The Double Open Triangle 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 equilateral triangle archetype.
Crease Patterns and Folded Forms
Animations
Animations by Ben Parker, using Origami Simulator
Uses in Tessellations
Double open triangle twists are folded starting from a regular triangle grid. The mountain folds that form the triangle itself are not in the grid. The twist can be folded with or without pre-creasing those folds, depending on the expertise of the folder.
While this twist could be used on its own to create tessellations, it’s generally used with other twists.
Here’s some examples:
Video Tutorial
History
The double open triangle 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!
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