Cogs in the Machine Origami Tessellation : Origami Tessellations

Cogs in the Machine Origami Tessellation

This is a slightly more complex variation on a previous tessellation that I did a while back.

There are rhombuses, triangles and hexagons all working together.

In my version the triangles and rhombuses are mountain folds, while the hexagons are valley folds.

When I first began folding the crease pattern, I was just kind of winging it. I wasn't entirely certain where I was going with it. So I wound up with random mountain and valley folds.

I later unfolded and refolded following the consistent pattern shown.

I thought about folding it differently, where the genders of the folds in individual modules went in alternating directions in some kind of pattern. That would probably be really interesting, but the paper didn't feel strong enough and I didn't feel patient enough.

Normally, when I think of triangle twists my mind automatically goes to the classic offset triangles that do not follow the standard lines of an origami triangle grid.

But there are many possibilities to be culled from using the triangles naturally found in the grid. This tessellation demonstrates that.Only the rhombuses are offset. The hexagons and the triangles are all natural.

It kinda folds and looks similar to a flagstone, but it is not a flagstone.

I've included my crease pattern below.

As always, it's possible this has been folded before, but I haven't found it during my searches.

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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