There are 4 components available to use with constructions straws. Only the two-pronged ring is needed to build any of the polyhedra depicted. The rest are for exploration. The straws must be purchased separately. I use Ggiibro straws. They are available at Amazon.com. The components are scaled to fit these straws. The recommended z-axis setting is 5.69mm for each ring. 

These are the number of components needed for each model:

Octahedron:

rings: 6

straws: 12

Cuboctahedron:

rings: 12

straws: 12

Icosidodecahedron: 

rings: 30

straws: 30

Rhombicuboctahedron:

rings: 48

straws: 24

Rhombicosidodecahedron

rings: 60

straws: 60

Disclaimer: I am not affiliated with either Amazon nor Ggiibro and do not benefit or profit in any way from them.