E8 (2_41, 4_21, and 1_42) projected to various Coxeter planes

This is a shot of the relevant Mathematica code snippets that produce the images:

E8 4_21 (with projection basis, edges, vertex overlap colors & counts) (click here for very large SVG):

E8 2_41 (with projection basis, vertex overlap colors & counts) (click here for very large SVG):

E8 1_42 (with projection basis,vertex overlap colors & counts) (click here for very large SVG):

Files of the actual vertex lists:
E8-4_21.txt (240)
E8-2_41.txt (2160) (EVEN +/- signs on some vertices producing incorrect projections)
E8-1_42.txt (17280)  (EVEN +/- signs on some vertices producing incorrect projections)

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