SRE E8 Particle Assignment Explorer is an interactive physics‑geometry environment that lets you navigate the full 240‑root structure of the $E_8$ Lie algebra and test how particle assignments behave inside it. The app tracks spin, charge, chirality, and generational structure while letting you explore how these properties reorganize under symmetry operations.

Built on the J.G. Moxness $E_8\to H_4$ folding framework, the Explorer collapses the 8‑dimensional lattice into coherent 3D and 4D projections, giving you a clean visual handle on one of the most complex symmetry objects in theoretical physics. The goal is straightforward: provide a working environment to evaluate whether the Standard Model’s particle inventory can be embedded inside the $E_8$ architecture in a structurally consistent way.

Whether you’re analyzing root‑level relationships, testing assignment schemes, or studying the geometry itself, the Explorer gives you a high‑clarity, research‑grade interface for navigating $E_8$ without losing the underlying mathematical fidelity.

Click below to see the model inaction! (You came this far!)

SRE E8 Particle Assignment Explorer – https://copilot.microsoft.com/shares/artifacts/cr4qCECnaztGNUGFNFgrj

Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry:

• u = (1, φ, 0, −1, φ, 0,0,0)
• v = (φ, 0, 1, φ, 0, −1,0,0)
• w = (0, 1, φ, 0, −1, φ,0,0)

The projected 4₂₁ polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls of each set of tallied norms. These show:

1. 4 points at the origin
2. 2 icosahedrons
3. 2 dodecahedrons
4. 4 icosahedrons
5. 1 icosidodecahedron
6. 2 dodecahedrons
7. 2 icosahedrons
8. 1 icosidodecahedron

for 240 vertices. These are two concentric sets of hulls from the H4 symmetry of the 600-cell scaled by the golden ratio!