Solving Hexagons and Trapezoids Origami Flagstone Tessellation : Origami Tessellations

Solving Hexagons and Trapezoids Origami Flagstone Tessellation

When I first started folding flagstone origami tessellation I did so using crease patterns generously offered to the internet by their respective creators. Peter Keller and Robin Scholz were the primary designers whose creations I folded.

In the beginning, it seemed so mystifying. How they'd arrive at the structure. How to execute the structure.

But it didn't take too long to understand how it worked and how to solve them and sometimes even create them.

In this case, I solved one. I saw a post by @kerstin.origami on instagram. She had folded a flagstone by @valleyfolder (Peter Keller). I liked it enough to give it a try.

The thing about flagstones is that once you understand the architecture, they're actually very easy to solve.

All the shapes are easily visible and how to connect them is a very straight forward process.

Flagstones, are however, very labor intensive to actually fold. There are a lot of creases and there is a lot of coaxing involved.

But the finished product you'll wind up with is definitely worth the effort. It's a beautiful design.

This one is open back hexagons surrounded by trapezoids.

For flagstone tessellations I like to use sturdier paper. They really need it. In this case it was 28 lb printer paper.

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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