Partners in Crime Tessellation : Origami Tessellations

Partners in Crime Tessellation

This one has a bunch of shapes in it, all working together to form the whole.

When creating a tessellation, I usually just start with one shape that interests me at the moment.

From there, I choose whether it'll be a six axis or a three axis rotational repeat. In other words, will I try to repeat it around some form of triangle or some form of hexagon.

Once I have a starting point, I mess around with additional shapes which may help me to further create repetitions.

The last step is just to figure how to fill in any gaps that are created.

In the case of this tessellation, I started with natural triangle twists off of the six edged pyramids shown in the first photo.

At the point, I added an open back triangle twist to repeat the natural triangles. Rhombuses were the final puzzle piece needed.

On the reverse side I wound up with some rhombus based cubes and two different sizes of negative space triangles.

This tessellation is not difficult. I was able to execute it using ordinary 28 lb printer paper. It uses a 32 crease triangle grid.

Crease pattern follows.

Comments

Infinite Triangles Origami Tessellation

This is just a flash idea I had. There was no planning involved. No inspiration. I just started folding and followed the lure of the creases in the paper. Upon seeing the finished result, It kind of reminds me of Robin Scholz's Triphilia tessellation, but the construction is definitely different and I was not thinking of that as I was crafting it. The similarity is that you can arrange the layering of the triangles into different patterns of your choice. I went looking and discovered I had folded this a few years ago and called it Triangle Temptations . I didn't realize this until after I'd completed this model. Apparently, according to my original post, I'd seen someone else fold it on flickr and recreated it. This happens sometimes. You hit on an idea and it's something you've done and forgotten. They linger in the back of your brain and come forward unexpectedly. That previous version differed from this one slightly, in that it used double sized cross g

Micro Rhombus Stars Origami Tessellation

This tessellation is micro rhombus star twists. I'm pretty sure I've seen this done with larger size rhombuses, but not with ones this size. They are the smallest natural rhombuses of the triangle grid. The center is achieved by collapsing a small hexagon. On the other side there are small hex twists and open back triangle twists. Since the shapes are rather small, it's a little bit difficult to fold. It's probably more of a cool weather tessellation. Humidity does the paper no favors on such small designs. But the ideas come when they do. Reverse view and crease pattern images follow.

What If Caviar Could Talk Variant

This origami tessellation is a variant of one by Arseniy K. He named his 'What If Caviar Could Talk'. After I had solved his design, I decided that I wasn't up to reproducing it exactly as he had folded his. Perhaps another time, in the future. So I changed things up a little to make it slightly less difficult. Both designs have a foundation of open back hex twists with triangle twists around them, He used micro rhombuses between the repeats. In my case, I used larger natural rhombuses instead. Still a difficult fold to execute, but much less so. It still required thick paper. I used tant folded into a 32 pleat triangle grid. You can see from the photo of the reverse side how densely packed everything is. It's a few layers deep. So be prepared to wrestle with that. My crease pattern for this iteration is included at the end. To fold his, sub out small natural rhombuses in place of my larger ones.

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