English: Continuous Cayley Transform. The whole animation, consisting of the sequence of 75 snapshots from identity to the Cayley transform ${\displaystyle w(z)={\frac {z+i}{z-i}}}$. The following formula :${\displaystyle w_{t}(z)={\frac {-{\frac {(1+i)\sin({\sqrt {3}}t)}{\sqrt {3}}}+{\frac {1}{3}}z(3\cos({\sqrt {3}}t)-i{\sqrt {3}}\sin({\sqrt {3}}t))}{{\frac {(1-i)\sin({\sqrt {3}}t)}{\sqrt {3}}}+{\frac {1}{3}}z(3\cos({\sqrt {3}}t)+i{\sqrt {3}}\sin({\sqrt {3}}t))}}}$ , ${\displaystyle 0\leq t\leq {\frac {\pi }{3{\sqrt {3}}}}\quad }$ gives the interpolation between the identity transformation and the Cayley trans^[1]