Densely Packed Hexagons and Triangles : Origami Tessellations

Densely Packed Hexagons and Triangles

Here's a rather crowded tessellation. Hexagons surrounded by triangles. The backside make a tight weave pattern. The front is a chaos of triangles and hexes all banging into each other.

I tried backlighting it, but it's so dense that no light shone through.

It'd probably look prettier with the repetitions spaced more generously to allow some light to come through in the gaps. That may already have been done by someone somewhere. It rings a little familiar.

Still the unlit version has its merits. It's kinda fun to play around with the overlays of triangles and hexes. You can get different patterns bases on which shapes are on top/bottom.

My paper didn't really want to cooperate. I wanted all the triangles on top. But every time I put some of the triangles on top of the hexes, some of the other hexes popped up on top of the triangles.That might be a problem with my choice of paper. Or it could be the design simply isn't able to do what I envisioned.

I wonder if something more three dimensional is also possible using this framework. It certainly seems like a possibility.

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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