Solved Micro Rhombus Twist Tessellation : Origami Tessellations

Solved Micro Rhombus Twist Tessellation

This is a tessellation by ArseniyK. I haven't solved one of his in quite a while. His designs are quite sophisticated. They can be both difficult to figure out as well as next to impossible to execute. This one is no exception.

The front side didn't give me too much trouble solving it. However, the reverse side was a little more elusive.

I mapped out the front on some grid paper and was confident when I began folding.

As I went along it got trickier and trickier to get things into their proper places.

It was very late into the collapse that I finally realized I hadn't noticed a key element. I had been twisting the small hexagons on the back side not realizing that they needed to be stars. When I was nearly done with the front side, I finally saw it and was able to correct and adjust.

It's such an intense fold that my first attempt with semi-thick paper was a complete failure.

When I tried again with kraft paper, I was able to complete it. However, this paper doesn't really photograph well. I can't help but wonder, if it could be executed cleanly with thinner, more photogenic paper, now that I fully understand the entire design. Not sure if I'll try again anytime soon.

The construction is open back hexagons (back side) with micro rhombuses (front side) off of them. The rhombuses are the smallest the grid offers. Then there are offset small hex twists (back side) with triangles (back side) off of them. Those are the stars.

I have a crease pattern sketch. I just need to upload it. Will update when I do.

Update: added crease pattern at the bottom of this post.

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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