 The Geometry of the Octonions

The geometry of the octonions is a rich and complex subject that involves both algebraic and geometric concepts. The octonions are an extension of the real numbers and a type of hypercomplex number system. They are the largest of the four normed division algebras, which also include the real numbers, complex numbers, and quaternions. Here are some key aspects related to the geometry of the octonions: ### 1.