Hydrangea (Fujimoto) from book wrapping foil
Model folded from transparent book wrapping fold which shows the internal structure of the model in an interesting way.
This foil is relatively thick (it's supposed to protect your books, after all) and - the most surprising part - it was easy to make a grid and to reverse creases as needed. Memory isn't the best, but I've seen similar in some kinds of paper as well.
The fact that you can make a multi-level Hydrangea out of this foil, shows that it's a kind of "paper" to be taken seriously.
The final effect is unique since the foil is almost completely transparent and at the same time quite reflective. It looks great but it was difficult to take good pictures of. One way is to take a picture of the model's shadow. I think this effect would look great with a large tessellation.