This is one of those exceedingly difficult tessellations that I occasionally do.  It's from maybe a month ago. I struggled to get a good photo of it.  It's more about the challenge of can it be done than it is about how mice the final product might look.  I don't really remember how I did it. Looking at the back view, it looks to be collapsed hexagons.   Shockingly, I have the crease pattern, which looking at it, is pretty crazy. I'm honestly not sure how I managed to fold it to completion at all. It's pretty dastardly.  Sometimes you just get an idea and you have to see it through. A lot of times those really complex ideas are much better in theory than they are in real life.  But it still feels good to make it happen! Filed under: March 2026 Origami Tessellations , though it's probably from back in January or February. 

 When I mapped this one out, it looked pretty ordinary. However, when I went to fold it, I discovered that it had some obstacles.  It's concept is inspired by 'Chevrons' which was created by gatheringfolds. That design is alternating rhombuses.  In this case, I added rows of alternating triangles in between the rows of rhombuses.  What I thought would be a pretty straightforward flagstone tessellation turned out to be much more complex.  Some of the triangles on the back side needed to be folded over on top of each other. It was a technique that I really hadn't done before. It's quite difficult to get everything situated neatly under such circumstances.  It turned out okay. Could've been better for sure. Honestly, I'm surprise I was able to complete it at all, given the fact that I was not expecting those challenges.  I drew it out quite spontaneously on the paper on which I folded it. As far as I can recall, there wasn't anything all that unusual abo...

 This flagstone is from a while back. I don't think that I've uploaded it before. The premise is six sided pyramid type shapes comprised of four triangles and three trapezoids each. They all revolve around a center point of six triangles twisted around a small hexagon on the other side.  There are one set of extra triangles off of the center before the pyramids happen.  That's it. It's a pretty seamless design. There are no tricks or anything to get it to work. Everything flows very nicely.  Don't have the crease pattern anymore.  It's easy enough to map. Just follow the shapes.  It's a difficult tessellation to fold only because of all the close tucks and collapses. But it's a pretty easy to understand design. 

 This is a very easy tessellation that I came up with just for fun. It uses trapezoid twists as well as small triangle twists. There are other shapes that fill in the gaps, but those two shapes are the main premise.  I just wanted something quick that would look interesting when it was finished. I also wanted something original that hopefully hadn't been done before. So, that was my motivation here.  It's purely twist based and it has a pretty widely spaced out structure.  I used ordinary yellow printer paper and a 32 pleat grid.  I took a picture of the paper before I started folding it, so that I could upload it as the crease pattern.  There's one wrong line in the right middle. I realized that as I was in the midst of folding it, but by then it was too late to fix the line and take a new photo.  It's on the right arm of a the triangle twist situated just above center right. Just fold it was a normal triangle twist.  Filed under: March 2026 Or...

  This is a really old tessellation . Probably from many years ago. I probably never uploaded it because it's very simple. But, when I found it a little while ago, I thought that it deserves a place just as much as any other tessellation does.  It's highly unlikely that this is an original idea. But it was new to me at the time.  Even though it's pretty basic, it creates quite a pretty pattern. It's also not super easy to fold. It's not hard either. But all those little tucks can get fiddly.  Back then, I used to do my tessellations with used printer paper. So, it's not super neat around the edges. I still like it, even so.  Origami tessellations of this sort often end up with an interesting structure on the reverse side. As I dimly recall, you usually get some natural shapes, but the connections land in such a way that you have these small, single pleat connections that have to be folded in half.  It's not particularly hard to do. Although, it does take a...

 This is a tessellation from quite some time ago that I don't think that I ever posted. Not sure why. It's a pretty cool pattern. It's similar to my 'Space Invaders' tessellation , which some people really seem to like. So perhaps, this one will be of interest as well.  So, it starts out with an open back hexagon with right triangles around, just like 'Space Invaders' does. But then, I tuck the short edges of the right triangles into each and that's how I get the repeats.  There are not so willing rhombus twists in the gaps, but it does work.  It was difficult to get a good photo because of the dark color of the paper, but the full size image is decent.  This design kind of takes some liberties with what I would call a flat fold. It doesn't really twist neatly or as expected, but I managed to make it behave. There are a lot of micro triangles which make it an advanced fold . The finished pattern is worth the trouble.  Crease pattern included.

