Trapezoid Stars Origami Tessellation : Origami Tessellations

Trapezoid Stars Origami Tessellation

This is a tessellation I came up with after folding it as a single module on smaller paper. It was pretty easy to do that way. Doing it repeating across a larger grid proved much more challenging.

I like the design, but I'm not happy with the execution. I wasn't really sure how to approach folding it for the best results.

I did all my preceasing. Then I did the center as a hex twist on the back. Moved to the front and folded the trapezoids while simultaneously easing the rear triangle twists into place. The center was slow to create, but turned out well.

Then tried just using the preceases to get the others to fall in place. The preceases weren't really enough to make it happen.

So I changed strategy and unfolded and did each repetition on its own and unfolded and repeated. When each repeat had been prefolded I unfolded again. Redid the center. And again began trying to get the iterations to fall into place using their preconditioning. While I was able to complete the design, some iterations came out sort of sloppy because of all the trial and error work. It's also a very close and fussy design that leaves little room for forgiveness.A thinner paper may have helped.

Here's a rough crease pattern. hexes and triangle go on the rear. Trapezoids go on the front.

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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