Pythagorean Tiling Family

This is a family of patterns based on modified square twists. By adding squash-folds, members of this family can be transformed into various Woven Triangles variants.

Pythagorean Tiling with 1:1 ratio

Pythagorean Tiling with 1:1 ratio

A variant of Pythagorean Tiling with 1:1 size ratio between the sides of the two types of squares. This effectively makes the pattern uniform (all squares ar...

Pythagorean Tiling with 3:2 ratio

Pythagorean Tiling with 3:2 ratio

This model is the same as the first Pythagorean Tiling variant I folded, but the side length ratio of big squares to small squares is 3:2 instead of 2:1. As ...

Rectangle and Square Flagstone

Rectangle and Square Flagstone

This origami tessellation is built from the same kind of molecule as Pythagorean Tiling but molecules are arranged differently: in any pair of adjacent neigh...

Pythagorean Tiling

Pythagorean Tiling

The pattern this origami tessellation represents is known as Pythagorean Tiling or Two Squares Tessellation. I came up with this design independently, but it...

Box with Arrangement of Rectangles

Box with Arrangement of Rectangles

Recently, I came up with a family of patterns which result from placing four modified twists around the corners of a rectangle or square. Some variations are...