English: Simulation based on the homotopy, H, between a loop in the quaternion space and the constant loop of identity quaternion, (1, 0, 0, 0): ${\displaystyle H(s,t)=(1-2\sin ^{2}(t/2)\cos ^{2}(s)+\sin(t)\cos(s)i+\sin ^{2}(t/2)\sin(2s)j+0k,\quad s\in [0,\pi /2],t\in [0,2\pi ]}$