I found the following site, in which they have created amazing artworks of Sierpinski icosahedron with modular paper folding.
However this site is in German. I am not sure how they did it. It seems to me they have a summer camp for high school or primary school kids to create this model collaboratively.
Here is the picture of the model they created:
Alternatively, Wikipedia has a long list of fractal dimensions for many different objects:
List of fractals by Hausdorff dimension
Many natural objects exhibit fractal structure too:
Check this amazing Fractal food in supermarket out.