The Double Open Rhombus Twist is a less-common twist, and illustrates a pattern of transformations from closed to open to double-open and even-more-open twists that are available in the rhombus archetype.
Crease Patterns and Folded Forms
Animations
Animations by Ben Parker, using Origami Simulator
Uses in Tessellations
Double open rhombus twists are folded starting from an equilateral triangle grid and the folds that outline the rhombus 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 more grid than the closed or open rhombus twists.
Here’s some examples of tessellations that use this twist:
Video Tutorial
History
The double open rhombus 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!