I saw this tessellation somewhere. I can't remember where now. But I liked it enough to figure out how to fold it. Little did I know when I started that it was a flagstone tessellation. I should've known, but I didn't find that out until I started puzzling out its construction. . They can be a pain. And this one was. There was a lot of pre-folding. That was 90% of the work. After that, it was a matter of slowly coaxing all those pre-folds into their proper places. It was not an easy task. It was however, a very pleasing result. It's a series of hexagon twists on the back of the paper. Then you go to the other side and surround them with rhombuses. Some large triangles allow everything to lay neatly together. The gender of the folds was quite important in achieving the final collapse. Having the right valley and mountain folds was critical. The hexes had to go to the back. The rhombuses had to go to the front. The connective triangles also had to go to th...

 Here's another Peter Keller flagstone. The challenge of folding flagstone is quite appealing. it requires a lot of patience and persistence. Even after you fold the standard grid there are still many more folds to add. It's a whole lot of prep work before you ever begin the actual creation. That's probably true of most origami tessellations. All the work is in the prep. Then you allow that work to pay off in your resulting collapses. With flagstones you also have to work both sides of the paper. The design will have triangles on the back that need collapsing in order for the front structure to work together. I am always grateful when origami artists publish their crease patterns. And Peter has many published on his flickr account. The one for this design can be found at: https://www.flickr.com/photos/syngola/4968245966/in/album-72157624777290209/ To me it's small pointy stars which are surrounded by much larger flower like petals. I mostly work on a 32 iter...

This tessellation consists of hexagon twists surrounded closely by open back triangle twists. The back lit versions are neat, but I actually think the unlit versions are more beautiful in thise case. That's just my preference. You may see it differently. It's interesting how the triangles in the front images form star shapes around the central hexagons.  There are similar designs out there that use a combination of hexagon twists and open back triangle twists.What's different in this case is that  they've been laid out as snugly as is possible. It was a fun fold. Not terribly difficult, but just tricky enough to make it feel like a genuine accomplishment.