Rhombic Star Swarm Origami Tessellation

I saw this tessellation somewhere. I can't remember where now. But I liked it enough to figure out how to fold it.

Little did I know when I started that it was a flagstone tessellation. I should've known, but I didn't find that out until I started puzzling out its construction.

. They can be a pain. And this one was.

There was a lot of pre-folding. That was 90% of the work.

After that, it was a matter of slowly coaxing all those pre-folds into their proper places. It was not an easy task. It was however, a very pleasing result.

It's a series of hexagon twists on the back of the paper. Then you go to the other side and surround them with rhombuses. Some large triangles allow everything to lay neatly together.

The gender of the folds was quite important in achieving the final collapse. Having the right valley and mountain folds was critical. The hexes had to go to the back. The rhombuses had to go to the front. The connective triangles also had to go to the back. All the rhombuses twist in the same direction. All the hexes twist in the same direction. The triangles don't really twist. They just sort of collapse as they connect the hexes and rhombuses.

It was a difficult and rewarding challenge.

When I began, I thought the hard part would be determining how to fold it. As I progressed, I realized, the actual execution of the design was the trickiest part.

A rewarding puzzle to solve. A stunning result.

This has been an original post created by SolvingOrigamiTessellations.com

Comments

Post a Comment

Popular posts from this blog

Herringbone Tessellation

Image
Messing around with rhombuses yielded this interesting pattern. It utilizes reverse rabbit ear folds to create triangular points which connect the running rows of rhombus twists. The triangles form in the spaces between the rhombuses. Then there are mirror triangles to facilitate the the next row.  It kinda looks and folds like a square grid tessellation even though it's done using a triangle grid.  It's a fairly easy fold.  I do have a crease pattern. Just need to take a pic and upload it. Update: photo of crease pattern added below.
Read more

Infinite Triangles Origami Tessellation

Image
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 cr...
Read more

Circling the Crown Origami Flagstone Tessellation

Image
  solvingorigamitessellations.com Here is a new flagstone tessellation that I recently created and folded. The starting point is trapezoids and triangles around a central triangle. From there I just expand outward using the shapes that work with the space.  Because it starts from a triangle, everything repeats 3 x 3 instead of x 6. So 3 sides are a pattern and the alternating 3 sides are a different pattern. The pattern of shapes changes as the design expands outwards because there is more and more space to fill.  solvingorigamitessellations.com Because this is a flagstone, it is a difficult tessellation to fold. The reverse side is full of triangle twists.  As far as I know, this is an original origami tessellation . I've not seen it done before.  It occurred to me after I had completed this that the central module can probably be repeated if I flip the trapezoids of the second generation. I started to work that out on some grid paper, but haven't finaliz...
Read more