Valance Electrons Origami Tessellation

 This is an interesting study in how triangle twists can connect using different sized hexagons. 

Twist based origami tessellations are not my strong suit, but every now and then, I hit upon something pretty cool. Like this one. 

Essentially, it starts out very typical. Open back hexagon with six triangle twists on the axes. 

If you're familiar with tessellations, then you've probably seen and done this a number of times. 

How it becomes more interesting is that from there I add small hexagons with six triangles around them. But those triangles alternate front/back. I like to refer to them as offset hexagons because they don't twist by the natural lines of the triangle grid. Instead, they twist based on the triangles that surround them. 

At that point, the pattern is repeated. 

This tessellation is even more unusual because I didn't really plan it. I just drew the pattern rather spontaneously on the paper right before I folded it. 

That is why I don't have a diagram for how I folded it. However, as I am loathe to leave a tessellation unplotted, I will try to remember to create a crease pattern for this one sometime soon. Either by mapping it manually or by unfolding the model and getting it from there. It might be a several days, but I'll try to do it soon.