Hypercomplex Number

+A **hypercomplex number** extends [real numbers](/wiki/real_number) and [complex numbers](/wiki/complex_number) into higher dimensions, forming an algebra over the reals. These systems often sacrifice properties like commutativity or associativity, offering new structures for mathematics and physics.

+## See also

+- [Quaternion](/wiki/quaternion)

+- [Octonion](/wiki/octonion)

+- [Number System](/wiki/number_system)