How to built? Difficulties
The problem with GeoGebra
GeoGebra is object and point orientated. So you need either an object, or connected points to build a polygon or a polyhedron.
Archimedean solids are not an implemented objects in GeoGebra 3-D, so you have to create them from well known objects.
All 13 Archimedean solids can be created from Platonic solids, and Platonic solids are implemented in GeoGebra 3-D.