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COMMENTS
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A face number function for a type of exceptional group expansion using Euler's formula V=E-F+2.
Derived in Mathematica to give known exceptional group polyhedron sequence: (Platonic solids) e = n*(n - 1); v = f - 2^(n - 3); Solve[v + f - e - 2 == 0, f] Table[Round[{-e, v, f}], {n, 1, 7}] {{0, 1, 1}, {-2, 2, 2}, {-6, 4, 4}, {-12, 6, 8}, {-20, 9, 13}, {-30, 12, 20}, {-42, 14, 30}} Table[Apply[Plus, Round[{-e, v, f}]], {n, 1, 7}]->{2, 2, 2, 2, 2, 2, 2} This result is just a sequence of numbers that seem to work.
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