I've been sticking with the parallelogram shape that I learned from the gatheringfolds website. The photo I found there had four different variations on this shape. So this is another. I really like this one in particular. It's simple, elegant and yet impressive.  It's pretty straightforward once you get used to the underlying structure. The nature of the main shape requires hexes on the back to be offset from the triangle grid.  The parallelograms cross two pleats lengthwise and bisect one on the short sides. Small triangle twists on the rear unite the triads.  It's helpful to draw the pattern out on a piece of triangle grid printed paper beforehand. It really makes it easier to understand.  Large hex twists form as you work the repetitions. .  They occupy the area of the grid between two pleats wide and one pleat wide. I have a crease pattern that I drew, but I'm not sure it's appropriate to share as gatheringfolds is a for profit website.  

Fiddling around on google searching for crease patterns I came across an image from a site called gatheringfolds. It was a single image of four different folded tesses. None of which were crease patterns, by the way, google. Hint. Hint.  The image is copyrighted, so best not to post it here.. But I liked the designs.  When I clicked through to investigate I learned that the site sells their crease patterns and tesses.  I like figuring these things out on my own anyway. So I worked out one of them so far and was able to fold it also.  I have the crease pattern I drew, but since they are  charging for their designs and they have copyrights posted, I don't suppose it's right to publish that here.  If you like the design you'll either have to sherlock it on your own or pony up the money to purchase it from them.  It's an interesting pattern. It's pretty humble on the front without backlight. But when you light it up on the reverse side it really sparkles....

  For some reason I find it harder to wrap my mind around square grid tessellation crease patterns. Hexagonal/triangular ones just make so much more sense to me.  Still, just to add variety, sometimes I try to come up with one or fold someone else's.  In this case I found this crease pattern that Robin Scholz had uploaded for 'Roadkill Rose' by Philip Chapman-Bell.  Apparently Bell did a single molecule and then Scholz tessellated it.  I had to modify it slightly to fit my 32 pleat grid.  In hindsight, I would've liked to space the repeats even closer together. I had pretty weak paper and was still able to get a nice finished product.  It's an interesting design. 

 Here's a new origami flagstone tessellation that might be somewhat original. I've seen similar designs, but not this particular configuration.  It begins with a classic ring of triangle twists around a hexagonal twist on the back.  Then there are those odd polygons which alternate between following the grid and bisecting it.  I've included a photo of my crease pattern and a view of the backside below. 

  This is a literal repetition of the Robin Scholz amizade triangles around a hex twist on the rear.  I believe he's already mapped it and folded it.  But I thought I'd give it a try.  It's a circle of of six triangles twisted gingerly around a hexagonal twist on the back of the paper.  The design naturally repeats by flowing seamlessly one into the next.  No figuring out what goes in the gaps. There are none.  It's a tough fold. Especially when you don't have great paper.  Satisfying to complete though.  Hard to believe that it's just a single, uncut sheet of paper. Yet, somehow, it is.  Oh, those edges. The edges always suffer. I've usually lost my patience by the time I reach the edges. 

 I was messing around with a pattern by Byriah Loper and somehow went off on a tangent which gave me this result.  It's an odd pattern that is hidden in the triangle grid.  It was an accidental discovery.  Reminds me of an old Atari 2600 video game. 

 I saw a photo of a Robin Scholz tess that was alternating triangles and rhombuses around hex twists. I was going to suss it out, but whimsy struck and instead I took the pattern and found a variation on it.  It was a very nice result.  It's a great idea, which I had been playing around with in my head, but hadn't really fully explored. When I saw the photo of a finished model, it really cemented the notion and I just let it take me where it wanted to go.  These are the results.  The combo of rhombuses and triangles form larger triangles.  The negative spaces are oddly offset hex twists.