A hypercomplex number is a complex number whose coefficients are themselves complex numbers.
Complex number = a + bi
Hypercomplex number = (c + di) + (x + yi)j
- ij = k
- i^2 = -1
- j^2 = -1
- k^2 = -1
Quaternions are a type of hypercomplex number. Octonions are a type of hypercomplex number whose coefficients are themselves complex numbers.