I’m sorry, I don’t know the name of what I’m asking for, but I do know it’s more of a shoji or traditional joinery question than it is a question of the kumiko itself. Your kumiko looks lovely by the way.
The kumiko itself I have jigs for and is the part of the process I’m most excited about getting to. However right now, I’m working on the outside frame of the lamp, what looks like might be the oak peices in your photo.
Specifically, the joint I’m looking for is the three way joint to join one long leg of the lamp to the bottom of the frame that houses your kumiko.
I think you’re refering to the mikomi and mitsuke. Looking at a book I have on the subject, I think I’m refering to joint to join the stile to the bottom rails and the top rails, treating the lamp as a shoji with 4 sides to it. Did you use a joint for this, or just wood glue (I see no nails).