> in addition to real and complex numbers there are higher dimensional numbers namely hypercomplex numbers i.e quaternion and octanion numbers, and no other val

> in addition to real and complex numbers there are higher dimensional numbers namely hypercomplex numbers i.e quaternion and octanion numbers, and no other valid numbering systems beyond that. To be precise, no other multi-dimensional numbers beyond octonions (which lack associativity) that follow the behavior of complex numbers. There are indeed an infinite amount of multivector numbers with different algebraic rules.