Infinite Sprockets


This is a tessellation that I came up with after having done a very similar one. That first one (Controlled Chaos Origami Tessellation) had exceedingly small rectangles, which made it nearly impossible to execute cleanly on both sides. 

In this case, I made the rectangles bigger and it became infinitely more manageable. 

I'm pretty sure that I've seen this one before. I think that I've seen it done by  Daniel Kwan as a crease pattern posted to his flickr account. 

I was not using that crease pattern while conceiving of this, though I did have some recollection of having seen it in the past. 




The front is all right triangles. 

The back side is small offset hex twists, the aforementioned rectangles and small triangle twists. 

Even with the larger rectangles, it's still a difficult to fold tessellation. The triangles and rectangles overlap each other. 

My crease pattern diagram is at the end of this post. 

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