Hi Chris, We have been in touch before in regards to this wonderful triangle. I just found this discussion group and thought I would introduce this subject for discussion. I have been working, on and off, on trying to master the layout and, more importantly, the understanding of the layout as it relates to the koh-ko-gen and the splayed stool. The ultimate goal, of course is to use this knowledge to fully understand the hip rafter layout as it applies to the Japanese roof. So if this is something you would like to tackle let me know and I will post a few questions that I have. As the saying goes, a picture is worth a thousands words, and because this site does not seem to allow for drawings, we may have to come up with some way to post drawings. Hope this finds you well, David