Cosmological polytopes and Graev polytopes are unified through ternary relations on 2-dimensional simplicial posets, yielding new facet families for some root-system polytopes.
Avis, Mutt, All the Facets of the Six-point Hamming Cone, European Journal of Com- binatorics, Vol
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Ternary relations and their polytopes
Cosmological polytopes and Graev polytopes are unified through ternary relations on 2-dimensional simplicial posets, yielding new facet families for some root-system polytopes.