Explicit non-associativity witness in the Cayley-Dickson octonions O on the Fano-plane multiplication convention with triples {(1,2,3),(1,4,5),(1,7,6),(2,4,6),(2,5,7),(3,4,7),(3,6,5)}. Compute: e₁·e₂ = e₃ (triple (1,2,3)); (e₁·e₂)·e₄ =…
Explicit non-associativity witness in the Cayley-Dickson octonions O on the Fano-plane multiplication convention with triples {(1,2,3),(1,4,5),(1,7,6),(2,4,6),(2,5,7),(3,4,7),(3,6,5)}. Compute: e₁·e₂ = e₃ (triple (1,2,3)); (e₁·e₂)·e₄ =…