Cayley numbers

Cayley numbers, also known as octonions, are a type of mathematical entity that extends the concept of numbers beyond real and complex numbers. They are part of a broader category called hypernumbers. While real numbers are one-dimensional and complex numbers are two-dimensional, Cayley numbers exist in eight dimensions. They are useful in various fields, including physics and computer science, particularly in representing symmetries and rotations in higher-dimensional spaces. Notably, they have unique properties, such as being non-commutative, meaning the order of operations matters when multiplying them.