Common Denominators Origami Tessellation : Origami Tessellations

Common Denominators Origami Tessellation

This tessellation comes from my idea for intermingling trapezoids and rhombuses. I just kind of started with the central pattern and worked my way outward.

Collapse style tessellations such as this one offer a plethora of new ways to configure the various shapes you might choose to incorporate.

You can also mix twists and collapses in a single tessellation. This one however, is all collapses.

Collapsed tessellations are pretty easy to map out on grid paper. The connections between the shapes are pretty straightforward.

They can be a little tricky to execute. Especially on the back side. They have a lot of folds in common with flagstones, although they are not quite as intense.

They also tend to result in a lot of shapes to fold. Even on a 32 pleat grid, you can often wind up with many repetitions. So patience is a must.

All the work is in the preparation. By the time you've finished all the pre-creasing, you'll feel like you've done so much. But at that point, the actual collapsing is pretty quick.

The back of this tessellation is exclusively open back hexagons. However, instead of twisting, they also collapse.

Unlit pics and the crease pattern are included below.

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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