Funneling Outward Origami Flagstone Tessellation : Origami Tessellations

Funneling Outward Origami Flagstone Tessellation

The tessellation that I folded prior to this one is what gave me the idea for this. I just kind of flipped things around and worked out how it would all fit together.

It took a lot triangles to construct. A. Lot. Of. Triangles.

Flagstone tessellations are generally very triangle intensive. This design is no exception.

The layout feels very familiar, but I searched and searched to see if I'd done it before based on someone else's idea and I couldn't find anything.

It's open back hexagons surrounded by trapezoids. That central idea repeats. There are some top-side triangles in order to make it a flat fold.

It's not the best time of year for folding flagstone tessellations.

It's hot and humid. But inspiration is impatient.

There are many triangles required on the reverse side. I knew there would be triangles needed on the back side, but I didn't anticipate needing quite so many of them during my initial conception of it.

But no worries, they were not shy in making themselves known.

Sometimes we find the folds in the paper. Sometimes the folds find us.

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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