Today, the simplest Archimedian solid using triangles and pentagons, the icosidodecahedron:
STL file: http://www.geekhaus.com/makerhome/day89_icosidodecahedron.stl
Tinkercad link: https://tinkercad.com/things/9rjPDpql1vO-tiles-for-icosidodecahedron
Thingiverse link: http://www.thingiverse.com/thing:185859
Settings: The tiles are optimized to work with the low/.3mm MakerWare setting on a Replicator 2.