Paper can rotate.
This page will start with three experiments that you can follow along with.
Crease the paper as in the image above.The creases are about two cm distance from each other.
Make the mountain folds stand up beginning from the row edges of the paper. Hold the whole shape in a form that approaches a pyramid. Pull, two ridges on opposite sites at the center, a bit to the outside.See the top pop open. Repeat this with the other two ridges.Lay the paper flat on the table and move the ridges clockwise. A squire shape will appear that is rotated.
You reaped what you did in the previous experiment but do not pop the top open. Let the middle stand op and rotate the ridges around it.
You need two strong cardboard tubes. Make a paper tube that fits around the cardboard pieces, glue it well. Place the paper tube in the middle and leave a gab between the cardboard edges on the inside. Rotate both shapes in opposite directions.
This innovative idea comes from Biruta Kresling; she demonstrates it in the documentary “The origami code.”
My favorite rotated object is the flower tower designed by Chris Palmer. He demonstrates how it is made in a video. Link