Three Lefts One Left makes a Right

Three Lefts make a Right

We've all heard and know the phrase "Three Lefts make a Right", and indeed on a cartesian plane, three 90º turns to the left will result in the equivalent of on initial 90º turn to the right...

One Left makes a Right

But I recently realized, under certain circumstance, just ONE 90º turn to the left also can result in the equivalent of a 90º turn to the right, along a regular polyhedron! I've drawn a diagram below to prove it. The first image shows the path of going forward and making a sharp right, the second image shows a path wrapping around to the bottom side of the polyhedron then making a sharp left, and eventually resulting in traveling along the same path as the initial sharp right from the first image. One left does indeed make a right.

-Albert Renshaw, Sep 4 2019