The Closed/Open Fat Hybrid Rhombus Twist, also called Fat Hybrid Rhombus Twist, is an advanced twist used in origami tessellations.
Crease Patterns and Folded Forms
Animation
Animation by Ben Parker, using Origami Simulator
Uses in Tessellations
Hybrid rhombus twists are folded starting from a regular triangle grid. The mountain folds that form the half-rhombus triangles themselves 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’s a rare twist in origami tessellations with few known uses.
Here’s some examples of tessellations that use this twist:
Video Tutorial
History
This hybrid rhombus twist was not used before Madonna Yoder introduced it in 2022.
If you have additional information about the history of this twist, please share it in the comments below!