2 papers
physics.ed-ph2025
A quaternionic approach to teaching 3D rotations and the resolution of gimbal lock
Fernando Ricardo González Díaz, Vicent Martinez Badenes, Teodoro Rivera Montalvo +1
Quaternions provide a unified algebraic and geometric framework for representing three-dimensional rotations without the singularities that afflict Euler-angle parametrisations. Th…
physics.ed-ph2024
Educational Perspectives on Quaternions: Insights and Applications
Fernando Ricardo González-Díaz, Vicent Martinez Badenes, Ricardo García-Salcedo
Quaternions, discovered by Sir William Rowan Hamilton in the 19th century, are a significant extension of complex numbers and a profound tool for understanding three-dimensional ro…