This is a diverse set of pieces geometrically compatible with and extending http://www.thingiverse.com/thing:4934. They are also snap, but not geometrically, compatible with http://www.thingiverse.com/thing:4899 and http://www.thingiverse.com/thing:4893.

I have added spoke versions of squares, pentagons, and hexagons. I have also added version that have both regular and askew polygonal facets. Maybe the straight lines in this version will print more cleanly than the circles in the last version.

Look up templates for polyhedra, and print the corresponding facets.

I've found that all Archemedian solids can be built from a combination of triangles 1 and 2, square 1, pentagons 1 and 2, and hexagon 1 if you permit flipping inside-out, otherwise both hexagon 1 and 2.

I have not printed and tested this set yet.