This is constructed from VisibLie_E8 found on TheoryOfEverything.orgarchive copy at the Wayback Machine with the following settings:
(* This is an auto generated list from e8Flyer.nb *)
new := {
cylR=0.015;
favorite=34;
showAxes=False;
showEdges=True;
eGrad=0;
edgeVal={3 - Sqrt[5], 1200};
ds=8;
pListName="All";
dsName="cell120";
bANDTrk=bAND=2;switchFilter};new;
Specifically, the projection is:
X={0., 0.473636790206, 0., 0.160212955043, 0.,-0.473636790206, 0., -0.160212955043}
Y={0.318670583423, 0., -0.385290876171,0., -0.318670583423, 0., 0.385290876171,0.}
Note: There is a doubling of the dimensionality (that has been effectively removed in this graph) is due to my integration into E8 and the e8Flyer.nb (using the Golden Ratio). This is why the projection vector is 8D.