhedral graph of the unit-radius 120-cell, the graph diameter is 15, connecting each vertex to its coordinate-negation at a Euclidean distance of 2 away (its circumdiameter), and there are 24 different paths to connect them along the polytope edges.

Ok

Another great circle polygon path exists which is unique to the 120-cell and has no dual counterpart in the 600-cell.

True

As the sixth and largest regular convex 4-polytope, it contains inscribed instances of its four predecessors (recursively).

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Cells facing away from 4D viewpoint culled for clarity

ts better be smth about jjba

The 12 dodecahedra immediately adjoining it rendered in cyan;

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The Davis 120-cell manifold, introduced by Davis (1985), is a compact 4-dimensional hyperbolic manifold obtained by identifying opposite faces of the 120-cell, whose universal cover gives the regular honeycomb {5,3,3,5} of 4-dimensional hyperbolic space.

Can you link the article mine will be from too?

The 10 cell face to face path above maps to a 10 vertex path solely traversing along edges in the 600-cell, forming a decagon.

https://en.wikipedia.org/wiki/120-cell

6

There are exactly 400 regular hexagons in the 120-cell (two in each dodecagon central plane), and each of the ten 600-cells contains its own distinct subset of 200 of them (one from each dodecagon central plane).

Ok

One can continue adding 10-cell rings adjacent to the previous ones, but it's more instructive to construct a second torus, disjoint from the one above, from the remaining 60 cells, that interlocks with the first.

What is this

120-cell