Here's a new tessellation that I folded recently. It's similar in concept to my ' 'Lilacs and Lavender' tessellation '. It combines flagstone techniques with tucks, collapses and twists for a unique layered effect. In this particular tessellation, the central point is an open hexagon connected to six rhombuses. From there I tuck trapezoids into the edges of the rhombuses.  In order to continue the tessellation, I then add more open hexagons tucked into the edges of the trapezoids and into the points of the rhombuses.  It's then that the center point can be repeated. The full pattern can continue in that way ad infinitum.   Finding these patterns that can become origami tessellations is to me, the most fascinating part of the whole process. They're like little puzzles that you didn't know were there until you found them.  It's a somewhat difficult tessellation to fold. Nothing all that crazy, but it does take some patience.  If you wish to fold...

I wanted to do a tessellation with a very specific pattern I had in my head. That pattern is rhombus > trapezoid > trapezoid > rhombus.  Which is a very easy pattern to repeat horizontally. Repeating the pattern vertically however, proved somewhat trickier.  It took a  little while, but eventually, I figured a pattern that worked. The unusual thing is that it's both a circular and a linear pattern simultaneously. See the crease pattern below for further clarification.  The circular pattern is asymmetrical. With triangles, rhombuses and trapezoids all rotating around large hexagons.  The linear pattern is symmetrical. Repeating the set of rhombuses and trapezoids evenly and consistently. It's a twist based tessellation that was much easier to fold that it was to conceive.  

 This twist based tessellation is an idea that I had a while back. The first time that I folded it, I spaced things too close together and didn't really like the outcome. So, this time around I went with broader gaps between the shapes.  The shapes are linear rows of rhombuses. Pretty simple stuff. But an interesting thing you can do with this design. Theoretically you could do this with any design that features 90 degree corners.  Anyway, instead of folding flat corners, what you can do, is fold triangle twists at the corners. They twist in opposite directions and that  creates a 3dish sort of curved fold connecting them. My paper was kinda soft for it to really work, but you get the gist.  The back of the tessellation comes out as a series of many parallelograms. Crease pattern included.   

Found another interesting trapezoid based origami flagstone configuration. It's design is kind of a natural progression from the pattern in my ' Walk in the Park' tessellation .Same starting point, different follow through. It shows how incredibly versatile trapezoids are in tessellations.  'Walk in the Park' used rhombuses to create its alternating flow of trapezoids around hexagons. In Rolling Stones here, It's all trapezoids flipping, churning and spinning around the hexagons. I think I like this pattern a little more.  Back side is typical for a flagstone tessellation . Many, many triangles. Crease pattern below.

 This is one of my more bizarre original tessellation ideas . When I'm not busy being obsessed with flagstones or elaborate collapse patterns, I occasionally devote a little time to unusual twist folds. This is one of those tessellations.  The design is actually pretty simple, but the result that it yields is pretty out of the ordinary. That's because of the close proximity of the various folds to each other. It creates weird overlapping shapes  and it also makes it harder to fold even though the actual shapes are pretty standard. The center is a large hexagon. A shape I rarely use. Then some natural trapezoids are tucked into it. Pretty normal so far. But then I add some 'tented' triangles. The two edges go in one direction and then the line that bisects them goes in the other. You can see it pretty well in the crease pattern that is below.  If you want to fold this origami tessellation , I recommend a grid larger than 32 pleats, so that you can get full repetitions...

 This flagstone tessellation is a variant of my Skyscrapers tess, It uses the same center, but then repeats it using a different method. The pattern is open hexagons with two upright rhombuses per side and then trapezoids at top and bottom. The module naturally repeats horizontally without any additional shapes. This time around, I used long rows of rhombuses in order to repeat it vertically. Since this tessellation is from back in the beginning of May I was sure that the crease pattern was lost, but it turns out I still have it. Included below.

 This origami tessellation is just a fun little idea that I had about a month ago. It's pretty basic, but I think it's a cute pattern. Something to do when you don't have a lot of time or aren't feeling up to doing the more complex stuff. The idea was to have small pyramids made up of micro grid triangles. That's all there is to it! To fold it I did a classic small hex twist on the back. Then I folded a series of 6 three pleat long arms all around it. These created the tiny triangles on the front.  That's it. Super easy to do. I used tant paper, but I think this particular origami design would've looked way cooler with thinner paper that could be backlit. I don't think that I drew a crease pattern before folding this. But I've unfolded it to create one. 

This original origami tessellation I just did last Saturday..I had the diagram for it for a few weeks and finally decided it was time. When I examined the diagram more carefully, I realized that what I'd drawn didn't actually work as a flat fold. I tinkered with it a little more and finally arrived at the finished idea.  This was a beast of a tessellation to fold. I mean, it was just super, super hard. It fought me every step of the way.  What makes it such an advanced tessellation is that it uses multiple flagstone elements, but it also layers them all on top of each other. The original inspiration for it started out innocent enough. Just three trapezoids twisting around an open triangle. I completed the rotation by attaching another trapezoid and then repeating the triangle set again until it came full 360.  What I was left with in the center was a rather large gap to fill in. Many small triangles and an open back hexagon did the trick.  Because folding it was so...

 This is a tessellation from back in mid May. It's kind of a weird one. It starts with a collapsed hexagon and then there are teardrop shapes tucked into it. In order to repeat the pattern, I simply added some long 'arms'. The edges of the 'arms' are half hexagons. The remaining spaces were filled in with six sided 'pyramids'. It's a fairly simple tessellation , but actually folding it is a little tricky. Only because there are a lot of small, fiddly shapes to work. I'm sure I had a diagram at one point, but where it is now is anyone's guess. I did, however, unfold it to crease a new one.

 This is a flagstone tessellation that utilizes alternating trapezoids and triangles spinning around a small hexagon on the other side. What this particular starting point creates is the opportunity to a rotation of six pyramid like shapes. Those shapes are made up of four triangles and three trapezoids. I used these same shapes to create another flagstone called Crowded Temples . I like the fluidity of this new tessellation a little more.  You can see the reverse side is mostly triangles with a few small hexagons. Even though it looks like it should be very hard, I find that tant paper very readily submits to flagstone folding. It's still difficult, but not as difficult as it appears. Crease pattern included.

 This origami tessellation is based off a pretty simple idea that I had. But since its design allows for so many shapes in a relatively small amount of space, it winds up looking very impressive. The premise is six rhombuses tucked into each circling around an open back hexagon. Then I add a small triangle tucked into the outer edge of every other rhombus. I use that triangle to repeat more rhombuses and to repeat the center point.  The edges of the three other center rhombuses have large triangles tucked into them.  I may have a crease pattern. Need to find it. Filed under: June 2026 Origami Tessellations

  Using the same starting point as two of my other original tessellations ( Eyes of the Pyramids and Stock Market ), I did a third original design. The first two were majority flagstones, but this tessellation is built strictly with collapses. The center point is three trapezoids/three small triangles tucked into the central small triangle. In order to repeat the pattern, I added open hexagons into the long edges of the trapezoids. Around the open hexagons there are alternating trapezoids and triangles. Using the short outer edges of those secondary trapezoids you can then repeat the center module.  The remaining spaces are reconciled using large and small triangles. This is a difficult tessellation . Collapsing the small triangles isn't easy. 

 This is a difficult origami tessellation that uses collapsed hexagons to create series of 12 rhombuses around a center point instead of the typical set of six.  The hexagon collapses can be oriented top or bottom in any pattern desired. You can also swap in small offset hex twists in place of any of the collapses.  I don't know why I used thin paper for this one. I should've known better. The thin paper made it much harder to execute.  My original plan was to flatten everything and then go back and re-orient the directions of the folds to create a more cohesive pattern. However, the paper was not strong enough for that. If you decide to fold this I recommend thick paper.  I might try to fold this tessellation again sometime with better paper, but for now, I leave you with my first, semi-successful attempt.  Crease pattern included. 

 This original tessellation continues my exploration of patterns that can be created using a specific starting point. In this case, the starting point is a set of three trapezoids tucked into the points of a small triangle. My Eyes of the Pyramids origami tessellation uses the same starting point, but has a much different overall design. This is also a mixed technique design. It uses mostly flagstone collapses, but the central triangles between the trapezoids are tucks.  Often, when I hit upon a beginning point idea that works, I'll explore it for additional possibilities. A lot of people probably do the same. When working with geometric patterns there are generally multiple configurations to be found.  These standard shapes fit together in seemingly infinite ways.  In this particular origami tessellation when I repeated the central concept, I found that the trapezoids fits around an open hexagon in the remaining spaces.  Depending on your experience you mig...

 This is a twist based tessellation that I created a few weeks ago. I was just looking for an unusual pattern that could work without too much fuss. I had the idea to rotate 3 trapezoids around an open hexagon and then tuck two triangles into each one. It was easy enough to repeat. Just angle the trapezoids off of each other. But that only gave me three repeated sides, not six. I don't remember how I decided I needed to add open triangles, but those filled in some of the other areas.  No idea what became of my original crease pattern. I seem to loose track of them quite often. But I will create a new one and add it soon.  I actually find the back side more interesting. That's just my opinion.  This is an intermediate tessellation . It would be easy, but I think how the small triangles connect to the open hexagons on the reverse side make it a little bit tricky.  Crease pattern added.