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This paper presents a new method for solving gimbal lock in 3D rotations using Topological-Combinatorial-Group (TCG) quaternions, which incorporate three constants to enhance traditional quaternion algebra. The TCG quaternion system effectively prevents axis alignment and maintains computational efficiency, making it suitable for applications in robotics, aerospace, and computer graphics. Experimental results demonstrate that the TCG approach successfully maintains full rotational freedom, outperforming tra

Author

Lyro Tutor

Language

EN