Sedenion
In abstract algebra, the sedenions form a 16-dimensional noncommutative and nonassociative algebra over the real numbers, usually represented by the capital letter S, boldface S or blackboard bold S {\displaystyle \mathbb {S} } . The sedenions are obtained by applying the Cayley–Dickson construction to the octonions, which can be mathematically expressed as S = C D ( O , 1 ) {\displaystyle \mathbb {S} ={\mathcal {CD}}(\mathbb {O} ,1)} .