Epic Triumvirate FlagstoneTessellation : Origami Tessellations

Epic Triumvirate FlagstoneTessellation

This is an insane flagstone tessellation that I came up with a little while back. Originally, I only had the beginning of the idea. It was just recently that I was able to flesh it out to completion.

At the center is a triad of alternating rhombuses and triangles around a central triangle on the reverse side.

The entire pattern is based on the fact that three sides emanate from the rhombuses, while the other three stem from the triangles.

Somehow, with a little persistence I was able to figure out how the two different patterns would coalesce.

It's a crazy intense fold full of what seems like endless shapes on both the front and the back.

At many points during the execution, it felt as if I would never finish. But finish I did.

The front is both many rhombuses and many triangles. The back is just an endless sea of triangles with a handful of rhombuses.

I do have a crease pattern that I need to upload. Will do that soon.

If you wish to fold it, be prepared to dedicate a lot of time to the endeavor.

~~Update: crease pattern added below.~~
Update: I realize that I uploaded the wrong crease pattern for this tessellation. Thanks to madeoffolds for making me notice. I don't see the correct one in my google photos, but I may draw a new one and add it, if I remember.

Second update: I drew a new crease pattern using the finished tessellation as a guide. It's not all inclusive, but should be pretty helpful.

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.

Search This Blog