The Double Open Hexagon Twist (also called Double Spread Hexagon Twist) is an uncommon twist that has been used by several different designers.
Crease Patterns and Folded Forms
Animations
Animations by Ben Parker, using Origami Simulator
Uses in Tessellations
Double open hexagon twists are folded starting from an equilateral triangle grid and the folds that outline the hexagon itself are not on grid lines.
The twist can be folded with or without precreasing these folds, depending on the expertise of the folder.
This twist is lesson commonly used in origami tessellations since it uses so much grid.
Here’s some examples of tessellations that use this twist:
Video Tutorial
History
The double open hexagon twist dates back to at least the early 2000s.
If you have additional information about the history of this twist, please share it in the comments below!