## Box with Woven Triangles XXI

Another box with a tessellation molecule from the Woven Triangles family. The triangles are visible in deep layers of the model, surrounded by a flat frame.

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.

Another box with a tessellation molecule from the Woven Triangles family. The triangles are visible in deep layers of the model, surrounded by a flat frame.

In this variant of Woven Triangles, the triangles are hidden in deeper layers of the molecule and surrounded by flat rectangular panels.

Derived from Woven Triangles Tessellation II, this pattern has a number of creases converge at the center of the molecule. Sharp outlines of 90° triangles in...

Design derived from Box with Woven Triangles XVIII by rearranging layers.

I folded this box in order to test John Gerard’s pure flax white paper. You can read more in my review of this paper.

These pictures show sixteen boxes decorated with tessellation molecules belonging to the Woven Triangles family, folded in the years 2020-2021. All boxes wer...

A model from September 2020, this is a 3D-shaped variant of Woven Triangles Tessellation VI, folded from the same sheet as the flat-shaped one. Pulling some ...

This model is derived from Box with Woven Triangles II by sinking one edge of the triangle which results in a striking pattern of triangular flat islands bet...

This design is pretty much like Box with Woven Triangles XII but with different layer ordering. The change results in the triangles being covered by pleats a...

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...

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

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.

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...

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...

Another fold of my Woven Triangles Tessellation V, this time from purple Ogawa Washi paper. It is physically the same sheet which later became Woven Triangle...

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...

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

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...

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.

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...

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

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...

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

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

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, the symmetric layout with molecules of two different chiralities.

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...

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...

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...

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...

Another member of the Woven Triangles family, single tessellation molecule on a box.

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 ...

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

Another box with a tessellation molecule from the Woven Triangle family.

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...