Sphere via rotations of longitude line

The combined rotation transformation:

βββββββββββββββ Plots βββββββββββββ

Longitudes and latitudes:

The surface of the sphere:

What is the effect of the combined rotations, before we multiply by unit vector [1 0 0]?

It puts the cube on the sphere at the correct location and with the correct orientation!

The azimuth (longitude) and latitude at which to slide the cube around the globe:

Axes on the unit cube, to show its orientation:

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