Elongated Rhombuses Flagstone Tessellation : Origami Tessellations

Elongated Rhombuses Flagstone Tessellation

Flagstone tessellations are one of my favorite origami tessellations. However, I haven't done one for a while. So I was a little rusty.

This is one that I saw on Instagram. ~~It belonged to monikahankova.~~

Update: I've learned this is actually a Joel Cooper design.

Since I liked the design, I set about discovering how to fold it.

At the center starting point is your classic rhombus star around a small hex twist on the reverse.

I had forgotten how many triangle twists happen on the back side of these kinds of tesses. So many triangles.

It then repeats using longer rhombuses and some large triangles on the back.

My first attempt to map it out had an error in it, but that mistake didn't take too long to lead me in the right direction.

My second attempt was successful.

The actual fold came out as one of the most precise flagstones I've ever folded.

I used plain copy paper.

I really went in thinking I would struggle to execute it, but it was actually a pleasure to fold. Once I had the right diagrams, everything fell into place pretty seamlessly.

I wasn't sure the paper would hold up, but it worked quite well. All hail a moisture free day.

As with all origami tessellations, it's a single sheet of paper that was just trimmed into a hexagon.

It's not necessary to use a hexagon. The same can be accomplished with a rectangular piece of paper folded into a triangle grid.

I just find it easier to use a hexagon. It makes folding the grid quicker and more accurate. It also makes it easier for my stubby fingers to reach the center.

As far as crease patterns go, I do have one. It's at the bottom of this post.

However, if you're familiar with flagstones, it shouldn't be too much of a struggle to figure.

I stumbled a little at first, but as I said before, I'm a little rusty.

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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