Hyperbolic Origami

Hello everyone, I am trying to make the origami model in this video.

So far I have managed to create the mesh & valley-ridge lines from the video. However, when I try to fold it, It doesnt fold correctly and it gives errors. I tried crane plug-in first but it didnt help at all. I also looked from @DanielPiker s solution to a similar problem, it helped but still doesnt fold properly.

here is the file: origami hyperbole.gh (58.7 KB)
Any help&suggestion is appreciated!

Thank you

Your flat model is not the same


Your gh file appears to be missing the mesh?