See, I just sat down with Paint Shop Pro, made a button template from Happ's sizes, laid out my 2x3 grid on 1.5" centers (snapping to guides and a 100dpi workspace helps here), grouped the button array and rotated it 45 degrees, and pasted in another button 1.5" apart from the appropriate button. Add the new button to the group, rotate 45 degrees back to horizontal, and printed it out to full size.
Yeah, you can do simple math to figure out the sizing (the hypotenuse is 1.5", the angle is 45, the math is relatively easy), but most rulers aren't precise enough to be any help.