But its not quite a modular. The paper is assembled via a method called 'snapology'.
Basically, i take a large square, say 30 square cm for instance, and I will cut it into 1:10 strips. You don't have to use those proportions exactly, but i find that those tend to work the best. anywhere from there to 1:12 will give you good results.
Afterwards the paper is then folded over on itself over and over again as to form a grid on the strips of paper. You then cut those into appropriate sizes to form the shapes, and then start weaving the paper together.
It is really difficult for me to explain im afraid, but here is a [link] to the website that details maginifcently how to construct a basic icosahedron. Once you have that model down, you can use this method to assemble any platonic or Archimedean solid!
Thank you so much! and actually these are extremely easy to make, but they take a looooooooong time. I can send you a link that shows you how to make a very basic shape, and if you want to make more complex shapes like these, just wikipedia archimedean or platonic solids and observe the geometric pattern and replicate it using the same techniques used to make a cube or what not.
But to put it in basic terms (since i couldn't really give a detailed description of them anyways...) an Archimedian solid is a structure where two or more regular polygons meet. Unlike platonic solids, where say a dodecahedron would consist entirely of pentagons, or an octahedron entirely of triangles, Archimedian solids such as cuboctahedrons consist of triangles And squares, or in the case of my origami, the Rhombiicosadodecahedron, it consists of triangles, squares, and pentagons.
Hope that cleared up some of the differences between the two.