Just posting this here for @Ponder as requested at the end of the livestream.
The x/z to the right each grid are the absolute transform offsets required to move the new, rotated origin (*) to the proper position (@), followed - if non-zero - by the appropriate axis equation (based on Tony’s lua code written during the stream). I figured they’d be useful as the wx/hz value used actually flips based on the rotation (which wasn’t immediately evident when working with same-length even-sided objects like the 2x2 crate).
I used a smaller 4x3 and a larger 6x3 to show the equations work across differing sized objects (with mixed odd/even sides!) as my initial assumption that ceiling(length/2) was required was wrong and only works when the origin is centred (a centred-origin object not having any of the problems associated with this template bug). This works just as effectively if both sides are of an even-value size (though those sizes don’t have to match).
This all assumes that the origin point of objects with at least one even side length is in the lower-left [0,0] coordinate (as was the case for the 2x2 crate and, I believe, the 1x2 window, as well). This does work for the 1x2 window object but I left that out for brevity. (:
wx = Object's X width / hz = Object's Z height
@ = Object's origin point / * = Object's origin after rotation
wx = 4 / hz = 3
oooo.. ...*oo
oooo.. x = 0 ...ooo x = 0 /
@ooo.. z = 0 ...ooo z = -3 / z -= wx-1
...... ...@oo
...... ......
...... ......
...... ......
...... x = -3 / x -= wx-1 ...... x = -2 / x -= hz-1
...... z = -2 / z -= hz-1 ooo... z = 0 /
..ooo* ooo...
..oooo ooo...
..@ooo @o*...
wx = 6 / hz = 3
oooooo.. .....*oo
oooooo.. x = 0 .....ooo x = 0 /
@ooooo.. z = 0 .....ooo z = -5 / z -= wx-1
........ .....ooo
........ .....ooo
........ .....@oo
........ ........
........ ........
........ .........
........ x = -5 / x -= wx-1 ......... x = -2 / x -= hz-1
........ z = -2 / z -= hz-1 ooo...... z = 0 /
........ ooo......
........ ooo......
..ooooo* ooo......
..oooooo ooo......
..@ooooo @o*......
Hope this helps!
-TJ