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It has a lot of air gaps within its fibers.

We know that Solids CANNOT be compressed. So what's actually being folded is the air gaps.

Which is why you can't easily fold a piece of tungsten. It has less air gaps.

But you can fold aluminum foil just fine? That certainly doesn't have "a lot of air gaps within its fiber"

Actually I've never had success cleanly folding aluminium foil. There are always imperfections and creases.

Pretty sure the material's innate stiffness plays a role there, too.

Metallic film folds quite nicely.