Membrane pattern, with perpendicular strips

Hello,

I have been working on making the pattern of a conical membrane but instead of doing it in a radial way, I want to do it in parallel strips. And then to be able to develop it for its manufacture.

I have tried several methods but I can’t find anything that works for me, I would like you to help me.

Thanks greetings,


210802_PATTERN_MEMBRANE.gh (23.9 KB)

Welcome @bonaga14,

I hope you have Rhino 7, because you’ll need the QRemesh (QuadRemesh) component for this to work. I’ve also replaced the MeshEdit component with a vanilla one, since I don’t have that add-on installed and it’s not really necessary.

Partitioning or dividing a mesh into strips requires that you have a topology in place that allows the cuts to be made along mesh edges. Yours is a simple mesh plane with a hole in the middle, which doesn’t meet these requirements. I thus use DanielPiker’s the magical, super powerful QuadRemesh-er to create the necessary topology.

Changing the number of segments entails that you often also need to fiddle with the QuadRemesh settings!

You should also note that this does not automatically produce developable strips!

210803_PATTERN_MEMBRANE.gh (53.8 KB)

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Nicely done. (I can’t take credit for QuadRemesh though)
It’s an important point about the strips not being developable or even close to it when dividing a funnel shaped tent into parallel strips like this. Particularly the 2 strips either side of the peak will have much bigger and less even distortion at the top compared to a more usual radial arrangement.
I’ve only seen this kind of pattern used with very stretchy fabric.

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My bad! Then chapeau to whoever came up with it.

You will end up with a lot of wrinkles. Maybe a better approach would be a partial radial pattern , then a parallel one , pre-stressed membranes are made out of geometry+pretension. Follow the stresses is the rule for good patterning.

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Wow, I hadn’t thought of using quadremesh, it’s great, but it’s not exactly what I was looking for. Rather, it was to be able to make transverse geodesic lines, and then develop them.
But thank you very much this is pretty cool.

Pattern Types – WinTess Software
the problem is metric , and to develope the strips create triangulation
image