The Closed Right Triangle Twist (also just called Right Triangle Twist) is one of the more common twists and is usually one of the first that a new tessellation folder learns.
Crease Patterns and Folded Forms
Animations
Animations by Ben Parker, using Origami Simulator
Uses in Tessellations
Right triangle twists are folded starting from a regular square grid with diagonals added, and the mountain folds that form the right 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.
It is one of the most widely used twists in tessellations.
Here’s some examples of tessellations that use only this twist:
Here’s some examples that use this twist alongside other twists:
Video Tutorial
History
The closed right 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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