Natural Rhombus Flowers Tessellation : Origami Tessellations

Natural Rhombus Flowers Tessellation

I recently did a tessellation that used the smallest natural rhombuses in a triangle grid. I can't believe this hasn't occurred to me sooner.

If you're familiar with triangle grids you know that two triangles form a rhombus natural to the grid. These are the rhombuses that were used in this design.

There are small hexes on the rear center of the rhombuses. There are also small hexes on the front surrounding the rhombuses. Some triangles on the rear as well to make it all work.

It was moderately difficult to execute. Mostly just because it caused the paper to curl up a lot. The folds weren't difficult, but seeing what you were folding was.

When I search for tessellations and crease patterns I don't come across ones like this.

It's similar to a flagstone with a less complicated rear. Everything on the front flows together without much issue other than the fact that there is a lot of overlap in the background.

Some people must have come across this possibility before me. So why haven't they posted it? Perhaps they have and I didn't realize it from their photos.

At any rate, this opens up new avenues to warping the paper. I've always been drawn to using the natural folds of the grid and this discovery is enlightening.

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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