Placing images on polyhedra​
​by Sándor Kabai
Korean flag on truncated icosahedron.
The image and the polyhedron can be varied.
In[]:=
q=
;​​​​Graphics3D[{Texture[q],(Append[#1,{VertexTextureCoordinatesWith[{n=Length[First[#1]]},Table[0.6{Cos[2πi/n],Sin[2πi/n]}+{1/2,1/2},{i,0,n}]]}]&)/@Flatten[Normal[PolyhedronData["TruncatedIcosahedron","Faces"]]]},Boxed->False,SphericalRegionTrue,ViewAngle0.3,Lighting"Neutral"]
Out[]=