This is model of the 8 dimensional polytope of the roots of the E8 Lie group, labeled by Coxeter as the 4 21
semiregular uniform 8-polytope, and projected into 3 dimensions. It is the basis of Antony Garrett Lisi's "An Exceptionally Simple Theory of Everything" which hopes to unite all of the subatomic particles and forces in a single theory. (See Wikipedia, 421
and http://theoryofeverything.org/theToE/ ). This was created with the aid of J. Gregory Moxness' Mathematica notebook, available on his TheoryOfEverything website (see above).
This model has 240 vertices (one for each of the predicted 240 particles) and 6720 edges. Due to its complexity, the model had to be 'voxelized' (reduced to tiny 'voxels' of volume), then returned to a surface mesh. Hence there is a little extra material at some of the strut intersections.