Rectified E8 in F4 with Lisi particle assignments with basis vectors of (ωS,ωT,U,V,Iω,r,g,b). This shows the quarks in outer rings and force and leptons in the center. The blue lines represent 76x3 triality relationships embedded in E8. Interestingly, this projection is unique in that all triality relations result in equilateral triangles in a few related sizes. The E8 basis vectors that produce this projection are: x=(2-4/√3, 0, 1-1/√3, 1-1/√3, 0, -1, 1, 0)
y=(0, -2+4/√3, -1+1/√3, 1-1/√3, 0, 1/√3, 1/√3, -2/√3)
This is constructed from VisibLie_E8 found on TheoryOfEverything.org
Own work
Jgmoxness