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.

Doubt

Doubt

This design was inspired by ceramic tiles I saw at a store. I found their shape, consisting of a square with a smaller square cut away, interesting. It remin...

Well III

Well III

Third design in my Well series. The layout looks the same as Well I at first glance, but the central square is placed at a deeper level than all the rectangl...

Clustered Bricks

Clustered Bricks

This design is a variant of Shifted Bricks. Every other brick in each row is of different length. Since the rows are shifted relative to each other, if you l...

Well II

Well II

This is another approach to the subject I already presented in Well I, with the central square being larger and the arrangement of bricks around it having ax...

Well I

Well I

In this tessellation, rectangles are arranged in layers around a central square. I called it Well since it reminds me of a perspective view looking down a we...

Yellow Brick Road

Yellow Brick Road

In line with the distinction made in my post on naming origami models, this design is called Brick Road while the particular work seen here is called Yellow ...

Shifted Bricks

Shifted Bricks

Despite similar looks, this tessellation is not Momotani’s Wall — it is a different pattern designed by myself. Its relation to Momotani’s Wall is roughly su...

Brick Wall

Brick Wall

This classic model, often referred to by the name Momotani’s Wall, is an example of an iso-area tessellation: the front and back display the same pattern. In...

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...