quaternions

= k² = ijk = -1 ij = k, jk = i, ki = j ji = -k, kj = -i, ik = -j Why Use Quaternions? Compactness: Quaternions require four parameters, minimizing storage. Efficiency: Faster computations compared to rotation matrices. Avoid Gimbal Lock: Euler angl

ncovering new physical theories where octonions naturally encode fundamental symmetries. Developing geometric models leveraging these algebras for advanced visualization and simulation. The intersection of algebra, geometry, and physics in the study of these num

ique, et la géométrie relativiste. Comprendre ces structures permet non seulement d’approfondir la connaissance mathématique, mais aussi de développer des applications innovantes en ingénierie, informatique, et sciences fondame