Flagstone Variation : Origami Tessellations

Flagstone Variation

I saw this one on flickr. I don't know the original designer to credit.

I thought it might be fun to fold. Turned out to be a little more difficult than I had anticipated.

It was terribly difficult to put together. Still, once I started, I was determined to complete it.

There are some open back hexes. They've got rhombuses off of them. Those rhombuses are tethered to triangles.

Interesting part is the triangles are natural to the grid. Which isn't typical .

The rhombuses land in triads off of those triangles.

Nothing really works on its own. Everything depends on everything else. It's a whole lot of getting folds to sort of stay while you get the rest of the folds to also sort of stay as you work your way out from the center.

It looks and fold like a flagstone, but it's not a true flagstone. You might call it a flagstone variation. There are a lot of similarities.

When everything is kind of willing you start again moving everything into place together. Rinse and repeat until it's all been convinced.

The triangles are the key. When you twist them into place and get the rhombuses to follow suit it all begins to coalesce.

At first, I wasn't sure what direction to go with the triangles. But they need to be on top.

I really like the how the rear backlights. That's shown in the first image.

The second image is the front backlit. It's nice, but I prefer the rear view.

I've also included the unlit versions for clarity. Front first and then rear.

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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