This is a projection of a 4-D polytope into 3-D, leaving a pentagonal face in the center of the projection.
![](https://vorth.github.io/vzome-sharing/2022/05/02/19-26-19-face-first-120-cell/face-first-120-cell.png)
Here is another polytope projection, seemingly unrelated, that uses exactly the same orbits. This is the omni-truncated 5-cell.
![](https://vorth.github.io/vzome-sharing/2022/05/02/19-36-07-A4-F-with-navy/A4-F-with-navy.png)
This is a projection of a 4-D polytope into 3-D, leaving a pentagonal face in the center of the projection.
Here is another polytope projection, seemingly unrelated, that uses exactly the same orbits. This is the omni-truncated 5-cell.