Syncopation Origami Tessellation : Origami Tessellations

Syncopation Origami Tessellation

I've been playing with certain shapes lately and how they fit together using a few different techniques for nesting folds.

This is another variation on combining different shapes around hexagons using the classic flagstone method of nestling shapes closely together so they almost touch.

~~I've put this model up for sale on etsy. See the listing~~

I started out using some flimsy paper and quickly aborted.

I've done many similar tessellations with not too thick, not too thin printer paper. So it's definitely possible. It simply can't be too thin.

However, since I recently acquired a bit of kraft paper I decided to see how that would do. It actually made it somewhat more difficult to fold, but resulted in a much cleaner/crisper completed model.

Folding the reverse side of these types of tessellations is sort of tricky. Once you get into the thick of the process it becomes quite clear what needs to happen.

A crease pattern was drawn and photographed. It should illustrate everything quite plainly. It will also make other variations of shape combinations pretty apparent. How to find them. How to construct them. Not that it's some big mystery. It's a common folding method.

There are some other sketches bleeding into the crease pattern sketch, but the pattern is still pretty clear.

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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