How to rotate a cube on its tip

I am sure there are some easy steps to follow in order to do this. Basically, I have a regular cube out of the toolbox and want to rotate it so that it stands on its tip (like this). I want to use the angle snap feature so that its rotation fits precisely (because I may combine multiple such elements into more complex sculptures), so just eyeballing it would not suffice.

This is what I start with:




And I guess rotating it by 45° is the first step:



But after that, I am rather lost. Rotating it 45° along any other axis doesn't really work, the cube always ends up skewed into one direction or another. Surely someone with more geometry knowledge knows a sequence of steps to achieve this? :)
 
Click the rotation direction change button (sorry don't know what the official name is). Its the center of the five buttons around the checkmark...that changes or resets the rotation circles to be horizontal, so you should then be able to tip the cube the other direction.
 
Click the rotation direction change button (sorry don't know what the official name is). Its the center of the five buttons around the checkmark...that changes or resets the rotation circles to be horizontal, so you should then be able to tip the cube the other direction.

Thank you, I had no idea you could do that :)
 
Click the rotation direction change button (sorry don't know what the official name is). Its the center of the five buttons around the checkmark...that changes or resets the rotation circles to be horizontal, so you should then be able to tip the cube the other direction.

Thanks. At first glance this seems to do it, but actually the cube ends up skewed anyway. (Also, it turns out this does not "reset the rotation circles", it simply switches between using the object's own coordinate system, or the map's coordinate system.)

It's odd actually. It looks clearly like rotating one notch along the red circle would do the trick, but it ends up with what looks like a rotation larger than 45°.

Before:


After:


P.S.: Why is there no 22.5° increment for rotating scenery objects, like there is for coaster tracks?
 
try unclicking the angle snap and you may be able to fine tune the movement better. Between the three rotations you should be able to get it perfect.
 
CNf1RA.jpg
 
try unclicking the angle snap and you may be able to fine tune the movement better. Between the three rotations you should be able to get it perfect.

That's exactly what I want to avoid. Eyeballing stuff like that is very troublesome when you start combining multiple elements, on top of generally being very, very unsatisfying.
 
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