This is what I expect to be the first ever 3D visualization of the E8 1_42 polytope with 17280 vertices showing concentric hulls of Platonic solid related structures!
![](http://theoryofeverything.org/theToE/wp-content/uploads/2020/05/e8142-3d-2-849x1024.png)
![](http://theoryofeverything.org/theToE/wp-content/uploads/2020/05/e8142-3d-6.png)
![](http://theoryofeverything.org/theToE/wp-content/uploads/2020/05/e8142-3d-7-438x1024.png)
of 8 hull listed above. Notice this is a combination of two overlapped dodecahedrons (40) and a Nonuniform Rhombicosidodecahedron (60).
For the sake of completeness in visualization, see below for various projections to 2D. Click these links for a higher resolution PNG or the SVG version.
![](http://theoryofeverything.org/theToE/wp-content/uploads/2020/05/E8-Projections-2i-12c4.svg_.png)