 This origami tessellation from several months ago is a much simpler variant of another that I did back in August 2025 called Proximal Measures .  It uses the same starting point of parallelograms twisting around a small hexagon on the other side.  Then I add some triangle twists off of the tops of the parallelograms. Some large triangles fill in the gaps between the repeats.  Although I conceived of it in the reverse, I have the hex side as the front and the parallelogram side as the back. Just because I like the one side more.  I don't still have the original crease pattern. But I will try to remember to create a new one and add it soon. Update: added crease pattern.  Filed under: March 2026 Origami Tessellations . Although, it was probably done back in August or September 2025.

  Was messing around with a technique that I'd seen many years ago, but had never actually done myself, until now.   Essentially, it's collapsed hexagons and then you use the flaps to create little pinwheel shapes. This is much more evident in the second photo.  Then I added a whole bunch of triangle twists simply because it was possible. Because, why not, right? This is also shown in the second photo.  The entire tessellation was conceived of as shown in the second photo.  But when I was finished and took the pics, I really liked the other side (first photo) much better. It happens to me a lot.  I don't think that I ever drew a crease pattern for this. I did a little mini tester of the center and then just went for it with a full size grid. Freestyle.  I'll try to remember to unfold it and add a diagram sometime soon.  Filed under: March 2026 Origami Tessellations

 This tessellation uses rhombuses twisting around an offset hexagon. Then, I add parallelograms overlapping the rhombuses. Because, why not, right? Next come open back hexagons tucked into the parallelograms. And some triangles tucked into them.  It's at that point that the pattern repeats.  This is an intermediate level origami tessellation . I had a hard time with it because I did it on a very rainy day. But even with soggy paper, it all worked out just fine.  Looking at the back side you can see how the triangles tuck into alternating edges of the open back hexagons. You can also see how the triangles are connected to each other.  It's a pretty straight forward pattern. If your paper behaves anything like mine did, it's going to fight you on staying in the collapses. But, keep working them. Your persistence will pay off. Crease pattern included. 

 This is a another flagstone tessellation that I did a month or two ago. I was exploring rhombuses interacting with parallelograms and did several that played around with those two shapes.  This one is simply alternating them in a linear pattern. I like how the rhombuses form rows of diamond shapes between the parallelograms.  It's not hard to fold at all. It's very basic for a flagstone .  Don't have the original diagram anymore. Will try to remember to add one soon.  It's pretty simple to reverse engineer, though. Just follow the shapes.  Other side is all triangles. 

 I did this flagstone tessellation probably at least few months ago. I don't think that it's been uploaded previously.  It's a linear style pattern of triangles and rhombuses. I did two rows of rhombuses and one row of triangles. Looking at it, I wonder why I didn't just do one row of each.  Another nice variant might be to change the direction of the rhombuses as the rows are repeated. Something for another day, I suppose.  It's a pretty typical flagstone tessellation . Everything is connected on the back using triangles.  In my opinion, linear flagstones are easier to fold than the circular kind. The shapes just seem to fall into place with a lot less coaxing. That's just my experience.  I doubt that I still have the original diagram. It's pretty easy to decipher. Just connect the shapes on the front in the usual way and add triangles in the gaps as needed.  Still, on principle, I will try to remember to draw a new crease pattern for it and upload...

  This particular tessellation was kind of a let me see if I can do it sort of idea. I knew that it wouldn't be one of those pretty design. It's just an exercise in execution. Several layers on top of each other that make sense in theory, but are rather difficult to make happen.  I did make it happen, for the most part. It turned out as expected.  It's from quite some time ago. So, I don't remember too much about it. Don't have my original diagram.  I do know that it starts with open back hexagons. And then I add those very small natural trapezoid off of them.  I think that I added some rhombus twists after that. Not entirely certain. I will have to unfold it to be sure.  If you're interested in testing how much stress your paper can take, this one will do it.  If you want to see how many layers of folding you can successfully wrest from a single piece of paper, this one is for you.  It's absolutely an advanced tessellation . A test of your mettl...