When I first started making origami tessellations, one of the first twists I ever learned was the Closed Square Twist.
Later, I learned the Open Square Twist. As I learned more tessellations, I saw that any closed twist - square, triangle, hexagon, rhombus, etc - could be modified to have an open back.
Now I present a new way to modify twists: Compounding!
You might be wondering what kinds of things can be made with these compound twists. I've made several variations already, and I have lots of ideas for more!
Here's a list of tessellations I've made with this Compound Square Twist:
I also have a bundle of four crease patterns, all using compound squares or compound hexagons: