Robin Scholz Triphilia variation. I didn't even realize there were more steps... so I stopped wehre I did. Did the hex spread. Turned that into triangle twists. Folded over those flaps and inverted. I had been wondering where I'd first seen this design. At least I finally figured out its origin. It's a lot of folding, but worth it. And none of the steps are very difficult to understand. There's a final step where you squash the backside of the design. I didn't realize that. I'll need to try that at some point. It's a brilliant variation on a classic origami tessellation. Simple, yet complex. As any good tessellatin should be. Update: I completed the additional steps to recreate the true triphilia tess. Last photo shows it backlit. This is one of those tessellations that has many simple steps that take up a lot of your time. It really requires a higher level of devotion to the craft. The final result is pretty spectacular.

I found a tessellation on flickr that I wanted to replicate. I'm not really sure if this is a duplicate of it or not. I only had a backlit image as a guide and that tends to distort the structure some. At any rate, it inspired this. Whether it's the same or not. This one results in a really stunning back light image. Open back hexagon twists surrounded by rhombus twists. The repetitions are joined by open back triangle twists. It's kind of somewhere in the middle between a traditional tessellation and a flagstone tessellation.  Because the foundation is open back hexes, the rhombuses land on the bisectors of the triangle grid. The open back triangle twists land the same way. The hexes and triangles are on one side of the paper, while the rhombuses are on the opposite side. Second image is the reverse side of the same tess. As I was mapping this one out on the grid I wasn't sure it would work out well, but I was pleasantly surprised with the end result. ...

 It's time for a new origami tessellation. This one is simple in theory, but slightly harder to in execution. Hex twists on the rear with blunted triangle shapes on the front. A true tessellation. The triangular shapes off the center module directly form those that surround the subsequent hexes. Simple to conceive. A little more difficult to fold. But nothing too impossible. A really satisfying end result. Front is first pic. Back is next. No real need for a crease pattern. The design is self explanatory.