The first image shows the icosahedron within the 5 octahedra The second the rhombic triacontahedron.
The volume of this icosahedron that is within 5 edge 2 octahedra is 20Ø^-4 or 60S+20s3 modules.
The rhombic triacontahedron is 20 (Ø^-4 + Ø^-8) or 60S + 60s3 modules.
To make the RT we added 120 tetrahedra to the surface of the icosahedron.
Since the RT is 40s3 larger in volume, 40s3/120 makes each tetrahedron 1/3 of an s3.
s9 = (Ø^-14)/2
s12= (Ø^-17)/2
