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Complex origami sculpture: K3 - 20 woven triangles - No glue

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Picture of Complex origami sculpture: K3 - 20 woven triangles - No glue
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Hola instructablers!

This weave was first folded by Byriah Loper (I think.) Anyway the folding and assembly are surprisingly simple, but create a nice effect. There is obviously no glue involved. There are no official instructions/diagrams for this, as far as I am aware...

This model will take you about 10 hours to do in total, about 7 hours of folding and another 3 or so for construction. The beauty of modular origami is of course that you don't have to do it all in a single sitting, but you can take your time and fold a few pieces a day over the course of 2 weeks or so.

Kinda similar to my other instructable, K2, but substantially easier. This is folded using 20 equilateral triangles, which form 5 tetrahedra, which are then woven together in the classic manner.
The whole model forms a dodecahedron if you plot each of the vertexes in space. Great mathsy fun!

The model I folded was tiny, i would recommend using much bigger paper. I had to do a lot of it with tweezers.The diameter of the final model is going to be (roughly) 1,5x the length of each of your pieces.


What you will need:

60 1x5,5 rectangles (I used 1x6, but it was a little bit loose. I would recommend using something a bit smaller, but if you want to play it safe go for 1x6).

Some sticky tape (just for the construction, if you have super steady hands and lots of patience it's not necessary).

Tea and good music to keep you company (origami is not exactly a very social hobby!).

OK lets get started!

 
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Step 1: Starting out

Basics.

Valley fold in quarters, then crease the top right hand edge to the 1/8th mark. This is just a guideline, don't fold all the way.

Rotate and repeat on the bottom.

Step 2: 60 degree folds

Picture of 60 degree folds
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Again, basics. If you have folded the 5 intersecting tetrahedra you can skip this whole section and jump to the assembly.

Fold the top left corner to the guideline crease you made in the previous step and unfold.
Repeat at the bottom.

RefStone8 months ago

Soo... if this thing was a giant die, how many faces would it have?

^^^^^^^^^.^^^^^^^^^^

joettle (author)  RefStone8 months ago

12. The points form a dodecahedron, each face is pentagonal, with internal angles of 108*. Interestingly enough, the platonic solids (of which this is one) are the only geometric shapes that you can make dice out of :)

RefStone joettle8 months ago

Thought I'd share how I'm going about it. Jeez but they have to be perfect to line up : /

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joettle (author)  RefStone8 months ago

Oh wow, looks lovely!
I did a similar model the other day with wood, as long as your final width:length ratio is more than 1:12 for each side it will work!
Keep it up, I want to see when it's done!

RefStone joettle8 months ago

Bah! I have that ratio in OD only, which is totally useless D:

*1mm wire with 12 mm sides, but only 10mm actual breathing room.

I need to get to business today but I will get back to this. . just the the two tetras together now are lovely though.

RefStone joettle8 months ago
Oh sweet mama. D12 on the way
armored bore9 months ago

Wow, fancy sculpture AND material. What is that stuff?

joettle (author)  armored bore9 months ago
Just normal printer paper, printed with a nice green pattern!