New-to-me tube tessellation

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New-to-me tube tessellation

Postby Cadix » October 11th, 2017, 7:00 pm

(Reposting from my gallery page)

I've designed-by-playing-around a tube tessellation. Here's a picture:

Image

I'm very happy with it. It locks into place, holds its shape, is symmetrical across the midline, doesn't have too many layers, and is a tessellation. This is probably the 5th rendition over the course of a long time. It's grid-y and not complicated, so a crease pattern is probably on the way.

I haven't seen it before, but it is too simple not to have been thought up already. Anyone know where it's come up before? (I should probably post a picture of the bottom which is where it locks...)

I'm planning to add some rings and/or tubes around it or maybe have it take a curved path. Or make an i-ching tile complete with a broken line or two.
Last edited by Cadix on October 29th, 2017, 3:06 pm, edited 1 time in total.
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Re: New-to-me tube tessellation

Postby mkosmul » October 13th, 2017, 8:02 pm

I've made rectangular 2×1 grid unit flaps myself, possibly the same CP (I'd be able to tell if I saw the back side), but I never had the idea of making tubes out of them. It's an interesting idea and looks very nice, so even if the difference ended up as just a matter of shaping, I think it would still be a fresh idea. I'm looking forward to see a whole folded tessellation of this molecule.
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Re: New-to-me tube tessellation

Postby Cadix » October 14th, 2017, 3:12 pm

mkosmul wrote:I've made rectangular 2×1 grid unit flaps myself, possibly the same CP (I'd be able to tell if I saw the back side)

Here's the reverse side:

Image

The more I play with it the more I realize it is REALLY simple. The crease pattern should be easy enough.
Last edited by Cadix on October 29th, 2017, 3:07 pm, edited 1 time in total.
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Re: New-to-me tube tessellation

Postby Cadix » October 14th, 2017, 4:17 pm

Probably mostly correct crease pattern:

Image

PDF version
Last edited by Cadix on October 29th, 2017, 3:07 pm, edited 1 time in total.
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Re: New-to-me tube tessellation

Postby mkosmul » October 18th, 2017, 5:46 pm

It's very similar to my flap (apart from the shaping) but not quite the same: I didn't squash the flaps at the back side, just left them as regular pleats.
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Re: New-to-me tube tessellation

Postby Cadix » October 18th, 2017, 6:57 pm

mkosmul wrote:It's very similar to my flap (apart from the shaping) but not quite the same: I didn't squash the flaps at the back side, just left them as regular pleats.

Great minds think alike :-D

I decided to squash the back because 1) it adds symmetry which just makes me happy and 2) I *think* makes it stay flatter, but I'm not entirely sure about that.

Now, time to add rings!
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Re: New-to-me tube tessellation

Postby Cadix » October 29th, 2017, 3:09 pm

And here's one version of a tessellation based on the tube:

Image
PDF version

There's relatively little tube per paper, but it's a start.
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Re: New-to-me tube tessellation

Postby Gerardo » November 11th, 2017, 1:38 pm

Never seen a curved tessellation. Love to see you fold it!

I'm not claiming it or anything but it's close to how I designed the base for Balance. Here's the CP drawn by origami_8: http://www.origami.at/diagrams/balance_cp.pdf

Just like mkosmul, I had not thought about using it for tubes either. Fold the whole tessellation cadix!
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