When I'm stuck for ideas for my own tessellations I like to try to solve those of others. This one is by gatheringfolds. It's intriguing  in that it's mirror images on either side. She has a talent for creating/finding these kinds of designs.  It's composed of open back hexagons and triangle clusters.  I used yellow 20 lb printer paper to fold it.  When I first set about to solve it I was confident I knew it right away. I did fumble a bit, but  with a little persistence the solution coalesced.  Once I knew how to proceed it was still a little finnicky to fold, but nothing too difficult.  It's a wonderful design that I enjoyed figuring out and recreating. Kudos to her on another great idea.  My crease pattern is included at the bottom. 

 Way back in December 2021, I solved a tessellation by Arseniy K and posted it as Chasing the Folds Tessellation . Yesterday, I solved it again without realizing that I already had.  This time around I used a nicer paper and was able to take cleaner pictures.  I also drew a pretty clean crease pattern for it as well (see below). For some reason, there isn't a crease pattern in the original post.  His version used longer arms and therefore bigger triangles. My version is more compact.  It was maddening to fold. I probably should've stuck with original, larger  configuration. But It is done. Again.  No telling if I'll forget again and do it a third time. 

 This tessellation is a little different than my usual. Just an odd idea that I kinda made work, even though it didn't really want to do so.  Right triangles arranged around central hexagons.  It's very similar to open back triangles around hexes, except everything on one side is a little askew.  Sometimes I get stuck on the notion that tessellations have to follow certain rules. But really, they can be whatever you can imagine and can execute.  I believe I have a crease pattern. I just need to find it and upload a pic. Hopefully soon.  Update: added crease pattern below.  If I remember correctly, when I folded the model I actually moved the right triangles one pleat closer to the hexes  than is drawn in the sketch.  Either way works. 

 I found a picture of the crease pattern for this tessellation in my google photos.  It was from a few years ago. I don't recall where I originally found it. Although, it looks like it may be a Daniel Kwan. Not sure though.  Update: It is a Daniel Kwan. Link to his crease pattern is available at the bottom.  It looked innocent enough. So off I went to fold it.  It was actually very difficult to fold. As I was going through the process, I had a dim recollection of possibly having tried to fold it before and not succeeding. It's also a configuration that I believe I've seen in its completed form and have attempted to reverse engineer, but never solved.  This time around I was able to complete the tessellation using the saved crease pattern.  It's a tightly packed configuration. Especially on the reverse side. It's pretty tricky to get the paper to do what you need it to do.  I used 28 lb. printer paper. It was touch and go for a while, but it worked out in the end.  D

 This is one from several years ago that felt ripe for the refolding. I folded it the first time almost exactly four years ago. I don't recall how easy or difficult it was to solve originally. You can view the original post for the  Stars formed by Hexes Tessellation  from way back then.  It worked out fine the first time around, but I was hoping to maybe get some nicer photos this time around. Which I did.  It was originally folded from someone else's pic that I'd found on google. I'm not sure who the creator is.  I used the crease pattern I had saved then to refold it this time. It worked well.  I'm actually more fond of the reverse side of the tessellation that appears as circles and tiny triangles. Your opinion may differ.  You can reference the link to the original post for a crease pattern.  I did however, create a new crease pattern as well. Which is below.  Which one will be most helpful depends on many factors. But between the two of them, it should be very

  Within the origami tessellations genre there are three distinct sub-sections. There are twist fold tessellations. There are flagstone tessellations. And there are collapsed shape tessellations. I've always found twist folds are easier to execute and generally less fussy. Collapsed shapes are in general, trickier to work.  Flagstones are kind of a hybrid of twists and collapses. I think they're easy, but very time consuming.  Each style offers its own unique array of possibilities for a finished design.  This is an example of a collapsed shape tessellation.  I came up with it just fiddling around with combining an assortment of shapes native to the grid.  At its most basic it's just different sized rectangles around hexagons.  The real handiwork is actually getting all those competing shapes to coalesce.  It's a tessellation probably best attempted in the dead of winter when it's very dry. But I went ahead with it even though it's been soggy here.  For a while,

  This is another tessellation from an old picture left in my google photos. I'm not aware of who is the original designer.  It's a very simple design that was quick and easy to solve.  It felt so basic that I wasn't really interested in folding it full size, but I wound up doing it anyway.  Mostly because the weather lately has made folding more intricate models not really feasible.  So I thought rather than trying to do something harder and failing because of soggy paper, I can least successfully fold something simpler.  And here it is.  Made up my own name for it. Don't know the original.  I actually wanted to fold a variation on this idea with closed collapsed hexagons where the triangles nested close together.  I gave it a go, but it didn't work out very well. Perhaps another time.  Still, this version of the tessellation is pretty nice.  To fold it, collapse the third size hexagon of the grid and fold triangle twists off of the points.  Crease pattern included

 This tessellation is folded from an old pic I found in my google photos. I don't know who the original designer is.  It's not a terribly complicated design. It's kind of basic. But I thought it was pretty cool just the same.  The original model used larger parallelograms than my version does. That modification also meant smaller triangle shapes between the parallelograms.  But other than some shrinkage, they are the same.