While thtat works in theory and could be executed, I was unable to create it with the paper I was using.
It would make for a really spectacular tessellation, but would require, if not larger paper, at least, a sturdier variety. My paper began to go limp long before I was even close to completion.
So I upped the size of everything by one pleat. Because it uses a 2 pleat hex it's not centered to the grid. But I didn't want to use a 3 pleat hex because I felt that was too spread out.
Crease pattern for the original design. Smallest hex. Everything very densely packed.