This is a Joel Cooper origami tessellation that I stumbled upon quite accidentally. I love the design. Wish I'd thought of it.  It wasn't too difficult to solve. It wasn't too difficult to fold either.  It's just a brilliant idea that is as much a pleasure to reverse engineer as it is to execute.  It's basically two modules.  A pyramid made up of trapezoids around a triangle twist and six trapezoids around a hexagonal twist.  If he gave it a name, I don't recall.  In the backlit version the hex twists are more prominent. While in the unlit photo the pyramids tend to stand out more.  I did draw a sketch in order to facilitate solving it. I'll upload that sometime soon.  Update: Crease pattern added below. There's a different tess in the top left corner of the sketch, which doesn't pertain to this one.

This is a tessellation I conceived of when I just thought to myself what if I put trapezoids around an offset small hexagon. From that point I just followed the geometry to create a nicely flattened and repeating pattern.  It kind of feels familiar. Like I may have seen it before, but I'm not sure. I may have just seen similar ones. Most tessellations have a lot in common with each other. I wasn't actively trying to solve anyone else's design at the time of conception. I wasn't looking at any photos nor did I have an image in my head.  As I said before it consists of small offset hex twists with trapezoids around them.  There are triangle collapses joining the edges of the trapezoids.  Rhombuses form in the spaces that are created by the geometry of the other two shapes.  It's not a terribly tricky design to execute. Although collapsing the triangles is a little fussy depending on the size of paper and grid you would use.  It repeats pretty nicely on a rel...

This is yet another Arseniy K tessellation that I was able to solve. Actually, I solved it a few weeks ago, but only just folded it a few days ago. It's a flagstone. Those are generally not that hard to figure because they almost always follow a very particular structural pattern. So once you know that, it's not difficult to determine a wide range of designs.  I had actually done the central design a while back, but hadn't taken the time to map out anything beyond that until recently.  As far as folding it, flagstones are always labor intensive and difficult to get situated.  We never really had a winter here this year, so my paper has been less crisp than I would like (especially for a flagstone), but I went ahead and gave it a go anyway. When I got to the edges I kind of lost the mission. The paper had pretty much given up on me.  I would like the folds to be tighter, but perhaps in another try at another time.  Still, every solved tessellation is food for tho...

 So, this tessellation is me being lazy and just folding someone else's already thought out crease pattern. It had been hanging out for a few years inside my google photos and I finally decided to give it a try.  Looking at it, I thought that it looked like a bit of a pain to fold. However, when I actually did it, it wasn't really a big deal. It came together quite nicely. I don't know whose idea it is. It may be a Daniel Kwan. I got a lot of crease patterns from his flickr back in the day.  What really struck me about it, is that it's similar to a lot of other patterns I've been working with recently. Some from others. Some from myself.  It shares that symmetry of three front and three back on a hexagonal twist. It goes on to add an interesting array of coalescing shapes.  The crease pattern I used to fold it is at the end of this post.  If it's yours or you know to whom it belongs please let me know. 

 The inspiration for this tessellation is from an idea I had a few years ago. The first time around, I came up with a much more loosely spaced design.  I called it Rhombus Circus .  While I was able to bring that original tessellation to fruition, I always felt it could be better.  This time around I used the same central module again, but managed to create a much more elaborate and intricate repetition.  It's an idea that had been lingering in the back of my mind ever since I first came up with it.  At long last, I finally found a way to bring it to life in the way I had originally intended.  It's almost exclusively rhombuses with just a few triangles. No twists. Just collapses.  Personally, I am a big fan of this type of tessellation ever since I first discovered it by folding ' Ryan's Tessellation '.  The view of the reverse side is pretty telling. It's a dense and finnicky collapse.  A small open collapse of a portion of the tess is ...

 This origami tessellation is one by Arseniy Koom that I was able to recreate. He named it Autumn Leaves.  At first glance, it looked pretty straightforward. And in truth, it was one of his easier to solve designs.  The paper that I used didn't really do it justice, but it came together okay for the most part.  A lot of his designs require some pretty sturdy paper to execute them to their fullest.  I personally, love a tricky one, even if it doesn't love me.  Crease pattern is at the bottom of this post. 

 This is a tessellation that I solved way back when I was just learning to solve other people's tesses. I thought it would be cool to try again. Especially since I didn't save a crease pattern the first time around. So I wanted to have one I could save and share.  Funnily enough, I still don't have a crease pattern. I just folded it without mapping it out first.  I will however, add a crease pattern once I unfold the design and take a few moments to draw it.  The original design and my original recreation was done on a 48 pleat grid.  I was hoping to skink the spaces between and squeeze it into a 32 pleat grid, but it simply doesn't repeat as intended under those constraints.  Nevertheless, it's a cool design still. Will add the full crease pattern soon.  It's interesting to note that the design is made up exclusively of triangle twists and no other shapes.  I'm not certain who the original designer is, but it has the look and feel of one by Migue...

  This is a tessellation by Arseniy K that I recently solved. It's one of his less intense designs, but it's still very beautiful and a little bit tricky.  I don't think he named it, but I'm not sure.  It's a triad of rhombuses around a triangle twist. Then he adds some larger triangles also around another  triangle twist.  He sees possibilities in the paper that don't usually occur to me.  I oriented the center point differently, but otherwise, it's the same design. A very elegant composition.  Will add my crease pattern later.  Of all the origami artist I've followed and solved, I think his creations are the most fascinating.  They range from not too crazy to insanely intricate.  All in all, he's one of the best in my opinion. He makes me work to solve his and his ideas also inspire me to come up with my own. He's a true artist of the paper's geometry.  My crease pattern sketch is at the bottom of this post.