In response to this recent question:
$ E_8$ roots, OEIS entry A000712, and "Number of partitions of n into parts of 2 kinds"
the MO contributor მამუკა ჯიბლაძე mentioned the Vinberg/Elashvili “trivector” $ E_8$ in 9-space as possibly relevant to my question:
At an INTUITIVE and NAIVE level, is it correct to say that the roots of the Vinberg/Elashvili $ E_8$ sit inside two OPPOSED 4-cubes of an 8-cube in 9-space?
Thanks as always for whatever time you can afford to spend considering this matter.
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