Cayley plane
= Cayley plane
{wiki=Cayley_plane}
The Cayley plane, often denoted as \\( \\mathbb\{OP\}^2 \\), is a projective variety that arises in the context of octonions, which are an extension of the complex numbers and quaternions. The Cayley plane can be thought of as a geometric realization of the properties of octonions, particularly as it relates to their structure as a non-associative algebra.