So I have an interest in hypercomplex numbers and Clifford Algebras and was wondering a few months ago about other hypercomplex numbers besides the celebrated Quaternions and Octonions. I tried to construct a 5D complex number system using a Cayley table but noticed that entries in rows and columns were redundant. But what about a 6D complex number system? Well I managed to come up with a proposal using a Cayley table(and I do not claim to be the true originator) and here it is: Now the rule to generate this Cayley table is i2=j2=k2=l2=r2=-1 And ijklr = (ij)(kl)r = -1 Now this is a non-associative algebra because (for example) i((jk)(lr))= i(-rk) = i2 = -1 and (i(jk)(lr) = jk = -r Has anyone else seen an Algebra like this before? I googled "sextenions" and found one article from 11 years ago where it mentioned a 6D complex number system but did not present a Cayley multiplication table for it.