"Well, This is my latest try out, I moved one edge of the paper so that the whole form could be twisted as an accordion. But it should be different since accordion is connected by soft cloth, while I want each unit in this structure to be stable,…"
"Thanks for your reply, by 'paper version', do you mean to make it by hand? Origami as physical model?
I will try
It is at this moment quite hard to get the paper folded for three times already, since the expanding of the span does…"
"It should be possible, the best way to test this is to make the paper version. when you twist the paper version, you should be able to see if the quads are deforming into two triangles i.e. twisting and becoming no-planar. "