The paper says:

"What did appear as a challenge, though, was a physical realization of such an object. The second author built a model (now lost) from lead foil and finely-split bamboo, which appeared to tumble sequentially from one face, through two others, to its final resting position."

I have that model ... Bob Dawson and I built it together while we were at Cambridge. Probably I should contact him.

The paper is here: https://arxiv.org/abs/2506.19244

The content in HTML is here: https://arxiv.org/html/2506.19244v1