Woven Triangles Family

Woven Triangles is a big family of tessellation molecules which can also be used for decorating boxes. These models are derived from the Pythagorean Tiling Family of designs. Despite the large number of designs presented here, these are not even all designs I myself came up with, and I’m pretty sure there are still many more waiting to be discovered.

Woven Triangles Tessellation VIII

Woven Triangles Tessellation VIII

In this model, the four triangles located around the center of the molecule are located below other layers of paper, only partially peeking outside. Triangle...

Box with Woven Triangles XV

Box with Woven Triangles XV

This model from Woven Triangles series features a frame that surrounds the four interwoven triangles in the center of the molecule.

Box with Woven Triangles XIV

Box with Woven Triangles XIV

This variant of Woven Triangles is very similar to number XIII except for the pleat visible on the box’s side having a different layer ordering.

Woven Triangles Tessellation VII

Woven Triangles Tessellation VII

Folded from Nicolas Terry Tissue Foil for its good memory and thinness. The glittery texture looks very nice in real life, but makes the model difficult to p...

Box with Woven Triangles XII

Box with Woven Triangles XII

This version of Woven Triangles molecule looks very similar to Woven Triangles I at first glance but has a different arrangement of pleats. These seem to ci...

Box with Woven Triangles XI

Box with Woven Triangles XI

In this Woven Triangles variant, pleats are not locked as strongly as in others, which will probably make folding a real multi-molecule tessellation neatly h...

Box with Woven Triangles X

Box with Woven Triangles X

In this member of the Woven Triangles family, the triangles have different proportions than the √5:√5:√10 sides found in most other variants.

Box with Woven Triangles IX

Box with Woven Triangles IX

This is the first box in the Woven Triangles family to be based on a structure modified by twisting the square on the back side of the molecule. This also ma...

Box with Woven Triangles VIII

Box with Woven Triangles VIII

As in Box with Woven Triangles VII, in Box with Woven Triangles VIII the triangles are located below other layers of paper and only partially peeking outside.

Box with Woven Triangles XIII

Box with Woven Triangles XIII

When folding this box, I thought I was making a clean fold of Box with Woven Triangles XVI, but I missed one detail and ended up with yet another design. You...

Woven Triangles Tessellation VI

Woven Triangles Tessellation VI

Another pattern in the Woven Triangles Family. This particular work uses standard, flat shaping but a different, three-dimensional shaping is also possible. ...

Box with Woven Triangles I

Box with Woven Triangles I

This is a simple box with a molecule of Woven Triangles Tessellation I. My first attempt at folding this model resulted in a slightly modified molecule and e...

Box with Woven Triangles VII

Box with Woven Triangles VII

In this variant, the triangles are located in a deeper layer of paper, as if peeking through an opening in a wall.

Box with Woven Triangles VI

Box with Woven Triangles VI

After a break, I’m back to presenting variants of molecules from the Woven Triangles tessellation series. Again, it’s a single tessellation molecule used to ...

Woven Triangles Tessellation V

Woven Triangles Tessellation V

Woven Triangles Tessellation V, folded from Elephant Hide paper. 32×32 grid for the whole model, 8×8 per molecule.

Woven Triangles Tessellation IV

Woven Triangles Tessellation IV

Woven Triangles Tessellation IV — this is the only variant in the series so far which uses a 10×10 grid per molecule rather than just 8×8.

Woven Triangles Tessellation III (Asymmetric)

Woven Triangles Tessellation III (Asymmetric)

Third work in the Woven Triangles series. Just like number I, number III has a pleat arrangement which allows for two distinct molecule layouts: the asymmetr...

Woven Triangles Tessellation II

Woven Triangles Tessellation II

Just like all other models in the series, this origami tessellation is derived from Rectangle and Square Flagstone by applying squash folds in the right plac...

Woven Triangles Tessellation I (Asymmetric)

Woven Triangles Tessellation I (Asymmetric)

This model uses the same molecule as the symmetric version but all molecules have the same chirality. This causes each row and each column to be shifted by t...

Woven Triangles Tessellation I (Symmetric)

Woven Triangles Tessellation I (Symmetric)

This is the first model in my Woven Triangles series which you’ve already seen some examples of on boxes. This tessellation is derived from Rectangle and Squ...

Box with Woven Triangles IV

Box with Woven Triangles IV

This origami box is decorated with a tessellation molecule from the Woven Triangle family. In contrast to Woven Triangles I, II, and III, Woven Triangles IV ...

Box with Woven Triangles III

Box with Woven Triangles III

This is the third tessellation pattern in Woven Triangle family, and it looks good as a single molecule on a box as well.

Box with Woven Triangles XVI

Box with Woven Triangles XVI

Naming this box, the first in the Woven Triangles family, was a little misunderstanding. I originally labeled it number I since it was the first to be publis...