Keller Flagstone Tessellation : Origami Tessellations

Keller Flagstone Tessellation

Here's another Peter Keller flagstone.

The challenge of folding flagstone is quite appealing. it requires a lot of patience and persistence. Even after you fold the standard grid there are still many more folds to add. It's a whole lot of prep work before you ever begin the actual creation.

That's probably true of most origami tessellations. All the work is in the prep. Then you allow that work to pay off in your resulting collapses.

With flagstones you also have to work both sides of the paper. The design will have triangles on the back that need collapsing in order for the front structure to work together.

I am always grateful when origami artists publish their crease patterns. And Peter has many published on his flickr account.

The one for this design can be found at: https://www.flickr.com/photos/syngola/4968245966/in/album-72157624777290209/

To me it's small pointy stars which are surrounded by much larger flower like petals. I mostly work on a 32 iteration grid. This design fits comfortably, but a larger grid would really showcase the repetition more beautifully. This is evident in Peter's crease pattern diagram.

He has imagined some wonderful designs and patterns that he's shared with the community. It's much appreciated.

Although there is a lot of fun to be had trying to figure out others' designs without a blueprint.

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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