In what positions can Continuum controllers be mounted?
Continuum Product Line
Not sure if the controllers can be mounted on both the vertical and horizontal plane.
There may be some specific mounting instructions for some of the controllers, but for the most part they can be mounted in any direction in the vertical plane.
Controllers with relays should not be mounted with the edge the outputs are on facing down. Consult the installation instructions (found here) for each controller for any specific mounting requirements.