The Open Right Triangle Twist is an intermediate-level twist in origami tessellations and is equivalent to half of the Double Open Square Twist.
Crease Patterns and Folded Forms
Animations
Animations by Ben Parker, using Origami Simulator
Uses in Tessellations
Right triangle twists are folded from square grids with diagonals, also called 45 degree grids. The mountain folds that form the central right triangle are not in the grid. The twist can be folded with or without pre-creasing those folds, depending on the expertise of the folder.
These twists can be used with other right triangle twists or in combination with various square twists.
Here’s some examples of tessellations that use open right triangle twists:
Video Tutorial
History
The open 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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