Hi Burr, so starting with a cube centered at the origin, first rotate it in the Top view by 45 degrees then rotate in the Right view by 54.736 like Brian writes above, or also you can snap the rotation onto the cube's corner with the first pick and then straight up with the 2nd pick.
The solution, I gave before, seems easy and fast.
It's as Michael explained, to begin with an cutted hexagon and displacement of key points.
No theory, only practice.