Closed Rhombus Twist

The Closed Rhombus 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

Closed 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 is one of the most commonly used twists in origami tessellations and it’s used both by itself and alongside other twists.

Here’s some examples of tessellations that use only this twist:

Here’s some examples of the closed rhombus twist used with other twists:

The open hexagon twist was not present in any of Shuzo Fujimoto’s publications and is present in Eric Gjerde’s Origami Tessellations.

If you have additional information about the history of this twist, please share it in the comments below!