This is a layered tessellation that combines rhombuses and trapezoids.  The rhombuses form a circular pattern around an open back hexagon. The next layer is the trapezoids nestled on top of the rhombuses.  The trapezoids are repeated in a triad around an open triangle twist. That then creates the opportunity to repeat more sets of rhombuses around open back hex twists.  It's a somewhat intricate pattern that's best viewed in closeup.  However, it isn't very difficult to fold.  I used tant paper in a pink hue folded to a 32 pleat triangle grid.  For your denser tessellations like this one, it's best to use a sturdier paper.  Interesting thing about tant paper. I actually spilled some coffee on it while in the middle on completing this tessellation.  Figured it was trash, but I wiped it down and waited for it to dry and was able to move forward almost as if the spill had never happened. Pretty impressive that the paper could do that, especially being manipulated so hea

This tessellation looks pretty complex, but it's not that hard to actually fold it.  It features trapezoids rotating around  open back hexagons. Opposite facing trapezoids emerge from the edges of the first set. Those trapezoids then revolve around small offset hexagon twists.  This is an unusual tessellation that has a lot of flexibility in the valley and mountain folds. The way the various shapes interact with each other is such that there are a lot of options regarding what goes up and what goes down.  While this makes it somewhat easier to execute on the face of it, it can be frustrating to actually come up with a cohesive and consistent pattern.  Give it a try and you'll see what I mean.  I have a diagram somewhere. Will add it in the near future.  Update: added diagram below. 

 This is a variation on an old image I found on my hard drive. According to the tag in the corner of the original image, it's a Peter Keller design that is untitled.  His design used larger cube modules. on a much larger grid.  I decided to do small cubes so that they could repeat nicely on a smaller grid. Other than that, the concept is the same.  His design used cubes made up of 12 rhombuses each.  I simplified things with cubes made up of only 3 rhombuses each.  The reverse side of the tessellation is comprised of small triangle twists, open back triangle twists and blunt corner triangles.  What I particularly like about this design is how it utilizes space. Leaving those bigger gaps between the groups of rhombuses creates a totally different pattern than what you would get if you kept the same distances between all of them.  My diagram for this tessellation is included at the end. 

 The inspiration for this particular tessellation came from my idea of three trapezoids around a small triangle. The points of the triangle poke into the short tops of the trapezoids.  As a way to further figure out how to repeat that pattern I added open back triangle twists to create another triad of trapezoids.  At that point it all coalesced and the final shape appeared as I repeated the array. A blunt cornered triangle revealed itself to be the last piece of the puzzle.  I actually liked how the back side photographed better than what I originally conceived of as the front. That's shown in the first pic.  But the concept was born of the shapes shown in the second photo. Interesting how that works out sometimes.  This particular orangey color of tant paper really gave me a hard time trying to get nice pictures of it. However, I managed to find a couple of good ones. Just barely.  Yet another aspect to consider when you're creating your own masterpieces.  Every detail matter