Simultaneous rotation and translation control - Kresling

[Potato2412]

I’d like to create a triangulated cylinder like the one in the video. In the video, the top surface rotates around the z-axis and moves along it simultaneously. Currently, I can only control either the z-axis value or the angle separately. How can I adjust both parameters at the same time? Thank you very much.

Kresling

[DanielPiker]

Have a look at this previous discussion:

Folding Origami Problem

A previous discussion with an example of this pop-through: Sometimes the paper moves between 2 states where the panels are unstretched, but it has to go through a stretched state along the way, so as you push it over that energy hill it wants to settle on one side.