An exceptional 8-dimensional Lattice is shelled in a series of 7-dimensional spherical layers of increasing radi. Each could be seen as an observer space SO(4,1)/SO(3), in Derek Wise’s view, and as discussed on the physics forum https://www.physicsforums.com/threads/desitter-group-so-4-1-intro.126285/, and we show its relation to Finsler Geometry, Modified Gravity, the Elser-Sloane 4D Quasicrystal and the Quasicrystalline Spin Network, through the Discrete Hopf fibration procedure. In conclusion, spheres are very important, in particular, the seven dimensional one.
