Deciding What Other Shapes Can be Made

Now we have constructed two different uniform polyhedra, the first two shown below. Look at them first to see what they have in common, and try to think of a rule for building shapes with the modules. Then look at the other uniform polyhedra on this page and try to decide if it is possible to build them with the modules. Hint: Look at the vertices of each shape.
 
icosidodecahedron icosidodecahedron
left arrow right arrow		 icosidodecahedron
 
rhombicuboctahedron rhombicuboctahedron
left arrow right arrow		 rhombicuboctahedron
 
truncated icosahedron left arrow  truncated icosahedron
 
truncated dodecahedron  right arrow		 truncated dodecahedron
 
rhombicosidodecahedron left arrow  rhombicosidodecahedron
 
snub dodecahedron  right arrow		 snub dodecahedron

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