The Gaussian-School of Higher-Arithmetic (1831, updated 2022); tutorial #21 page 10.

The Arithmetic of Clocks, page 10.

Here we can show any polarity about our exponential number manifold, notice that we are counting the left rotations in quadrants. This is the arithmetic of clocks or the mathematics of time itself and this manifold here is a derivative of the exponential number plane. The exponential plane has two axes but with axial dimensions that are as different as chalk and cheese. Euclidean 2-d planar geometry must not be applied. Notice that I add an interpretation of the subordinated flat rotational plane numbers direct-one (+1) and inverse-one (-1).