I think you've seen a surface like this many times.
The flexible surface is quite strong, each link is connected to 4 adjacent ones.

I didn't come up with anything new, I just studied how other designers do.

I have not yet decided how to use such a surface. While the octopus comes to mind π

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Such designs take a very long time to print, for example, a circle (diameter 80 mm) below is printed for more than 3 hours π¨, the largest surface was printed after 8 hours. I think it is impossible to scale the design down, the elements are too thin.
Just in case, I printed on a raft.

I attached this design to the post, although it was a test one, it turned out quite well. I did not have time to take a picture, because I immeditely gave it to a friend. Printed using 2 colors.
Just in case, I printed all this on a raft.