The Gaussian-School of Higher-Arithmetic (1831, updated 2022); tutorial #21 page 11g.

The Arithmetic of Clocks, page 11g.

However, this exponential polar manifold has now outlived its usefulness to us because right and left rotations of our clock must not overwrite each other and we need to be able to express many completed rotations, in both the left and the right directions. The three dimensional exponential polar manifold is just a useful transitional device empowering easy interpretation between the fundamental exponential-number-plane and the subordinated flat-rotational-plane.