Here’s a basic crease pattern for a dodecagonal flagstone pattern, overlaid on top of a triangular grid. The spacing between the hinges is not equal all around the dodecagon, but the actual tessellation itself is the proper dual of the 12.12.3 tessellation (two dodecagons and an equilateral triangle.) What that means is we get two really big spiky 12-sided things and smaller triangular twists between them. I haven’t tried it but if you actually squashed these they would probably overlap! I like them in their “uncollapsed” state, as I think they are more interesting as rigidly foldable constructs… If you want to download the PDF version of this file, you can get it here: www.origamitessellations.com/docs/dodecagon_flagstone.pdf Here’s the folded version:

Hi everyone, I’m getting all packed and ready to head off to Japan tomorrow for the JOAS convention this weekend in Tokyo! They’ve honored me quite a bit by inviting me there as a guest, and I hope to make it a very tessellation-centric time 🙂 I’m looking forward to meeting lots of new friends! I thought I’d post a crease pattern, as it’s been quite a long while… So here’s a full CP for a design a did a while back called “Rhombic Flowers”. I’m not sure I have a finished model of this pattern, it’s just an idea that was kicking around my head; but it looks pretty neat, using rhombus twists to make star shapes. A good exercise in playing with rhombic twists, for sure 🙂 Let me know what you think! It’s on a 64 pleat grid, but by no means do you need to start so large. a 32 grid would be perfectly fine to start, bonus points for doing it on hexagonal paper. (You’ll like the final pattern better …