See discussion at:
for the “running it vertically” scenario.
45° orientation would maybe alleviate some of the concerns. My opinion is that while it is certainly a fun experiment, you should probably not expect it to work flawlessly from the start, just because it was never intended to be run that way, so there will be surprises along the way (just an example: you would need to be really sure that your router is all the way to the “bottom” (right end of the X axis) before turning off the machine…)