The classic six triangles twisted around a small hexagon on the reverse is a cornerstone of tessellating paper. In this case, I just added a little rectangle and then repeated the six triangle module. Some blunt cornered triangles form in the negative space.  Whenever I fold this type of tessellation I'm always reminded of Robin Scholz's videos where he effortlessly folds the same type of configuration piece by piece.  The paper always seems to behave exactly as he wants.  As much as I try to do it that way, it never works. I always end up with a completed center that starts to come undone as I work outward. I wind up partially folding the rest and then pushing it altogether as a whole. .  Nevertheless, regardless of the method, I'm still pretty pleased with the end result. 

 Still deep into my fascination with Arseniy K's tessellations, I set about reconstructing his "Crows Having Fun" model.  A few  false starts later, it coalesced for me and I had the crease pattern ready to fold.  It was a nice fold. It wasn't too hard. It wasn't too easy. It was just right. It fits perfectly on a 32 pleat triangle grid.  Those odd little beak shapes circle around large hexagons. Triangles negotiate the spaces where their edges meet.  The negative space triangles on the front are blunt cornered triangles on the reverse.  It was actually knowing what shape would create the negative triangles on the front that led me to the solution. I started from there and worked outward on grid paper It's a wonderful and unique design.   Crease pattern included below. 

Was working on figuring out another design on Arseniy K's instagram when I stumbled upon this alternative crease pattern. I knew it was not the answer to the puzzle I was trying to solve, but I liked it. So I forged ahead with it.  It turned out quite nice.  Slightly tricky to fold. Very crowded on the reverse side. Lots of overlaps.  I did later hit upon the structure for his actual model and have since folded that as well. It will be my next post.  It's neat though, how the process of figuring out another fold led me to this unique variation.  Crease pattern is included below. 

  I'm a big fan of Arseniy K's origami tessellations. I often check out his stuff for both reverse engineer challenges and inspirations for new designs.  I was poking around on his instagram and really liked a piece that featured a trio of nested small triangles. He titled it "Crushed Ice for Cocktails".  Figuring out the pattern wasn't too bad. However, when I went to fold it, all I achieved was a really limp, sad piece of paper that was never going to do what I had intended.  It's a very dense and complicated crease pattern which I may attempt again sometime with sturdier paper.  But since I already had the structure figured out, I decided to modify it a bit to make it a somewhat less intense undertaking.  This tessellation is the result of that.  It's a three dimensional fold.  I thought about literally doubling everything for a flat fold, but I opted against it since it would have so little repeat on a 32 division grid. Side note: I really nee...

  So I recently stumbled upon a shape that was new to me. My Wagon Wheels Tessellation post reflected the first time I folded it. This idea for this tessellation quickly followed.  I was simply looking to modify the original idea to find a flat fold version. Large hexagons with the chamfered rectangle off of them. Large triangles in the negative spaces.  I had to do this odd little bisector fold where the points of the triangles met with the the axes of the hexagons. I've used the technique before on a few occasions.  It feels a little like cheating, but not really. All's fair in love, war and origami.  Crease pattern is next. . 

 The origami tessellations group at flickr is a great source of ideas, inspiration and learning. I went there the other day in search of all three.  I saw this really nice flagstone that had just recently been posted. It was folded by 'Origami Yonca' and designed by Arseniy K.  It's trapezoids repeating outwardly from a central circular pattern. It very much reminded me of Joel Cooper's "Just Rhombii", only with trapezoids in place of all the rhombuses.  There was no crease pattern posted, so I set about mapping it out in order to fold it myself.  Having folded Cooper's "Just Rhombii" in the past (with the help of his crease pattern), I didn't have much trouble determining the crease pattern for this one.  It's a really beautiful design that I would never come up with on my own. But it was very satisfying to determine the architecture and use that to recreate it.  I thought it was especially cool how he finished the edges.  My crease patt...

 So I stumbled upon this shape I'd not seen before. I'm pretty confident all the shapes have long since been found,  but it was inspiring to find something I'd not personally encountered elsewhere.  I found it while searching for a new shape that would be compatible with triangles that are folded in on themselves.  It's a 3-D fold.  The photo doesn't really capture the triangles well, but you can sort of see them there in the negative spaces like faded ghosts. They're much more visible in the back side photo that's next.  This idea/fold set me off on another tessellation. A similar assortment of shapes that instead fold flat. That'll be my next post.  I do have a crease pattern. For those that want it.