Could 2 dimensional objects fill a 3 dimensional space?

[Nav]

Imagine if we had an infinite number of 2d objects, could they fill a 3d volume? even if there is an infinite number of them?

 

[mfb]

There are no 2d objects in physics, and not an infinite amount of anything. In mathematics, it depends on the type of infinity you mean.

 

[mathman]

Mathematically there are space filling curves - physically no.