I was tipped off to some origami tessellations by Momotani (Yoshiide Momotani, I think) that were on display at a French origami meeting in May 2006. Here’s a link to the photo album:
I’m hotlinking the two most relevant images below- these will take you to the specific image pages on the photo gallery. There’s a lot of great tessellations here, quite a few of which various members of our origami tessellation group have been folding in the last couple of years. I’ve never seen any of these before, but I have to imagine that Momotani-san has been folding these sorts of things for decades now. It just goes to show you that there’s very little in the geometric origami world that someone else hasn’t thought of before, or folded before, completely independent of what you’ve been up to.
I can only hope I have a chance some day to meet this tessellation maker and admire some of the beautiful art. Anyone with more information on where I could see some more of Momotani’s tessellations, please contact me and let me know!