For d ≥ 5, an association scheme is amorphic if and only if its fusing 3-hypergraph contains two 3-sunflowers (equivalently, if every triple of relations fuses).
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Characterizations of amorphic association schemes in terms of fusing triples
For d ≥ 5, an association scheme is amorphic if and only if its fusing 3-hypergraph contains two 3-sunflowers (equivalently, if every triple of relations fuses).