it appears to me that the unit referrred to in the opening post as a " tri rec unit" is more of a rectangle than a square -
the triangle in a square (peaky and spike) ends up as a square.
i think you need to use the templates given, and figure out where the glitch is. if two out of four units are okay, then i think i would assume the templates are correct.
by the way, it is a nice block.