Hybrid Square Twist

The Closed/Open Hybrid Square Twist, also called Hybrid Square Twist, is a fairly advanced twist used in origami tessellations. Crease Patterns and Folded Forms Animations Uses in Tessellations Hybrid square twists are folded starting from a regular square grid. The mountain folds that form the two half-squares themselves are not in the grid.  The twist … Read more

Cursed Square Twist

The Cursed (Intermediating) Square Twist is an advanced-level twist in origami tessellations and is the flat-foldable solution to the arrangements of pleats halfway between a closed square twist on one side of the paper and the same twist on the opposite side of the paper. It’s called cursed due to the need to precrease many … Read more

Isoarea Closed Hexagon Twist

The Isoarea Closed Hexagon Twist is an advanced-level twist in origami tessellations and is a direct modification on the Closed Hexagon Twist. Crease Patterns and Folded Forms Animation Uses in Tessellations Isoarea closed hexagon twists were first popularized by Joel Cooper in his masks and other tessellations, where they are often seen in a 3D … Read more

Isoarea Closed Square Twist

The Isoarea Closed Square Twist is an advanced-level twist in origami tessellations and is a direct modification on the Closed Square Twist. Crease Patterns and Folded Forms Animation Uses in Tessellations The isoarea closed square twist can be folded by precreasing a closed square twist on a square grid and then flipping every other pleat … Read more

Open Right Triangle Twist

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 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 … Read more

Closed Right Triangle Twist

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 Uses in Tessellations Right triangle twists are folded starting from a regular square grid with diagonals added, and the mountain folds … Read more

Open Trapezoid Twist

The Open Trapezoid Twist (also just called Trapezoid Twist) is a moderately common twist and is usually one of the first mixed-depth twists that a new tessellation folder learns. Crease Patterns and Folded Forms Animations Uses in Tessellations Open trapezoid twists are folded starting from an equilateral triangle grid and the folds that outline the trapezoid itself are … Read more

Closed Trapezoid Twist

The Closed Trapezoid Twist (also called the Arrow Twist) is a moderately-common twist and usually the first twist using a notch that a new tessellation folder learns. Crease Patterns and Folded Forms Animations Uses in Tessellations Closed trapezoid twists are folded starting from an equilateral triangle grid and the folds that outline the central rhombus are not on … Read more

Double Open Rhombus Twist

The Double Open Rhombus 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 rhombus archetype. Crease Patterns and Folded Forms Animations Uses in Tessellations Double open rhombus twists are folded starting from an equilateral triangle grid and the folds that outline the rhombus itself are … Read more

Open Rhombus Twist

The Open Rhombus Twist (also called Spread Rhombus Twist) is an uncommon twist that has been used by several different designers. Crease Patterns and Folded Forms Animations Uses in Tessellations Open rhombus twists are folded starting from an equilateral triangle grid and the folds that outline the rhombus itself are not on grid lines. The … Read more